Title
On the unique solvability of fuzzy relational equations
Abstract
The solution set of a consistent system of fuzzy relational equations with max-min composition can be characterized by one maximum solution and a finite number of minimal solutions. A polynomial-time method of O(mn) complexity is proposed to determine whether such a system has a unique minimal solution and/or a unique solution, where m, n are the dimensions of the input data. The proposed method can be extended to examining a system of fuzzy relational equations with max-T composition where T is a continuous triangular norm.
Year
DOI
Venue
2011
10.1007/s10700-011-9100-y
FO & DM
Keywords
Field
DocType
Fuzzy relational equations,Minimal solutions,Unique solvability
Discrete mathematics,Mathematical optimization,Finite set,Fuzzy classification,Fuzzy logic,Fuzzy mathematics,Solution set,Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
10
2
1568-4539
Citations 
PageRank 
References 
12
0.55
10
Authors
2
Name
Order
Citations
PageRank
Pingke Li119310.03
Shu-Cherng Fang2115395.41