Open AccessJournal Article
On Intuitionistic Fuzzy Rough Sets
TLDR
The concept of intuitionistic fuzzy rough topology in an approximation space based on an intuitionism fuzzy equivalence relation is initiated and some properties are characterized for this topology.Abstract:
The extension of rough set model is an important research direction in rough set theory. The aim of this paper is to derive a new extension of classical notion of set theory. We initiate the concept of intuitionistic fuzzy rough topology in an approximation space based on an intuitionistic fuzzy equivalence relation. Furthermore some properties are characterized for this topology.read more
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References
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Journal ArticleDOI
Intuitionistic fuzzy sets
TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Journal ArticleDOI
An introduction to intuitionistic fuzzy topological spaces
TL;DR: The basic concepts of the so-called “intuitionistic fuzzy topological spaces” are constructed, the definitions of fuzzy continuity, fuzzy compactness, fuzzy connectedness and fuzzy Hausdorff space are introduced, and several preservation properties and some characterizations concerning fuzzy compactity and fuzzyconnectedness are obtained.
Journal ArticleDOI
Rough set theory for topological spaces
TL;DR: The notion of topological membership functions is introduced that integrates the concept of rough and fuzzy sets that opens up the way for applying rich amount ofTopological facts and methods in the process of granular computing.
Journal ArticleDOI
Structures on intuitionistic fuzzy relations
Humberto Bustince,P. Burillo +1 more
TL;DR: The structures of the intuitionistic fuzzy relations are studied and certain structures of intuitionistic relations are characterized according to the structures of two concrete fuzzy relations.
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