Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1710651 | Applied Mathematics Letters | 2006 | 6 Pages |
Abstract
This work studies the problem of solving a sup-TT composite finite fuzzy relation equation, where TT is an infinitely distributive strong pseudo-t-norm. A criterion for the equation to have a solution is given. It is proved that if the equation is solvable then its solution set is determined by the greatest solution and a finite number of minimal solutions. A necessary and sufficient condition for the equation to have a unique solution is obtained. Also an algorithm for finding the solution set of the equation is presented.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Song-Chol Han, Hong-Xing Li, Jia-Yin Wang,