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Paired Structures and other opposites-based models

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Rodríguez, Juan Tinguaro and Gómez, Daniel and Yáñez, Javier and Montero, Javier and Franco, Camilo (2015) Paired Structures and other opposites-based models. In Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology. Advances in Intelligent Systems Research (89). Atlantis Press, pp. 1514-1519. ISBN 978-94-62520-77-6

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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.


Item Type:Book Section
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16th World Congress of the International-Fuzzy-Systems-Association (IFSA) / 9th Conference of the European-Society-for-Fuzzy-Logic-and-Technology (EUSFLAT), Gijon, SPAIN, JUN 30-JUL 03, 2015

Uncontrolled Keywords:Intuitionistic fuzzy sets; bipolar fuzzy sets; paired fuzzy sets
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:32934
Deposited On:27 Aug 2015 12:02
Last Modified:02 Jun 2016 15:28

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