Paper Info
Title
Fuzzy relational inequations and equations in the framework of control problems
Abstract
The paper deals with fuzzy relational inequations and equations connected with closed fuzzy sets under a fixed fuzzy relation over the same domain. Such formulas arise in the framework of control problems. We show that fuzzy sets being solutions of these inequations and corresponding equations form a descending sequence with particular lower bounds which are also analyzed. Our approach is based on complete lattices as structures of membership values, which makes this investigation more general then the classical, real-interval valued approach.
Year
DOI
Venue
2011
10.1007/978-3-642-22152-1_51
ECSQARU
Keywords
Field
DocType
complete lattice,fuzzy set,fuzzy relational inequations,paper deal,membership value,corresponding equation,fixed fuzzy relation,particular lower bound,control problem,closed fuzzy set,fuzzy control
Discrete mathematics,Defuzzification,Fuzzy classification,Fuzzy set operations,Fuzzy logic,Fuzzy set,Type-2 fuzzy sets and systems,Fuzzy number,Membership function,Mathematics
Conference
Citations 
PageRank 
References 
3
0.43
10
Authors
4
Name
Order
Citations
PageRank
Jorge Jiménez1242.99
Susana Montes2171.42
Branimir Šešelja317023.33
Andreja Tepavčević4847.83