Paper Info
Title
Intuitionistic Fuzzy Rough Approximation Operators Based on Intuitionistic Fuzzy Triangle Norm
Abstract
In rough set theory, the lower and upper approximation operators defined by binary relations satisfy many interesting properties. Various generalizations of Pawlak’s rough approximations have been made in the literature over these years. This paper proposes a general framework for the study of intuitionistic fuzzy rough approximation operators based on intuitionistic fuzzy triangle norm. In the constructive approach, a pair of lower and upper induced from intuitionistic fuzzy relation are defined. Basic properties of intuitionsitic fuzzy rough approximation operators are then examined. By introducing intuitionistic fuzzy residual implication, Further properties of intuitionistic fuzzy rough approximation operators are then investigated. we propose that classical rough set and fuzzy rough are special types of intuitionistic fuzzy rough set based on intuitionistic fuzzy triangle norm.
Year
DOI
Venue
2010
10.1109/GrC.2010.182
GrC
Keywords
Field
DocType
intuitionistic fuzzy rough approximation,intuitionistic fuzzy relation,intuitionistic fuzzy triangle norm,rough set theory,upper approximation operator,rough approximation,intuitionistic fuzzy residual implication,intuitionsitic fuzzy rough approximation,classical rough set,intuitionistic fuzzy rough set,satisfiability,fuzzy sets,fuzzy set theory,rough sets,binary relation,fuzzy set,approximation theory,rough set
Fuzzy classification,Fuzzy set operations,Fuzzy mathematics,Fuzzy set,Artificial intelligence,Fuzzy number,Discrete mathematics,Algebra,Pattern recognition,Fuzzy logic,Rough set,Type-2 fuzzy sets and systems,Mathematics
Conference
Citations 
PageRank 
References 
0
0.34
4
Authors
2
Name
Order
Citations
PageRank
Renbing Lin112.05
Ji-yi Wang2178.05