One simple procedure to finding the best approximate solution for a particular fuzzy relational equation with max-min composition

Yak Kuen Wu*, Chia Cheng Liu, Yung Yih Lur, Sy Ming Guu

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Scopus citations

Abstract

Fuzzy relational equations have played an important role in fuzzy modeling and applied to many practical problems. Most theories of fuzzy relational equations based on a premise that the solution set is not empty. However, this is often not the case in practical applications. Recently, Chakraborty et al. presented an efficient algorithm to solve the best approximate solution for the fuzzy relational equations,X A = I, with max-min composition, where I denotes the identity matrix. In this paper, new theoretical results are proposed for solving this particular problem. Hence, one simple procedure can be presented to find the best approximate solution quickly. A numerical example is provided to illustrate the procedure.

Original languageEnglish
Title of host publication3rd International Joint Conference on Computational Sciences and Optimization, CSO 2010
Subtitle of host publicationTheoretical Development and Engineering Practice
Pages141-144
Number of pages4
DOIs
StatePublished - 2010
Externally publishedYes
Event3rd International Joint Conference on Computational Sciences and Optimization, CSO 2010: Theoretical Development and Engineering Practice - Huangshan, Anhui, China
Duration: 28 05 201031 05 2010

Publication series

Name3rd International Joint Conference on Computational Sciences and Optimization, CSO 2010: Theoretical Development and Engineering Practice
Volume2

Conference

Conference3rd International Joint Conference on Computational Sciences and Optimization, CSO 2010: Theoretical Development and Engineering Practice
Country/TerritoryChina
CityHuangshan, Anhui
Period28/05/1031/05/10

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