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An axiomatic definition of cardinality for finite interval-valued hesitant fuzzy sets
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 
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