Paper Info
Title
Randomly generating test problems for fuzzy relational equations
Abstract
Fuzzy relational equations play an important role in fuzzy set theory and fuzzy logic systems. To compare and evaluate the accuracy and efficiency of various solution methods proposed for solving systems of fuzzy relational equations as well as the associated optimization problems, a test problem random generator for systems of fuzzy relational equations is needed. In this paper, procedures for generating test problems of fuzzy relational equations with the sup- $${\mathcal{T}}$$ composition are proposed for the cases of sup- $${\mathcal{T}_M}$$ , sup- $${\mathcal{T}_P}$$ , and sup- $${\mathcal{T}_L }$$ compositions. It is shown that the test problems generated by the proposed procedures are consistent. Some properties are discussed to show that the proposed procedures randomly generate systems of fuzzy relational equations with various number of minimal solutions. Numerical examples are included to illustrate the proposed procedures.
Year
DOI
Venue
2012
10.1007/s10700-011-9115-4
FO & DM
Keywords
Field
DocType
Fuzzy relational equations,Triangular norms,Random generator
Discrete mathematics,Fuzzy logic system,Fuzzy logic,Fuzzy set,Optimization problem,Mathematics
Journal
Volume
Issue
ISSN
11
1
1568-4539
Citations 
PageRank 
References 
4
0.47
17
Authors
2
Name
Order
Citations
PageRank
Cheng-Feng Hu1394.89
Shu-Cherng Fang2115395.41