DocumentCode
1141486
Title
Matrix-pattern-based computer algorithm for solving fuzzy relation equations
Author
Luoh, Leh ; Wang, Wen-June ; Liaw, Yi-Ke
Author_Institution
Chung Shan Inst. of Sci. & Technol., Lungtan, Taiwan
Volume
11
Issue
1
fYear
2003
fDate
2/1/2003 12:00:00 AM
Firstpage
100
Lastpage
108
Abstract
This paper proposes a new computer algorithm to solve the fuzzy relation equation P&ogr;Q=R, where &ogr; denotes max-min composition or max-product composition. This algorithm operates systematically and graphically on a matrix pattern to get all the solutions of P. Furthermore, by using MATLAB software 6.0, the algorithm is implemented in a computer program attached in the appendix of this paper. Two examples are given to illustrate the effectiveness of the proposed algorithm.
Keywords
fuzzy logic; mathematics computing; MATLAB software 6.0; fuzzy relation equations; matrix pattern; matrix-pattern-based computer algorithm; max-min composition; max-product composition; Computational efficiency; Equations; MATLAB; Matrix decomposition; Software algorithms; Sufficient conditions;
fLanguage
English
Journal_Title
Fuzzy Systems, IEEE Transactions on
Publisher
ieee
ISSN
1063-6706
Type
jour
DOI
10.1109/TFUZZ.2002.806322
Filename
1178070
Link To Document