Paper Info
Title
Lattice-valued approach to closed sets under fuzzy relations: Theory and applications
Abstract
Motivated by fuzzy control problems and by some investigations of eigen fuzzy sets, we deal with a closedness of fuzzy sets under fuzzy relations in two ways: in one sense by directly analyzing fuzzy concepts and in the other by investigating the corresponding crisp problems in the cutworthy framework. Our main task is to investigate particular fuzzy functional equations and inequations appearing in this context, which turn out to be essentially connected with fuzzy control problems. We analyze procedures and find solutions of these equations and inequations, pointing to important applications.
Year
DOI
Venue
2011
10.1016/j.camwa.2011.09.021
Computers & Mathematics with Applications
Keywords
Field
DocType
eigen fuzzy set,fuzzy set,closed set,cutworthy framework,corresponding crisp problem,main task,fuzzy control problem,particular fuzzy functional equation,important application,fuzzy concept,lattice-valued approach,fuzzy relation,fuzzy control,functional equation
Fuzzy classification,Defuzzification,Fuzzy set operations,Mathematical analysis,Fuzzy measure theory,Fuzzy mathematics,Fuzzy set,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
62
10
0898-1221
Citations 
PageRank 
References 
10
0.57
13
Authors
4
Name
Order
Citations
PageRank
Jorge Jiménez1242.99
Susana Montes2171.42
Branimir Šešelja317023.33
Andreja Tepavčević4847.83