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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2019, Volume & Issue : BPAS-Maths & Stat 38E(1), JAN-JUN 2019
Page No. : 297-305, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2019.00029.8 (Received on 29.02.2019 Revised on 22.05.2019 Accepted on 03.06.2019)

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

A. Nagoor Gani1,*, J. Rameeza Bhanu2
Author’s Affiliation : 1P.G. & Research Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli, Tamil Nadu 620020, India. 2P.G. & Research Department of Mathematics, Bishop Heber College (Autonomous), Tiruchirappalli, Tamil Nadu 620017, India.

Corresponding Author : A.Nagoor Gani, P.G. & Research Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli, Tamil Nadu 620020, India,
E-Mail:-[email protected]


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. 

2010 Mathematics Subject Classification:54A40, 03E72.

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
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