The Bipolar Universal Integral View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2012

AUTHORS

Salvatore Greco , Radko Mesiar , Fabio Rindone

ABSTRACT

The concept of universal integral, recently proposed, generalizes the Choquet, Shilkret and Sugeno integrals. Those integrals admit a bipolar formulation, useful in those situations where the underlying scale is bipolar. In this paper we propose the bipolar universal integral generalizing the Choquet, Shilkret and Sugeno bipolar integrals. To complete the generalization we also provide the characterization of the bipolar universal integral with respect to a level dependent bi-capacity. More... »

PAGES

360-369

Book

TITLE

Advances in Computational Intelligence

ISBN

978-3-642-31717-0
978-3-642-31718-7

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-31718-7_38

DOI

http://dx.doi.org/10.1007/978-3-642-31718-7_38

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1050802762


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/2008/1103", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Clinical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/11", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Medical and Health Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of Catania", 
          "id": "https://www.grid.ac/institutes/grid.8158.4", 
          "name": [
            "Department of Economics and Business, University of Catania, Corso Italia 55, 95129\u00a0Catania, Italy"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Greco", 
        "givenName": "Salvatore", 
        "id": "sg:person.012624765541.54", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012624765541.54"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Slovak University of Technology in Bratislava", 
          "id": "https://www.grid.ac/institutes/grid.440789.6", 
          "name": [
            "Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia"
          ], 
          "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"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Catania", 
          "id": "https://www.grid.ac/institutes/grid.8158.4", 
          "name": [
            "Department of Economics and Business, University of Catania, Corso Italia 55, 95129\u00a0Catania, Italy"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Rindone", 
        "givenName": "Fabio", 
        "id": "sg:person.011337561061.38", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011337561061.38"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/j.fss.2004.08.012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1014810047"
        ], 
        "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/j.fss.2011.03.012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022952604"
        ], 
        "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": "https://doi.org/10.1016/s0165-0114(02)00499-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050196078"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0165-0114(02)00499-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050196078"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.disc.2004.05.013", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051171129"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.fss.2004.08.013", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053007411"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/tfuzz.2008.2005992", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061606145"
        ], 
        "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/10.5802/aif.53", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1073139172"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/sisy.2009.5291185", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1093783041"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2012", 
    "datePublishedReg": "2012-01-01", 
    "description": "The concept of universal integral, recently proposed, generalizes the Choquet, Shilkret and Sugeno integrals. Those integrals admit a bipolar formulation, useful in those situations where the underlying scale is bipolar. In this paper we propose the bipolar universal integral generalizing the Choquet, Shilkret and Sugeno bipolar integrals. To complete the generalization we also provide the characterization of the bipolar universal integral with respect to a level dependent bi-capacity.", 
    "editor": [
      {
        "familyName": "Greco", 
        "givenName": "Salvatore", 
        "type": "Person"
      }, 
      {
        "familyName": "Bouchon-Meunier", 
        "givenName": "Bernadette", 
        "type": "Person"
      }, 
      {
        "familyName": "Coletti", 
        "givenName": "Giulianella", 
        "type": "Person"
      }, 
      {
        "familyName": "Fedrizzi", 
        "givenName": "Mario", 
        "type": "Person"
      }, 
      {
        "familyName": "Matarazzo", 
        "givenName": "Benedetto", 
        "type": "Person"
      }, 
      {
        "familyName": "Yager", 
        "givenName": "Ronald R.", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-642-31718-7_38", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-642-31717-0", 
        "978-3-642-31718-7"
      ], 
      "name": "Advances in Computational Intelligence", 
      "type": "Book"
    }, 
    "name": "The Bipolar Universal Integral", 
    "pagination": "360-369", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-642-31718-7_38"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "f200f75c7ea7274a216717a663e7f5562b2b211891cc1b48413fec3344f9064a"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1050802762"
        ]
      }
    ], 
    "publisher": {
      "location": "Berlin, Heidelberg", 
      "name": "Springer Berlin Heidelberg", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-642-31718-7_38", 
      "https://app.dimensions.ai/details/publication/pub.1050802762"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-15T22:58", 
    "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_8695_00000274.jsonl", 
    "type": "Chapter", 
    "url": "http://link.springer.com/10.1007/978-3-642-31718-7_38"
  }
]
 

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.10.1007/978-3-642-31718-7_38'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-31718-7_38'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-31718-7_38'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-31718-7_38'


 

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

140 TRIPLES      23 PREDICATES      38 URIs      20 LITERALS      8 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-642-31718-7_38 schema:about anzsrc-for:11
2 anzsrc-for:1103
3 schema:author N974bcf2a00cc40259f8d51810500bcda
4 schema:citation https://doi.org/10.1016/j.disc.2004.05.013
5 https://doi.org/10.1016/j.fss.2004.08.012
6 https://doi.org/10.1016/j.fss.2004.08.013
7 https://doi.org/10.1016/j.fss.2010.11.013
8 https://doi.org/10.1016/j.fss.2011.03.012
9 https://doi.org/10.1016/s0165-0114(02)00499-2
10 https://doi.org/10.1016/s1385-7258(71)80017-3
11 https://doi.org/10.1109/sisy.2009.5291185
12 https://doi.org/10.1109/tfuzz.2008.2005992
13 https://doi.org/10.1109/tfuzz.2009.2039367
14 https://doi.org/10.5802/aif.53
15 schema:datePublished 2012
16 schema:datePublishedReg 2012-01-01
17 schema:description The concept of universal integral, recently proposed, generalizes the Choquet, Shilkret and Sugeno integrals. Those integrals admit a bipolar formulation, useful in those situations where the underlying scale is bipolar. In this paper we propose the bipolar universal integral generalizing the Choquet, Shilkret and Sugeno bipolar integrals. To complete the generalization we also provide the characterization of the bipolar universal integral with respect to a level dependent bi-capacity.
18 schema:editor N923a8a7a159c4d2cb21d3767710a9ee2
19 schema:genre chapter
20 schema:inLanguage en
21 schema:isAccessibleForFree false
22 schema:isPartOf N3ce3f04401544db28d3eab1bc7e77ecd
23 schema:name The Bipolar Universal Integral
24 schema:pagination 360-369
25 schema:productId N795ee3d5e4b940f0891caad8797798e8
26 Nd9e7b0b121594b4b8702e2868f5759df
27 Nfd04bb17ba8d4aff80489562fb8315d1
28 schema:publisher N67e124ef625348f281a76e219d7e827a
29 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050802762
30 https://doi.org/10.1007/978-3-642-31718-7_38
31 schema:sdDatePublished 2019-04-15T22:58
32 schema:sdLicense https://scigraph.springernature.com/explorer/license/
33 schema:sdPublisher Nd19c721e0f1f402e92cddffa2dc4e972
34 schema:url http://link.springer.com/10.1007/978-3-642-31718-7_38
35 sgo:license sg:explorer/license/
36 sgo:sdDataset chapters
37 rdf:type schema:Chapter
38 N01d97e2fbba846ad84538ba2574351e1 rdf:first sg:person.011337561061.38
39 rdf:rest rdf:nil
40 N1b950641854d4c1cbef4a0f2934aa69e rdf:first N9b6579a1bb954cc7bb13669912cdca9f
41 rdf:rest N3aabfb37f7754718906348812ea87942
42 N3aabfb37f7754718906348812ea87942 rdf:first N9b8e318dd6804333947597860cf84a72
43 rdf:rest N4e73c9759db140a780017ba6981c277a
44 N3ce3f04401544db28d3eab1bc7e77ecd schema:isbn 978-3-642-31717-0
45 978-3-642-31718-7
46 schema:name Advances in Computational Intelligence
47 rdf:type schema:Book
48 N401cbcbac87d47c490445029897a2697 schema:familyName Yager
49 schema:givenName Ronald R.
50 rdf:type schema:Person
51 N4e73c9759db140a780017ba6981c277a rdf:first Neddca838502b4f87980bfc693f9fd498
52 rdf:rest N9d91c96717044c37a998d630e223ca65
53 N67e124ef625348f281a76e219d7e827a schema:location Berlin, Heidelberg
54 schema:name Springer Berlin Heidelberg
55 rdf:type schema:Organisation
56 N795ee3d5e4b940f0891caad8797798e8 schema:name readcube_id
57 schema:value f200f75c7ea7274a216717a663e7f5562b2b211891cc1b48413fec3344f9064a
58 rdf:type schema:PropertyValue
59 N923a8a7a159c4d2cb21d3767710a9ee2 rdf:first Nd7052137c0634b0689667f884192e25b
60 rdf:rest N1b950641854d4c1cbef4a0f2934aa69e
61 N974bcf2a00cc40259f8d51810500bcda rdf:first sg:person.012624765541.54
62 rdf:rest Nc3a2a95a24f44cbebf513a2081c35a48
63 N9b6579a1bb954cc7bb13669912cdca9f schema:familyName Bouchon-Meunier
64 schema:givenName Bernadette
65 rdf:type schema:Person
66 N9b8e318dd6804333947597860cf84a72 schema:familyName Coletti
67 schema:givenName Giulianella
68 rdf:type schema:Person
69 N9d91c96717044c37a998d630e223ca65 rdf:first Nebf7c87151b347619c9eda29266e0f0c
70 rdf:rest Na68d162fa57d4aa79823a0657da44929
71 Na68d162fa57d4aa79823a0657da44929 rdf:first N401cbcbac87d47c490445029897a2697
72 rdf:rest rdf:nil
73 Nc3a2a95a24f44cbebf513a2081c35a48 rdf:first sg:person.013374353164.75
74 rdf:rest N01d97e2fbba846ad84538ba2574351e1
75 Nd19c721e0f1f402e92cddffa2dc4e972 schema:name Springer Nature - SN SciGraph project
76 rdf:type schema:Organization
77 Nd7052137c0634b0689667f884192e25b schema:familyName Greco
78 schema:givenName Salvatore
79 rdf:type schema:Person
80 Nd9e7b0b121594b4b8702e2868f5759df schema:name dimensions_id
81 schema:value pub.1050802762
82 rdf:type schema:PropertyValue
83 Nebf7c87151b347619c9eda29266e0f0c schema:familyName Matarazzo
84 schema:givenName Benedetto
85 rdf:type schema:Person
86 Neddca838502b4f87980bfc693f9fd498 schema:familyName Fedrizzi
87 schema:givenName Mario
88 rdf:type schema:Person
89 Nfd04bb17ba8d4aff80489562fb8315d1 schema:name doi
90 schema:value 10.1007/978-3-642-31718-7_38
91 rdf:type schema:PropertyValue
92 anzsrc-for:11 schema:inDefinedTermSet anzsrc-for:
93 schema:name Medical and Health Sciences
94 rdf:type schema:DefinedTerm
95 anzsrc-for:1103 schema:inDefinedTermSet anzsrc-for:
96 schema:name Clinical Sciences
97 rdf:type schema:DefinedTerm
98 sg:person.011337561061.38 schema:affiliation https://www.grid.ac/institutes/grid.8158.4
99 schema:familyName Rindone
100 schema:givenName Fabio
101 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011337561061.38
102 rdf:type schema:Person
103 sg:person.012624765541.54 schema:affiliation https://www.grid.ac/institutes/grid.8158.4
104 schema:familyName Greco
105 schema:givenName Salvatore
106 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012624765541.54
107 rdf:type schema:Person
108 sg:person.013374353164.75 schema:affiliation https://www.grid.ac/institutes/grid.440789.6
109 schema:familyName Mesiar
110 schema:givenName Radko
111 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013374353164.75
112 rdf:type schema:Person
113 https://doi.org/10.1016/j.disc.2004.05.013 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051171129
114 rdf:type schema:CreativeWork
115 https://doi.org/10.1016/j.fss.2004.08.012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014810047
116 rdf:type schema:CreativeWork
117 https://doi.org/10.1016/j.fss.2004.08.013 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053007411
118 rdf:type schema:CreativeWork
119 https://doi.org/10.1016/j.fss.2010.11.013 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020514292
120 rdf:type schema:CreativeWork
121 https://doi.org/10.1016/j.fss.2011.03.012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022952604
122 rdf:type schema:CreativeWork
123 https://doi.org/10.1016/s0165-0114(02)00499-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050196078
124 rdf:type schema:CreativeWork
125 https://doi.org/10.1016/s1385-7258(71)80017-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043943123
126 rdf:type schema:CreativeWork
127 https://doi.org/10.1109/sisy.2009.5291185 schema:sameAs https://app.dimensions.ai/details/publication/pub.1093783041
128 rdf:type schema:CreativeWork
129 https://doi.org/10.1109/tfuzz.2008.2005992 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061606145
130 rdf:type schema:CreativeWork
131 https://doi.org/10.1109/tfuzz.2009.2039367 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061606325
132 rdf:type schema:CreativeWork
133 https://doi.org/10.5802/aif.53 schema:sameAs https://app.dimensions.ai/details/publication/pub.1073139172
134 rdf:type schema:CreativeWork
135 https://www.grid.ac/institutes/grid.440789.6 schema:alternateName Slovak University of Technology in Bratislava
136 schema:name Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia
137 rdf:type schema:Organization
138 https://www.grid.ac/institutes/grid.8158.4 schema:alternateName University of Catania
139 schema:name Department of Economics and Business, University of Catania, Corso Italia 55, 95129 Catania, Italy
140 rdf:type schema:Organization
 




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


...