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Type: Artigo de periódico
Title: On polygonal fuzzy sets and numbers
Author: Baez-Sanchez, AD
Moretti, AC
Rojas-Medar, MA
Abstract: In this paper, we propose a new mathematical formalization of the concept of polygonal fuzzy numbers and an extension of this notion to fuzzy sets on R-n. We study the mathematical structure of these families of fuzzy sets and show that each family is a complete and separable metric space when endowed with the generalized Hausdorff metric. Moreover, we show that for n = 1, the families of polygonal fuzzy numbers are isomorphic to some convex and closed convex cone of a finite dimensional space. We obtain generalizations and extensions of some previous results on polygonal fuzzy numbers and simplified proofs of some well-known results about approximation of fuzzy n-dimensional quantities. Finally, some developments about the approximation of families of fuzzy sets are introduced. (C) 2012 Elsevier B.V. All rights reserved.
Subject: Fuzzy numbers
Polygonal fuzzy numbers
Generalized Hausdorff metric
Approximation of fuzzy numbers
Country: Holanda
Editor: Elsevier Science Bv
Citation: Fuzzy Sets And Systems. Elsevier Science Bv, v. 209, n. 54, n. 65, 2012.
Rights: fechado
Identifier DOI: 10.1016/j.fss.2012.04.003
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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