Paper Info
Title
Properties of the solution set of a fuzzy relation equation from the viewpoint of attainability
Abstract
In a fuzzy relation equation, many properties of the solution set are known, especially when the basic spaces are all finite sets. However, when the basic spaces are infinite, only a few properties are known. In this paper, we introduce a new binary relation that is weaker than the ordinary one defined on fuzzy sets, and we show that an unattainable solution is partly characterized by the proposed binary relation.
Year
DOI
Venue
2002
10.1007/s005000100145
Soft Comput.
Keywords
Field
DocType
binary relation,fuzzy set
Applied mathematics,Mathematical optimization,Equivalence relation,Covering relation,Binary relation,Mathematical analysis,Fuzzy set,Dependence relation,Asymmetric relation,Fuzzy number,Mathematics,Inverse relation
Journal
Volume
Issue
Citations 
6
2
2
PageRank 
References 
Authors
0.51
0
3
Name
Order
Citations
PageRank
Hideyuki Imai110325.08
Masaaki Miyakoshi29920.27
Yoshiharu Sato371.29