Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)

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Interpretable Monotonicities for Entropies of Intuitionistic Fuzzy Sets or Interval-valued Fuzzy Sets

Authors
Christophe Marsala, Bernadette Bouchon-Meunier
Corresponding Author
Christophe Marsala
Available Online 30 August 2021.
DOI
10.2991/asum.k.210827.007How to use a DOI?
Keywords
Entropy, Information measure, Intuionistic fuzzy sets, Interval-valued fuzzy sets, Monotonicity, Polar representation
Abstract

Monotonicity is a major property of entropy measures. In this paper, we focus on entropy measures for intuitionistic fuzzy sets and interval-valued fuzzy sets. We consider their polar representation which provides an easy interpretation of monotonicity for several entropy measures introduced in the literature. Moreover, this polar representation enables us to propose two new kinds of monotonicity for such entropies, that offer a more understandable way to explain differences of entropies. Classical measures of entropy for intuitionistic fuzzy sets are compared with regard to these new forms of monotonicity.

Copyright
© 2021, 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/).

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Volume Title
Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
30 August 2021
ISBN
10.2991/asum.k.210827.007
ISSN
2589-6644
DOI
10.2991/asum.k.210827.007How to use a DOI?
Copyright
© 2021, 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

risenwbib
TY  - CONF
AU  - Christophe Marsala
AU  - Bernadette Bouchon-Meunier
PY  - 2021
DA  - 2021/08/30
TI  - Interpretable Monotonicities for Entropies of Intuitionistic Fuzzy Sets or Interval-valued Fuzzy Sets
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 48
EP  - 54
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.007
DO  - 10.2991/asum.k.210827.007
ID  - Marsala2021
ER  -