Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

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

Authors
Pelayo Quirós, Pedro Alonso, Irene Díaz, Vladimír Janiš
Corresponding Author
Pelayo Quirós
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.175How to use a DOI?
Keywords
Fuzzy sets, hesitant fuzzy sets, intervalvalued hesitant fuzzy sets, cardinality.
Abstract
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 immediately adapted to them. In this work, the cardinality of finite intervalvalued hesitant fuzzy sets is studied from an axiomatic 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.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Cite this article

TY  - CONF
AU  - Pelayo Quirós
AU  - Pedro Alonso
AU  - Irene Díaz
AU  - Vladimír Janiš
PY  - 2015/06
DA  - 2015/06
TI  - An axiomatic definition of cardinality for finite interval-valued hesitant fuzzy sets
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 1238
EP  - 1244
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.175
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.175
ID  - Quirós2015/06
ER  -