Title
Unattainable solutions of a fuzzy relation equation
Abstract
In a fuzzy relation equation, the properties of the solution set have been investigated especially when the basic spaces are all finite sets. However, when the basic spaces are infinite, a few properties are known. In this paper, we use the concepts of attainability and unattainability of a solution to clarify some properties of the solution set and show the condition for existence of a partially attainable solution and an unattainable one. (C) 1998 Elsevier Science B.V. All rights reserved.
Year
DOI
Venue
1998
10.1016/S0165-0114(97)00020-1
Fuzzy Sets and Systems
Keywords
Field
DocType
relation,attainable solution,unattainable solution
Discrete mathematics,Finite set,Fuzzy logic,Fuzzy set,Solution set,Mathematics
Journal
Volume
Issue
ISSN
99
2
0165-0114
Citations 
PageRank 
References 
18
1.55
2
Authors
3
Name
Order
Citations
PageRank
Hideyuki Imai110325.08
Ken Kikuchi2181.55
Masaaki Miyakoshi39920.27