Minimization approach to membership evaluation in fuzzy sets and error analysis
type: Item
instance of: scholarly article
title: Minimization approach to membership evaluation in fuzzy sets and error analysis
zbMATH Open document ID: 0683.90005
DOI: 10.1007/BF00939539
author: Evangelos Triantaphyllou
author: Panos M. Pardalos
author: S. H. Mann
published in: Journal of Optimization Theory and Applications
publication date: 1990-01-01T00:00:00Z
review text: Evaluation of the degree of membership in fuzzy sets is a fundamental topic in fuzzy set theory. \textit{T. L. Saaty} [J. Math. Psychol. 15, 234- 281 (1977; Zbl 0372.62084)] proposes a method for solving this problem that has been widely accepted. In this paper, we examine the problem from an error minimization point of view that attempts to reflect the real intentions of the decision maker. When this approach is used, the findings reveal that fuzzy sets of different cardinalities have dramatically different requirements in the consistency level of the input data as far as the error minimization criterion is concerned.
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4119886
zbMATH Keywords: degree of membership
zbMATH Keywords: fuzzy sets
zbMATH Keywords: error minimization point
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00939539
OpenAlex ID: W1983151268
description: scientific article; zbMATH DE number 4119886