Monotone Measures-Based Integrals View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2015

AUTHORS

Erich P. Klement , Radko Mesiar

ABSTRACT

The theory of classical measures and integral reflects the genuine property of several quantities in standard physics and/or geometry, namely the σ-additivity. Though monotone measure not assuming σ-additivity appeared naturally in models extending the classical ones (for example, inner and outer measures, where the related integral was considered by Vitali already in 1925), their intensive research was initiated in the past 40 years by the computer science applications in areas reflecting human decisions, such as economy, psychology, multicriteria decision support, etc. In this chapter, we summarize basic types of monotone measures together with the basic monotone measures-based integrals, including the Choquet and Sugeno integrals, and we introduce the concept of universal integrals proposed by Klement etal to give a common roof for all mentioned integrals. Benvenuti’s integrals linked to semicopulas are shown to be a special class of universal integrals. Up to several other integrals, we also introduce decomposition integrals due to Even and Lehrer, and show which decomposition integrals are inside the framework of universal integrals. More... »

PAGES

75-88

References to SciGraph publications

  • 1992. Fuzzy Measure Theory in NONE
  • 2009. Generalized Measure Theory in NONE
  • 2014-05. Decomposition-integral: unifying Choquet and the concave integrals in ECONOMIC THEORY
  • 2012. A Note on Decomposition Integrals in ADVANCES IN COMPUTATIONAL INTELLIGENCE
  • 2009-04. A new integral for capacities in ECONOMIC THEORY
  • 1994. Non-Additive Measure and Integral in NONE
  • 1925-12. Sulla definizione di integrale delle funzioni di una variabile in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 1992-10. Advances in prospect theory: Cumulative representation of uncertainty in JOURNAL OF RISK AND UNCERTAINTY
  • Book

    TITLE

    Springer Handbook of Computational Intelligence

    ISBN

    978-3-662-43504-5
    978-3-662-43505-2

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-662-43505-2_5

    DOI

    http://dx.doi.org/10.1007/978-3-662-43505-2_5

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1017848926


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Pure Mathematics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "name": [
                "Dep. Knowledge-Based Mathematical Systems, Johannes Kepler University"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Klement", 
            "givenName": "Erich P.", 
            "id": "sg:person.010620407107.52", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010620407107.52"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "name": [
                "Dep. Mathematics and Descriptive Geometry, STU in Bratislava"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Mesiar", 
            "givenName": "Radko", 
            "id": "sg:person.013374353164.75", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013374353164.75"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1006/jmaa.1995.1312", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003149153"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.ijar.2013.02.001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004294502"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1004678383", 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4757-5303-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004678383", 
              "https://doi.org/10.1007/978-1-4757-5303-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4757-5303-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004678383", 
              "https://doi.org/10.1007/978-1-4757-5303-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00199-013-0780-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005818471", 
              "https://doi.org/10.1007/s00199-013-0780-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0019-9958(65)90241-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009640697"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0165-0114(91)90089-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016341633"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0165-0114(91)90089-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016341633"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.fss.2010.11.013", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020514292"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0165-0114(78)90029-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020688140"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0165-0114(78)90029-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020688140"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.fss.2003.10.028", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020746674"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-94-017-2434-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025989515", 
              "https://doi.org/10.1007/978-94-017-2434-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-94-017-2434-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025989515", 
              "https://doi.org/10.1007/978-94-017-2434-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0002-9939-1986-0835875-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027014547"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0165-0114(86)80035-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028173839"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0022-247x(87)90354-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029317826"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0165-0114(94)00314-w", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030071649"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.fss.2010.02.004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030897665"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.ijar.2010.10.002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037207570"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00199-007-0302-z", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037538117", 
              "https://doi.org/10.1007/s00199-007-0302-z"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00199-007-0302-z", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037538117", 
              "https://doi.org/10.1007/s00199-007-0302-z"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00122574", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041153045", 
              "https://doi.org/10.1007/bf00122574"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00122574", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041153045", 
              "https://doi.org/10.1007/bf00122574"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1214/aoms/1177698950", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041775618"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s1385-7258(71)80017-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043943123"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02409934", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043984976", 
              "https://doi.org/10.1007/bf02409934"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0022-247x(84)90061-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045785383"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.fss.2007.11.018", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045915309"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1046473572", 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-0-387-76852-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046473572", 
              "https://doi.org/10.1007/978-0-387-76852-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-0-387-76852-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046473572", 
              "https://doi.org/10.1007/978-0-387-76852-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1006/jmaa.2000.6720", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048258658"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/b978-044450263-6/50034-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048479267"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-642-31724-8_57", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049103913", 
              "https://doi.org/10.1007/978-3-642-31724-8_57"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0165-4896(89)90056-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052813842"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1086/296365", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058606191"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/91.917122", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1061248061"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/tfuzz.2009.2039367", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1061606325"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1126/science.71.1831.109", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062643695"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/s0218488597000403", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062977812"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/s0218488599000489", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062977921"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/1911053", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1069639345"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/1969668", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1069675037"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.5802/aif.53", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1073139172"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/cbo9781139644150", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1098777020"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2015", 
        "datePublishedReg": "2015-01-01", 
        "description": "The theory of classical measures and integral reflects the genuine property of several quantities in standard physics and/or geometry, namely the \u03c3-additivity. Though monotone measure not assuming \u03c3-additivity appeared naturally in models extending the classical ones (for example, inner and outer measures, where the related integral was considered by Vitali already in 1925), their intensive research was initiated in the past 40 years by the computer science applications in areas reflecting human decisions, such as economy, psychology, multicriteria decision support, etc. In this chapter, we summarize basic types of monotone measures together with the basic monotone measures-based integrals, including the Choquet and Sugeno integrals, and we introduce the concept of universal integrals proposed by Klement etal to give a\u00a0common roof for all mentioned integrals. Benvenuti\u2019s integrals linked to semicopulas are shown to be a\u00a0special class of universal integrals. Up to several other integrals, we also introduce decomposition integrals due to Even and Lehrer, and show which decomposition integrals are inside the framework of universal integrals.", 
        "editor": [
          {
            "familyName": "Kacprzyk", 
            "givenName": "Janusz", 
            "type": "Person"
          }, 
          {
            "familyName": "Pedrycz", 
            "givenName": "Witold", 
            "type": "Person"
          }
        ], 
        "genre": "chapter", 
        "id": "sg:pub.10.1007/978-3-662-43505-2_5", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": {
          "isbn": [
            "978-3-662-43504-5", 
            "978-3-662-43505-2"
          ], 
          "name": "Springer Handbook of Computational Intelligence", 
          "type": "Book"
        }, 
        "name": "Monotone Measures-Based Integrals", 
        "pagination": "75-88", 
        "productId": [
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/978-3-662-43505-2_5"
            ]
          }, 
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "550b487881186a271eac909f534103001e826d41e4638f1c4e49eecc9c60e4bb"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1017848926"
            ]
          }
        ], 
        "publisher": {
          "location": "Berlin, Heidelberg", 
          "name": "Springer Berlin Heidelberg", 
          "type": "Organisation"
        }, 
        "sameAs": [
          "https://doi.org/10.1007/978-3-662-43505-2_5", 
          "https://app.dimensions.ai/details/publication/pub.1017848926"
        ], 
        "sdDataset": "chapters", 
        "sdDatePublished": "2019-04-15T15:20", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8672_00000254.jsonl", 
        "type": "Chapter", 
        "url": "http://link.springer.com/10.1007/978-3-662-43505-2_5"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-3-662-43505-2_5'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-662-43505-2_5'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-662-43505-2_5'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-662-43505-2_5'


     

    This table displays all metadata directly associated to this object as RDF triples.

    204 TRIPLES      23 PREDICATES      67 URIs      20 LITERALS      8 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/978-3-662-43505-2_5 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N9591783b82064aab8e8c1dda9a2f8247
    4 schema:citation sg:pub.10.1007/978-0-387-76852-6
    5 sg:pub.10.1007/978-1-4757-5303-5
    6 sg:pub.10.1007/978-3-642-31724-8_57
    7 sg:pub.10.1007/978-94-017-2434-0
    8 sg:pub.10.1007/bf00122574
    9 sg:pub.10.1007/bf02409934
    10 sg:pub.10.1007/s00199-007-0302-z
    11 sg:pub.10.1007/s00199-013-0780-0
    12 https://app.dimensions.ai/details/publication/pub.1004678383
    13 https://app.dimensions.ai/details/publication/pub.1046473572
    14 https://doi.org/10.1006/jmaa.1995.1312
    15 https://doi.org/10.1006/jmaa.2000.6720
    16 https://doi.org/10.1016/0022-247x(84)90061-1
    17 https://doi.org/10.1016/0022-247x(87)90354-4
    18 https://doi.org/10.1016/0165-0114(78)90029-5
    19 https://doi.org/10.1016/0165-0114(91)90089-9
    20 https://doi.org/10.1016/0165-0114(94)00314-w
    21 https://doi.org/10.1016/0165-4896(89)90056-5
    22 https://doi.org/10.1016/b978-044450263-6/50034-8
    23 https://doi.org/10.1016/j.fss.2003.10.028
    24 https://doi.org/10.1016/j.fss.2007.11.018
    25 https://doi.org/10.1016/j.fss.2010.02.004
    26 https://doi.org/10.1016/j.fss.2010.11.013
    27 https://doi.org/10.1016/j.ijar.2010.10.002
    28 https://doi.org/10.1016/j.ijar.2013.02.001
    29 https://doi.org/10.1016/s0019-9958(65)90241-x
    30 https://doi.org/10.1016/s0165-0114(86)80035-5
    31 https://doi.org/10.1016/s1385-7258(71)80017-3
    32 https://doi.org/10.1017/cbo9781139644150
    33 https://doi.org/10.1086/296365
    34 https://doi.org/10.1090/s0002-9939-1986-0835875-8
    35 https://doi.org/10.1109/91.917122
    36 https://doi.org/10.1109/tfuzz.2009.2039367
    37 https://doi.org/10.1126/science.71.1831.109
    38 https://doi.org/10.1142/s0218488597000403
    39 https://doi.org/10.1142/s0218488599000489
    40 https://doi.org/10.1214/aoms/1177698950
    41 https://doi.org/10.2307/1911053
    42 https://doi.org/10.2307/1969668
    43 https://doi.org/10.5802/aif.53
    44 schema:datePublished 2015
    45 schema:datePublishedReg 2015-01-01
    46 schema:description The theory of classical measures and integral reflects the genuine property of several quantities in standard physics and/or geometry, namely the σ-additivity. Though monotone measure not assuming σ-additivity appeared naturally in models extending the classical ones (for example, inner and outer measures, where the related integral was considered by Vitali already in 1925), their intensive research was initiated in the past 40 years by the computer science applications in areas reflecting human decisions, such as economy, psychology, multicriteria decision support, etc. In this chapter, we summarize basic types of monotone measures together with the basic monotone measures-based integrals, including the Choquet and Sugeno integrals, and we introduce the concept of universal integrals proposed by Klement etal to give a common roof for all mentioned integrals. Benvenuti’s integrals linked to semicopulas are shown to be a special class of universal integrals. Up to several other integrals, we also introduce decomposition integrals due to Even and Lehrer, and show which decomposition integrals are inside the framework of universal integrals.
    47 schema:editor N6be9c5f5a6da404ab06a627eda19406c
    48 schema:genre chapter
    49 schema:inLanguage en
    50 schema:isAccessibleForFree false
    51 schema:isPartOf N4098b660552f4d74b71594a626d917d3
    52 schema:name Monotone Measures-Based Integrals
    53 schema:pagination 75-88
    54 schema:productId N02856aeddc824764850e7cd5494c4878
    55 N58b8b064d5d74fba8530985e1bee8a42
    56 N64590ad93f57432eae00e952979a1e11
    57 schema:publisher N60d4dd0f35ad4cb791311d5d03d49bf3
    58 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017848926
    59 https://doi.org/10.1007/978-3-662-43505-2_5
    60 schema:sdDatePublished 2019-04-15T15:20
    61 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    62 schema:sdPublisher N7667c2481fb745ac8c4fd2bdf85da4a6
    63 schema:url http://link.springer.com/10.1007/978-3-662-43505-2_5
    64 sgo:license sg:explorer/license/
    65 sgo:sdDataset chapters
    66 rdf:type schema:Chapter
    67 N02856aeddc824764850e7cd5494c4878 schema:name readcube_id
    68 schema:value 550b487881186a271eac909f534103001e826d41e4638f1c4e49eecc9c60e4bb
    69 rdf:type schema:PropertyValue
    70 N1cedac7122734937bcef20527c713bfc schema:familyName Kacprzyk
    71 schema:givenName Janusz
    72 rdf:type schema:Person
    73 N23c6f845ecbd4b9e821ad051e5916a26 schema:name Dep. Mathematics and Descriptive Geometry, STU in Bratislava
    74 rdf:type schema:Organization
    75 N4098b660552f4d74b71594a626d917d3 schema:isbn 978-3-662-43504-5
    76 978-3-662-43505-2
    77 schema:name Springer Handbook of Computational Intelligence
    78 rdf:type schema:Book
    79 N58b8b064d5d74fba8530985e1bee8a42 schema:name dimensions_id
    80 schema:value pub.1017848926
    81 rdf:type schema:PropertyValue
    82 N60d4dd0f35ad4cb791311d5d03d49bf3 schema:location Berlin, Heidelberg
    83 schema:name Springer Berlin Heidelberg
    84 rdf:type schema:Organisation
    85 N64590ad93f57432eae00e952979a1e11 schema:name doi
    86 schema:value 10.1007/978-3-662-43505-2_5
    87 rdf:type schema:PropertyValue
    88 N65110697ddb74f058334aa227750af46 schema:familyName Pedrycz
    89 schema:givenName Witold
    90 rdf:type schema:Person
    91 N6be9c5f5a6da404ab06a627eda19406c rdf:first N1cedac7122734937bcef20527c713bfc
    92 rdf:rest N94787735f3c940edaac417fa20205905
    93 N7667c2481fb745ac8c4fd2bdf85da4a6 schema:name Springer Nature - SN SciGraph project
    94 rdf:type schema:Organization
    95 N94787735f3c940edaac417fa20205905 rdf:first N65110697ddb74f058334aa227750af46
    96 rdf:rest rdf:nil
    97 N9591783b82064aab8e8c1dda9a2f8247 rdf:first sg:person.010620407107.52
    98 rdf:rest Ne4bbedd108604cfdb48694721c0c200e
    99 Ncd49daafd0984646b32ae63832142556 schema:name Dep. Knowledge-Based Mathematical Systems, Johannes Kepler University
    100 rdf:type schema:Organization
    101 Ne4bbedd108604cfdb48694721c0c200e rdf:first sg:person.013374353164.75
    102 rdf:rest rdf:nil
    103 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    104 schema:name Mathematical Sciences
    105 rdf:type schema:DefinedTerm
    106 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    107 schema:name Pure Mathematics
    108 rdf:type schema:DefinedTerm
    109 sg:person.010620407107.52 schema:affiliation Ncd49daafd0984646b32ae63832142556
    110 schema:familyName Klement
    111 schema:givenName Erich P.
    112 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010620407107.52
    113 rdf:type schema:Person
    114 sg:person.013374353164.75 schema:affiliation N23c6f845ecbd4b9e821ad051e5916a26
    115 schema:familyName Mesiar
    116 schema:givenName Radko
    117 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013374353164.75
    118 rdf:type schema:Person
    119 sg:pub.10.1007/978-0-387-76852-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046473572
    120 https://doi.org/10.1007/978-0-387-76852-6
    121 rdf:type schema:CreativeWork
    122 sg:pub.10.1007/978-1-4757-5303-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004678383
    123 https://doi.org/10.1007/978-1-4757-5303-5
    124 rdf:type schema:CreativeWork
    125 sg:pub.10.1007/978-3-642-31724-8_57 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049103913
    126 https://doi.org/10.1007/978-3-642-31724-8_57
    127 rdf:type schema:CreativeWork
    128 sg:pub.10.1007/978-94-017-2434-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025989515
    129 https://doi.org/10.1007/978-94-017-2434-0
    130 rdf:type schema:CreativeWork
    131 sg:pub.10.1007/bf00122574 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041153045
    132 https://doi.org/10.1007/bf00122574
    133 rdf:type schema:CreativeWork
    134 sg:pub.10.1007/bf02409934 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043984976
    135 https://doi.org/10.1007/bf02409934
    136 rdf:type schema:CreativeWork
    137 sg:pub.10.1007/s00199-007-0302-z schema:sameAs https://app.dimensions.ai/details/publication/pub.1037538117
    138 https://doi.org/10.1007/s00199-007-0302-z
    139 rdf:type schema:CreativeWork
    140 sg:pub.10.1007/s00199-013-0780-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005818471
    141 https://doi.org/10.1007/s00199-013-0780-0
    142 rdf:type schema:CreativeWork
    143 https://app.dimensions.ai/details/publication/pub.1004678383 schema:CreativeWork
    144 https://app.dimensions.ai/details/publication/pub.1046473572 schema:CreativeWork
    145 https://doi.org/10.1006/jmaa.1995.1312 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003149153
    146 rdf:type schema:CreativeWork
    147 https://doi.org/10.1006/jmaa.2000.6720 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048258658
    148 rdf:type schema:CreativeWork
    149 https://doi.org/10.1016/0022-247x(84)90061-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045785383
    150 rdf:type schema:CreativeWork
    151 https://doi.org/10.1016/0022-247x(87)90354-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029317826
    152 rdf:type schema:CreativeWork
    153 https://doi.org/10.1016/0165-0114(78)90029-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020688140
    154 rdf:type schema:CreativeWork
    155 https://doi.org/10.1016/0165-0114(91)90089-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016341633
    156 rdf:type schema:CreativeWork
    157 https://doi.org/10.1016/0165-0114(94)00314-w schema:sameAs https://app.dimensions.ai/details/publication/pub.1030071649
    158 rdf:type schema:CreativeWork
    159 https://doi.org/10.1016/0165-4896(89)90056-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052813842
    160 rdf:type schema:CreativeWork
    161 https://doi.org/10.1016/b978-044450263-6/50034-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048479267
    162 rdf:type schema:CreativeWork
    163 https://doi.org/10.1016/j.fss.2003.10.028 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020746674
    164 rdf:type schema:CreativeWork
    165 https://doi.org/10.1016/j.fss.2007.11.018 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045915309
    166 rdf:type schema:CreativeWork
    167 https://doi.org/10.1016/j.fss.2010.02.004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030897665
    168 rdf:type schema:CreativeWork
    169 https://doi.org/10.1016/j.fss.2010.11.013 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020514292
    170 rdf:type schema:CreativeWork
    171 https://doi.org/10.1016/j.ijar.2010.10.002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037207570
    172 rdf:type schema:CreativeWork
    173 https://doi.org/10.1016/j.ijar.2013.02.001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004294502
    174 rdf:type schema:CreativeWork
    175 https://doi.org/10.1016/s0019-9958(65)90241-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1009640697
    176 rdf:type schema:CreativeWork
    177 https://doi.org/10.1016/s0165-0114(86)80035-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028173839
    178 rdf:type schema:CreativeWork
    179 https://doi.org/10.1016/s1385-7258(71)80017-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043943123
    180 rdf:type schema:CreativeWork
    181 https://doi.org/10.1017/cbo9781139644150 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098777020
    182 rdf:type schema:CreativeWork
    183 https://doi.org/10.1086/296365 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058606191
    184 rdf:type schema:CreativeWork
    185 https://doi.org/10.1090/s0002-9939-1986-0835875-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027014547
    186 rdf:type schema:CreativeWork
    187 https://doi.org/10.1109/91.917122 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061248061
    188 rdf:type schema:CreativeWork
    189 https://doi.org/10.1109/tfuzz.2009.2039367 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061606325
    190 rdf:type schema:CreativeWork
    191 https://doi.org/10.1126/science.71.1831.109 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062643695
    192 rdf:type schema:CreativeWork
    193 https://doi.org/10.1142/s0218488597000403 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062977812
    194 rdf:type schema:CreativeWork
    195 https://doi.org/10.1142/s0218488599000489 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062977921
    196 rdf:type schema:CreativeWork
    197 https://doi.org/10.1214/aoms/1177698950 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041775618
    198 rdf:type schema:CreativeWork
    199 https://doi.org/10.2307/1911053 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069639345
    200 rdf:type schema:CreativeWork
    201 https://doi.org/10.2307/1969668 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069675037
    202 rdf:type schema:CreativeWork
    203 https://doi.org/10.5802/aif.53 schema:sameAs https://app.dimensions.ai/details/publication/pub.1073139172
    204 rdf:type schema:CreativeWork
     




    Preview window. Press ESC to close (or click here)


    ...