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Title On the problem of comparing ordered ordinary fuzzy multisets Author info Ángel Riesgo, Pedro Alonso ... [et al.] Author Riesgo Ángel (5%)
Co-authors Alonso Pedro (5%)
Díaz Irene (5%)
Janiš Vladimír 1963- (40%) UMBFP10 - Katedra matematiky
Kobza Vladimír 1988- (40%) UMBFP10 - Katedra matematiky
Montes Susana (5%)
Source document Information processing and management of uncertainty in knowledge-based systems. Theory and foundations : communications in computer and information science (CCIS) : 17th international conference IPMU 2018, Cádiz, 11.-15.06.2018, Vol. 854. Pp. 344-355. - Cham : Springer International Publishing, 2018 ; Information processing and management of uncertainty in knowledge-based systems 2018 IPMU 2018 Note Authors acknowledge financial support by the Spanish Ministry under Projects TIN2014-59543-P and TIN2017-87600-P. Keywords divergence measure fuzzy multisets aggregation functions Language English Country Germany systematics 51 Annotation In this work we deal with a particular type of hesitant fuzzy set, in the case where membership values can appear multiple times and are ordered. They are called ordered ordinary fuzzy multisets. Some operations between them are introduced by means of an extension principle. In particular, the divergence measures between two of these multisets are defined and we have studied in detail the local family of divergences. Finally, these measures are related to the ones given for ordinary fuzzy sets Public work category AFC No. of Archival Copy 42852 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
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Title On cardinalities of finite interval-valued hesitant fuzzy sets Author info Pelayo Quirós, Pedro Alonso ... [et al.] Author Quirós Pelayo (5%)
Co-authors Alonso Pedro (5%)
Díaz Irene (5%)
Janiš Vladimír 1963- (80%) UMBFP10 - Katedra matematiky
Montes Susana (5%)
Source document Information sciences. Vol. 418-419, (2017), pp. 421-431. - New York : Elsevier Science Ltd., 2017 Keywords fuzzy množiny - fuzzy sets interval-valued fuzzy sets cardinalities Language English Country United States of America systematics 51 Annotation Certain extensions of the classical fuzzy sets have been studied in depth since they have a remarkable importance in many practical situations. We focus on finite interval-valued hesitant fuzzy sets, as they generalize the most usual sets (fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets), so the results obtained can be immediately adapted to these types of sets. In addition, their membership functions are much more manageable than type-2 fuzzy sets. In this work, the cardinality of finite interval-valued hesitant fuzzy sets is studied from an axiomatic point of view, together with several properties that this definition satisfies, which enable to relate it to the classical definitions of cardinality given by other authors for fuzzy sets Public work category ADC No. of Archival Copy 40450 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title An axiomatic definition of cardinality for finite interval-valued hesitant fuzzy sets Author info Pelayo Quiros, Pedro Alonso, Irene Díaz, Vladimír Janiš Co-authors Quiros Pelayo (20%)
Alonso Pedro (10%)
Díaz Irene (20%)
Janiš Vladimír 1963- (50%) UMBFP10 - Katedra matematiky
Source document Advances in intelligent systems research : proceedings of the 2015 conference of the International fuzzy systems association and the European society for fuzzy logic and technology : 16th World congress of the International-Fuzzy-Systems-Association (IFSA) / 9th Conference of the European-Society-for-Fuzzy-Logic-and-Technology (EUSFLAT), Gijon, Spain, Jun 30 - July 03, 2015, Vol. 89 (2015). S. 1238-1244. - Paris : Atlantis Press, 2015 ; 6th World congress of the International-Fuzzy-Systems-Association (IFSA) svetový kongres ; 9th Conference of the European-Society-for-Fuzzy-Logic-and-Technology (EUSFLAT) konferencia Keywords fuzzy množiny - fuzzy sets intervalovo ohodnotené fuzzy množiny interval-valued fuzzy sets Language English Country France systematics 519 Annotation Recently, some extensions of the classical fuzzy sets are studied in depth due to the good properties that they present. Among them, in this paper finite interval-valued hesitant fuzzy sets are the central piece of the study, as they are a generalization of more usual sets, so the results obtained can be im- mediately adapted to them. In this work, the cardinality of finite interval- valued hesitant fuzzy sets is studied from an ax- iomatic point of view, along with several properties that this definition satisfies, being able to relate it to the classical definitions of cardinality given by Wygralak or Ralescu for fuzzy sets Public work category AFC No. of Archival Copy 35354 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
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