Defuzzification: criteria and classification
type: Item
instance of: scholarly article
title: Defuzzification: criteria and classification
zbMATH Open document ID: 0962.93057
DOI: 10.1016/S0165-0114(97)00337-0
author: Werner Van Leekwijck
author: E. E. Kerre
published in: Fuzzy Sets and Systems
publication date: 2000-04-10T00:00:00Z
review text: The paper is devoted to the evaluation of various defuzzification methods encountered in the existing literature. By defuzzification we mean a transformation of a fuzzy set into its numeric representative. General evaluation criteria are outlined (including core selection, scale invariance, monotony, triangular conorm criterion, continuity as well as computational complexity). The taxonomy of the defuzzification methods under discussion includes three main groups: maxima methods, distribution methods, and area methods. It has been found that the maxima methods conform to the basic criteria such as core selection, scale invariance, monotony, and a triangular conorm criterion. The two other groups do not satisfy these criteria but provide the continuity property.
reviewed by: Witold Pedrycz
Mathematics Subject Classification ID: 93C42
zbMATH DE Number: 1400231
zbMATH Keywords: membership functions
zbMATH Keywords: defuzzification methods
zbMATH Keywords: evaluation criteria
zbMATH Keywords: maxima methods
zbMATH Keywords: distribution methods
zbMATH Keywords: area methods
Wikidata QID: Q56453975
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1400231