Paired Structures and other opposites-based models

DOI

10.2991/ifsa-eusflat-15.2015.194How to use a DOI?

Keywords

Intuitionistic fuzzy sets, bipolar fuzzy sets, paired fuzzy sets.

Abstract

In this paper we present a new class of fuzzy sets, paired fuzzy sets, that tries to overcome any conflict between families of fuzzy sets that share a main characteristic: that they are generated from two basic opposite fuzzy sets. Hence, the first issue is to formalize the notion of opposition, that we will assume dependent on a specific negation, previously determined. In this way we can define a paired fuzzy set as a couple of opposite valuation fuzzy sets. Then we shall explore what kind of new valuation fuzzy sets can be generated from the semantic tension between those two poles, leading to a more complex valuation structure that still keeps the essence of being paired. In this way several neutral fuzzy sets can appear, in particular indeterminacy, ambivalence and conflict. Two consequences are then presented: on one hand, we will show how Atanassov´s Intuitionistic Fuzzy Sets can be viewed as a particular paired structure when the classical fuzzy negation is considered; on the other hand, the relationship of this model with bipolarity is reconsidered from our paired view.

Copyright

© 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/).

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TY  - CONF
AU  - J. Tinguaro Rodríguez
AU  - Camilo Franco
AU  - Daniel Gómez
AU  - Javier Montero
PY  - 2015/06
DA  - 2015/06
TI  - Paired Structures and other opposites-based models
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  - 1375
EP  - 1381
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.194
DO  - 10.2991/ifsa-eusflat-15.2015.194
ID  - Rodríguez2015/06
ER  -