DocumentCode
3566976
Title
Algorithm for solution of fuzzy relation equations
Author
Miyagi, H. ; Fukumura, H. ; Kamiya, K. ; Yamashita, K.
Author_Institution
Fac. of Eng., Ryukyus Univ., Okinawa, Japan
Volume
4
fYear
1997
Firstpage
4005
Abstract
The purpose of the paper is to provide an algorithm to solve the Sup·min and Inf·max composite fuzzy relation equations. The method has three main features. One is that the process of the solution is simple, utilizing the criterion matrix and the auxiliary matrix. Another is that the resultant, redundant sets can be excluded using the rule of exclusion in advance. Moreover, the procedure which can eliminate operations to derive the dependent answers is developed. With the above features, the algorithm removes useless computations and can lead all independent answers by simple logical operation
Keywords
fuzzy logic; fuzzy set theory; matrix algebra; auxiliary matrix; composite fuzzy relation equations; criterion matrix; dependent answers; exclusion rule; redundant sets; simple logical operation; Ambient intelligence; Equations; Fuzzy control; Fuzzy sets; Fuzzy systems; Helium; Hybrid intelligent systems; Linear matrix inequalities;
fLanguage
English
Publisher
ieee
Conference_Titel
Systems, Man, and Cybernetics, 1997. Computational Cybernetics and Simulation., 1997 IEEE International Conference on
ISSN
1062-922X
Print_ISBN
0-7803-4053-1
Type
conf
DOI
10.1109/ICSMC.1997.633298
Filename
633298
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