Generation of Interval-Valued Fuzzy Negations from Trillas’ Theorem. The Case of Interval Type-2 Fuzzy Sets
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2015
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Springer International Publishing
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Bustince, H., Barrenechea, E., Fernández, J., Pagola, M., Montero, J.: Generation of Interval-Valued Fuzzy Negations from Trillas’ Theorem. The Case of Interval Type-2 Fuzzy Sets. En: Magdalena, L., Verdegay, J.L., y Esteva, F. (eds.) Enric Trillas: A Passion for Fuzzy Sets. pp. 93-108. Springer International Publishing, Cham (2015)
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.