Supplementarity measures on fuzzy sets

DOI

10.2991/eusflat.2011.146How to use a DOI?

Keywords

Antonymity in fuzzy sets, supplementary fuzzy sets, antonymous measures, supplementarity measures

Abstract

In this paper, we tackle the study of so-called supplementarity measures. They are introduced axiomatically and are then related to incompatibility measures by antonyms. To do this, we have to establish what we mean by antonymous measure. We then prove that, under certain conditions, supplementarity and incompatibility measures are antonymous. Besides, with the aim of constructing antonymous measures, we introduce the concept of involution on the set made up of all the ordered pairs of fuzzy sets. Finally, we obtain some antonymous supplementarity measures from incompatibility measures by means of involutions.

Copyright

© 2011, 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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TY  - CONF
AU  - Susana Cubillo
AU  - Elena E. Castiñeira
AU  - Wilmer Montilla
PY  - 2011/08
DA  - 2011/08
TI  - Supplementarity measures on fuzzy sets
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 897
EP  - 903
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.146
DO  - 10.2991/eusflat.2011.146
ID  - Cubillo2011/08
ER  -