FUZZY GAMMA SEMI-PREOPEN AND FUZZY GAMMA SEMI PRECLOSED SETS IN FUZZY BITOPOLOGICAL SPACES

Authors

  • Nagoor Gani P.G. & Research Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli, Tamil Nadu 620020, India.
  • J Rameeza Bhanu P.G. & Research Department of Mathematics, Bishop Heber College (Autonomous), Tiruchirappalli, Tamil Nadu 620017, India.

DOI:

https://doi.org/10.48165/

Keywords:

Fuzzy bitopological spaces, (δi, δj) F-γ-open, (δi, δj) F-γ-semi-preopen, (δi, δj) F-γ- semi-preclosed, (δi, δj) F-γ-semi-pre neighbourhood, (δi, δj) F-γ-semi-pre q- neighbourhood, (δi,δj) F-γ-semi-preinterior, (δi,δj) F-γ-semi-preclosure

Abstract

This article proposes the concept of fuzzy gamma semi-preopen (respectively, fuzzy gamma semi-preclosed)  sets in fuzzy bitopological spaces, which is weaker than the concept of fuzzy strongly semiopen (respectively,  fuzzy strongly semiclosed) set, fuzzy semi-preopen (respectively, fuzzy semi-preclosed) set, fuzzy semiopen  (respectively, fuzzy semiclosed) set, fuzzy preopen (respectively, fuzzy preclosed) set, fuzzy gamma open  (respectively, fuzzy gamma closed) set, fuzzy gamma semiopen (respectively, fuzzy gamma semiclosed) set  and fuzzy gamma preopen (respectively, fuzzy gamma preclosed) set in fuzzy bitopological spaces. This  paper examines the aspects and attributes of fuzzy gamma semi-preopen (respectively, fuzzy gamma semi preclosed) sets with examples and investigates the relationship between these concepts and relevant concepts  in fuzzy bitopological spaces. This article introduces the definition of fuzzy gamma semi-pre neighbourhood  and fuzzy gamma semi-pre q- neighbourhood. Further, it characterizes fuzzy gamma semi-preinterior and  fuzzy gamma semi-preclosure and establishes their fundamental properties.  

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Published

2019-07-15

Issue

Vol. 38 No. 1 (2019): Bulletin of Pure and Applied Sciences (Math & Stat) (Jan-Jun) 2019

Section

Articles

How to Cite

Gani, N., & Bhanu, J.R. (2019). FUZZY GAMMA SEMI-PREOPEN AND FUZZY GAMMA SEMI PRECLOSED SETS IN FUZZY BITOPOLOGICAL SPACES. Bulletin of Pure & Applied Sciences- Mathematics and Statistics, 38(1), 297–305. https://doi.org/10.48165/
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