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Generation of Interval-Valued Fuzzy Negations from Trillas’ Theorem. The Case of Interval Type-2 Fuzzy Sets

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Bustince, H. and Barrenechea, E. and Fernández, J. and Pagola, M. and Montero, Javier (2015) Generation of Interval-Valued Fuzzy Negations from Trillas’ Theorem. The Case of Interval Type-2 Fuzzy Sets. In Enric Trillas: A Passion for Fuzzy Sets. A Collection of Recent Works on Fuzzy Logic. Studies in Fuzziness and Soft Computing (322). Springer International Publishing, pp. 93-108. ISBN 978-3-319-16234-8

Official URL: http://link.springer.com/chapter/10.1007/978-3-319-16235-5_8


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Abstract

In this work we introduce a method for building interval-valued negations using the characterization theorem for strong negations which was proposed by Trillas in 1979. We also show that interval type-2 fuzzy sets are a three dimensional representation of interval-valued fuzzy sets and we analyze the problems to build complementation for such interval type-2 fuzzy sets. We finally propose a method to construct this complementation.


Item Type:Book Section
Uncontrolled Keywords:Interval-valued negation; Interval-valud fuzzy sets; Interval type 2 fuzzy set; Complementation
Subjects:Sciences > Mathematics > Logic, Symbolic and mathematical
ID Code:29529
Deposited On:14 Apr 2015 12:39
Last Modified:20 Apr 2016 13:08

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