Triangular norms as ordinal sums of semigroups in the sense of A. H. Clifford View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2002-06

AUTHORS

E. P. Klement, R. Mesiar, E. Pap

ABSTRACT

Ordinal sums of semigroups in the sense of [3] leading to triangular norms [29] are studied, generalizing the ordinal sum of triangular norms [30]. The summands of these general ordinal sums are fully characterized, and the ordinal irreducibility of triangular norms is investigated, inducing a natural partition of the class of all triangular norms. More... »

PAGES

71-82

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s002330010127

DOI

http://dx.doi.org/10.1007/s002330010127

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1029737570


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/2008/1109", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Neurosciences", 
        "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": "Johannes Kepler University of Linz", 
          "id": "https://www.grid.ac/institutes/grid.9970.7", 
          "name": [
            "Department of Algebra, Stochastics and Knowledge-Based Mathematical Systems, Johannes Kepler University, A-4040, Linz, Austria"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Klement", 
        "givenName": "E. P.", 
        "id": "sg:person.010620407107.52", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010620407107.52"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Institute of Information Theory and Automation", 
          "id": "https://www.grid.ac/institutes/grid.424990.2", 
          "name": [
            "Department of Mathematics and Descriptive Geometry Faculty of Civil Engineering, Slovak Technical University, SK-81, 368, Bratislava, Slovakia", 
            "Institute of Information Theory and Automation, Czech Academy of Sciences, CZ-18208, Prague 8, Czech Republic"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Mesiar", 
        "givenName": "R.", 
        "id": "sg:person.013374353164.75", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013374353164.75"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Novi Sad", 
          "id": "https://www.grid.ac/institutes/grid.10822.39", 
          "name": [
            "Institute of Mathematics, University of Novi Sad, YU-21000, Novi Sad, Yugoslavia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Pap", 
        "givenName": "E.", 
        "id": "sg:person.012354470173.10", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012354470173.10"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1073/pnas.28.12.535", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005382584"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4757-3076-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007031563", 
          "https://doi.org/10.1007/978-1-4757-3076-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4757-3076-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007031563", 
          "https://doi.org/10.1007/978-1-4757-3076-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0165-0114(01)00040-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1013950305"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0165-0114(94)00210-x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1016588183"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0002-9947-1958-0095221-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017109168"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02315965", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017833867", 
          "https://doi.org/10.1007/bf02315965"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02315965", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017833867", 
          "https://doi.org/10.1007/bf02315965"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1023562048", 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-017-1648-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1023562048", 
          "https://doi.org/10.1007/978-94-017-1648-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-017-1648-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1023562048", 
          "https://doi.org/10.1007/978-94-017-1648-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0002-9939-1955-0071712-x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033476424"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02189866", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033694060", 
          "https://doi.org/10.1007/bf02189866"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02189866", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033694060", 
          "https://doi.org/10.1007/bf02189866"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1033919378", 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-015-8449-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033919378", 
          "https://doi.org/10.1007/978-94-015-8449-4"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-015-8449-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033919378", 
          "https://doi.org/10.1007/978-94-015-8449-4"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0165-0114(95)00133-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1038583014"
        ], 
        "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/10.1080/11663081.2000.10510989", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1048588926"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0002-9939-1955-0071713-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050417707"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2140/pjm.1960.10.313", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1069062863"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2307/1969668", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1069675037"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2307/2372706", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1069899339"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2002-06", 
    "datePublishedReg": "2002-06-01", 
    "description": "Ordinal sums of semigroups in the sense of [3] leading to triangular norms [29] are studied, generalizing the ordinal sum of triangular norms [30]. The summands of these general ordinal sums are fully characterized, and the ordinal irreducibility of triangular norms is investigated, inducing a natural partition of the class of all triangular norms.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s002330010127", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136094", 
        "issn": [
          "0037-1912", 
          "1432-2137"
        ], 
        "name": "Semigroup Forum", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "65"
      }
    ], 
    "name": "Triangular norms as ordinal sums of semigroups in the sense of A. H. Clifford", 
    "pagination": "71-82", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "8daa13822f7341c75845af52bd329cf3641901d2b815c22961b037fc455f6998"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s002330010127"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1029737570"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s002330010127", 
      "https://app.dimensions.ai/details/publication/pub.1029737570"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T18:15", 
    "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_8675_00000489.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/s002330010127"
  }
]
 

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/s002330010127'

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/s002330010127'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s002330010127'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s002330010127'


 

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

142 TRIPLES      21 PREDICATES      46 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s002330010127 schema:about anzsrc-for:11
2 anzsrc-for:1109
3 schema:author N552d3ea2aa224d08b8958e3d8fcb516a
4 schema:citation sg:pub.10.1007/978-1-4757-3076-0
5 sg:pub.10.1007/978-94-015-8449-4
6 sg:pub.10.1007/978-94-017-1648-2
7 sg:pub.10.1007/bf02189866
8 sg:pub.10.1007/bf02315965
9 https://app.dimensions.ai/details/publication/pub.1023562048
10 https://app.dimensions.ai/details/publication/pub.1033919378
11 https://doi.org/10.1016/0022-247x(84)90061-1
12 https://doi.org/10.1016/0165-0114(94)00210-x
13 https://doi.org/10.1016/0165-0114(95)00133-6
14 https://doi.org/10.1016/s0165-0114(01)00040-9
15 https://doi.org/10.1073/pnas.28.12.535
16 https://doi.org/10.1080/11663081.2000.10510989
17 https://doi.org/10.1090/s0002-9939-1955-0071712-x
18 https://doi.org/10.1090/s0002-9939-1955-0071713-1
19 https://doi.org/10.1090/s0002-9947-1958-0095221-4
20 https://doi.org/10.2140/pjm.1960.10.313
21 https://doi.org/10.2307/1969668
22 https://doi.org/10.2307/2372706
23 schema:datePublished 2002-06
24 schema:datePublishedReg 2002-06-01
25 schema:description Ordinal sums of semigroups in the sense of [3] leading to triangular norms [29] are studied, generalizing the ordinal sum of triangular norms [30]. The summands of these general ordinal sums are fully characterized, and the ordinal irreducibility of triangular norms is investigated, inducing a natural partition of the class of all triangular norms.
26 schema:genre research_article
27 schema:inLanguage en
28 schema:isAccessibleForFree false
29 schema:isPartOf N7f19f4f0e4024365adf12cc4e96aa61d
30 N995602aca84142b4a1328028d9185803
31 sg:journal.1136094
32 schema:name Triangular norms as ordinal sums of semigroups in the sense of A. H. Clifford
33 schema:pagination 71-82
34 schema:productId Na53a8e10060b4336956188636f0e392d
35 Nca5ad79731f6471e811fde7449eb27e6
36 Nff018195b6904248bc1bd3eab4e7eb75
37 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029737570
38 https://doi.org/10.1007/s002330010127
39 schema:sdDatePublished 2019-04-10T18:15
40 schema:sdLicense https://scigraph.springernature.com/explorer/license/
41 schema:sdPublisher Nd175e52185a243058c2528b77e8b7acc
42 schema:url http://link.springer.com/10.1007/s002330010127
43 sgo:license sg:explorer/license/
44 sgo:sdDataset articles
45 rdf:type schema:ScholarlyArticle
46 N0ed0c09779ee43e0afc45bb89db517f8 rdf:first sg:person.013374353164.75
47 rdf:rest N25e63a4aec294aaa86633f87673e7086
48 N25e63a4aec294aaa86633f87673e7086 rdf:first sg:person.012354470173.10
49 rdf:rest rdf:nil
50 N552d3ea2aa224d08b8958e3d8fcb516a rdf:first sg:person.010620407107.52
51 rdf:rest N0ed0c09779ee43e0afc45bb89db517f8
52 N7f19f4f0e4024365adf12cc4e96aa61d schema:issueNumber 1
53 rdf:type schema:PublicationIssue
54 N995602aca84142b4a1328028d9185803 schema:volumeNumber 65
55 rdf:type schema:PublicationVolume
56 Na53a8e10060b4336956188636f0e392d schema:name dimensions_id
57 schema:value pub.1029737570
58 rdf:type schema:PropertyValue
59 Nca5ad79731f6471e811fde7449eb27e6 schema:name readcube_id
60 schema:value 8daa13822f7341c75845af52bd329cf3641901d2b815c22961b037fc455f6998
61 rdf:type schema:PropertyValue
62 Nd175e52185a243058c2528b77e8b7acc schema:name Springer Nature - SN SciGraph project
63 rdf:type schema:Organization
64 Nff018195b6904248bc1bd3eab4e7eb75 schema:name doi
65 schema:value 10.1007/s002330010127
66 rdf:type schema:PropertyValue
67 anzsrc-for:11 schema:inDefinedTermSet anzsrc-for:
68 schema:name Medical and Health Sciences
69 rdf:type schema:DefinedTerm
70 anzsrc-for:1109 schema:inDefinedTermSet anzsrc-for:
71 schema:name Neurosciences
72 rdf:type schema:DefinedTerm
73 sg:journal.1136094 schema:issn 0037-1912
74 1432-2137
75 schema:name Semigroup Forum
76 rdf:type schema:Periodical
77 sg:person.010620407107.52 schema:affiliation https://www.grid.ac/institutes/grid.9970.7
78 schema:familyName Klement
79 schema:givenName E. P.
80 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010620407107.52
81 rdf:type schema:Person
82 sg:person.012354470173.10 schema:affiliation https://www.grid.ac/institutes/grid.10822.39
83 schema:familyName Pap
84 schema:givenName E.
85 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012354470173.10
86 rdf:type schema:Person
87 sg:person.013374353164.75 schema:affiliation https://www.grid.ac/institutes/grid.424990.2
88 schema:familyName Mesiar
89 schema:givenName R.
90 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013374353164.75
91 rdf:type schema:Person
92 sg:pub.10.1007/978-1-4757-3076-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007031563
93 https://doi.org/10.1007/978-1-4757-3076-0
94 rdf:type schema:CreativeWork
95 sg:pub.10.1007/978-94-015-8449-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033919378
96 https://doi.org/10.1007/978-94-015-8449-4
97 rdf:type schema:CreativeWork
98 sg:pub.10.1007/978-94-017-1648-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023562048
99 https://doi.org/10.1007/978-94-017-1648-2
100 rdf:type schema:CreativeWork
101 sg:pub.10.1007/bf02189866 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033694060
102 https://doi.org/10.1007/bf02189866
103 rdf:type schema:CreativeWork
104 sg:pub.10.1007/bf02315965 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017833867
105 https://doi.org/10.1007/bf02315965
106 rdf:type schema:CreativeWork
107 https://app.dimensions.ai/details/publication/pub.1023562048 schema:CreativeWork
108 https://app.dimensions.ai/details/publication/pub.1033919378 schema:CreativeWork
109 https://doi.org/10.1016/0022-247x(84)90061-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045785383
110 rdf:type schema:CreativeWork
111 https://doi.org/10.1016/0165-0114(94)00210-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1016588183
112 rdf:type schema:CreativeWork
113 https://doi.org/10.1016/0165-0114(95)00133-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038583014
114 rdf:type schema:CreativeWork
115 https://doi.org/10.1016/s0165-0114(01)00040-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013950305
116 rdf:type schema:CreativeWork
117 https://doi.org/10.1073/pnas.28.12.535 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005382584
118 rdf:type schema:CreativeWork
119 https://doi.org/10.1080/11663081.2000.10510989 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048588926
120 rdf:type schema:CreativeWork
121 https://doi.org/10.1090/s0002-9939-1955-0071712-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1033476424
122 rdf:type schema:CreativeWork
123 https://doi.org/10.1090/s0002-9939-1955-0071713-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050417707
124 rdf:type schema:CreativeWork
125 https://doi.org/10.1090/s0002-9947-1958-0095221-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017109168
126 rdf:type schema:CreativeWork
127 https://doi.org/10.2140/pjm.1960.10.313 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069062863
128 rdf:type schema:CreativeWork
129 https://doi.org/10.2307/1969668 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069675037
130 rdf:type schema:CreativeWork
131 https://doi.org/10.2307/2372706 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069899339
132 rdf:type schema:CreativeWork
133 https://www.grid.ac/institutes/grid.10822.39 schema:alternateName University of Novi Sad
134 schema:name Institute of Mathematics, University of Novi Sad, YU-21000, Novi Sad, Yugoslavia
135 rdf:type schema:Organization
136 https://www.grid.ac/institutes/grid.424990.2 schema:alternateName Institute of Information Theory and Automation
137 schema:name Department of Mathematics and Descriptive Geometry Faculty of Civil Engineering, Slovak Technical University, SK-81, 368, Bratislava, Slovakia
138 Institute of Information Theory and Automation, Czech Academy of Sciences, CZ-18208, Prague 8, Czech Republic
139 rdf:type schema:Organization
140 https://www.grid.ac/institutes/grid.9970.7 schema:alternateName Johannes Kepler University of Linz
141 schema:name Department of Algebra, Stochastics and Knowledge-Based Mathematical Systems, Johannes Kepler University, A-4040, Linz, Austria
142 rdf:type schema:Organization
 




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


...