An axiomatic definition of cardinality for finite interval-valued hesitant fuzzy sets
- https://doi.org/10.2991/ifsa-eusflat-15.2015.175How to use a DOI?
- Fuzzy sets, hesitant fuzzy sets, intervalvalued hesitant fuzzy sets, cardinality.
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.
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
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 -