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Results on Fuzzy δ - Semi Preseparated Sets and Fuzzy Semi δ - Preseparation Axioms


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1 Department of Applied Mathematics, Maharaja Bir Bikram University, Agartala, West Tripura, Pin-799004, India
     

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The aim of this paper is to introduce the concept of a new kind of sets - called fuzzy δ - semi preseparated sets and is to investigate the properties of this new kind of sets. Also the notion of fuzzy δ - semi preconnectedness is to be introduced. Some of the fundamental properties of the said connectedness is to be studied in fuzzy topological spaces. Lastly fuzzy semi δ - preseparation axioms are to be defined and some of their fundamental properties are also to be investigated in fuzzy setting.


Keywords

Fuzzy Topological Space, Fuzzy δ - Semi Preseparated Set, Fuzzy δ - Semi Preconnectedness, Fuzzy Semi δ - Pre Neighbourhood, Fuzzy Semi δ - Pre q - Neighbourhood, Fuzzy Semi δ - Preseparation Axioms.
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  • Results on Fuzzy δ - Semi Preseparated Sets and Fuzzy Semi δ - Preseparation Axioms

Abstract Views: 255  |  PDF Views: 1

Authors

Runu Dhar
Department of Applied Mathematics, Maharaja Bir Bikram University, Agartala, West Tripura, Pin-799004, India

Abstract


The aim of this paper is to introduce the concept of a new kind of sets - called fuzzy δ - semi preseparated sets and is to investigate the properties of this new kind of sets. Also the notion of fuzzy δ - semi preconnectedness is to be introduced. Some of the fundamental properties of the said connectedness is to be studied in fuzzy topological spaces. Lastly fuzzy semi δ - preseparation axioms are to be defined and some of their fundamental properties are also to be investigated in fuzzy setting.


Keywords


Fuzzy Topological Space, Fuzzy δ - Semi Preseparated Set, Fuzzy δ - Semi Preconnectedness, Fuzzy Semi δ - Pre Neighbourhood, Fuzzy Semi δ - Pre q - Neighbourhood, Fuzzy Semi δ - Preseparation Axioms.

References