The Journal of the Indian Mathematical Society

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Topological Structure formed by Intuitionistic Fuzzy Rough Relations


Affiliations
1 Department of Mathematics, Tripura University, Suryamaninagar, Agartala-799022, India
2 Department of Mathematics, ICV-College, Belonia-799155, Tripura, India
     

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The aim of this paper is to construct topological structure by intuitionistic fuzzy rough relations (in short IFR-relation or IFRr). The concept of IFRr-topologies is introduced and their basic properties are investigated. The notion of IFRr-open sets, IFRr-basis, IFRr-sub basis, IFRr-neighbourhoods and neighbourhood systems, interior of an IFR-relation are introduced and their basic properties are also investigated. We also introduce the concept of IFRr-topological subspaces and some basic properties of this concept are studied.

Keywords

IFR-Relations, IFRr-Topologies, IFRr-open Sets, IFRr-basis and IFRr-Sub Basis.
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  • Topological Structure formed by Intuitionistic Fuzzy Rough Relations

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Authors

Anjan Mukherjee
Department of Mathematics, Tripura University, Suryamaninagar, Agartala-799022, India
Ajoy Kanti Das
Department of Mathematics, ICV-College, Belonia-799155, Tripura, India

Abstract


The aim of this paper is to construct topological structure by intuitionistic fuzzy rough relations (in short IFR-relation or IFRr). The concept of IFRr-topologies is introduced and their basic properties are investigated. The notion of IFRr-open sets, IFRr-basis, IFRr-sub basis, IFRr-neighbourhoods and neighbourhood systems, interior of an IFR-relation are introduced and their basic properties are also investigated. We also introduce the concept of IFRr-topological subspaces and some basic properties of this concept are studied.

Keywords


IFR-Relations, IFRr-Topologies, IFRr-open Sets, IFRr-basis and IFRr-Sub Basis.

References