Title :
An efficient solution procedure for fuzzy relation equations with max-product composition
Author :
Loetamonphong, Jiranut ; Fang, Shu-Cherng
Author_Institution :
Dept. of Ind. Eng., North Carolina State Univ., Raleigh, NC, USA
fDate :
8/1/1999 12:00:00 AM
Abstract :
We study a system of fuzzy relation equations with max-product composition and present an efficient solution procedure to characterize the whole solution set by finding the maximum solution as well as the complete set of minimal solutions. Instead of solving the problem combinatorially, the procedure identifies the “nonminimal” solutions and eliminates them from the set of minimal solutions
Keywords :
fuzzy set theory; matrix algebra; fuzzy relation equations; max-product composition; minimal solutions; nonminimal solutions; Connectors; Equations; Fuzzy logic; Fuzzy sets; Fuzzy systems; Guidelines; Industrial engineering; Operations research;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
