$(\vartheta,\varrho)$-FUZZY $Z_{\alpha}$ OPEN SETS IN DOUBLE FUZZY TOPOLOGICAL SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 238

Volume : 17 , Issue : Proceedings
DOI:
Author :
K. Jayapandian (Post Graduate and Research Department of Mathematics, J. J. College of Arts and Science (Autonomous), Pudukkottai - 622422, Tamil Nadu, INDIA)
A. Vadivel (Department of Mathematics, Annamalai University, Annamalai Nagar - 608002, Tamil Nadu, INDIA)
O. Uma Maheshwari (Post Graduate and Research Department of Mathematics, J. J. College of Arts and Science (Autonomous), Pudukkottai - 622422, Tamil Nadu, INDIA)
J. Sathiyaraj (Post Graduate and Research Department of Mathematics, Government Arts college(Autonomous), Karur - 639005, Tamil Nadu, INDIA)

Abstract

In this paper we introduce $(\vartheta,\varrho)$- fuzzy $Z_{\alpha}$-open, $(\vartheta,\varrho)$-fuzzy $Z_{\alpha}$-closed sets, $(\vartheta,\varrho)$- fuzzy $Z_{\alpha}$-clopen sets and study some of their properties in double fuzzy topological spaces.

Keywords and Phrases

$(\vartheta,\varrho)$- fuzzy $Z_{\alpha}$-open, $(\vartheta,\varrho)$-fuzzy $Z_{\alpha}$ closed sets, $(\vartheta,\varrho)$- fuzzy $Z_{\alpha}$-clopen sets, $(\vartheta,\varrho)$-fuzzy $Z_{\alpha}$-interior, $(\vartheta,\varrho)$-fuzzy $Z_{\alpha}$-closure.

A.M.S. subject classification

03E72, 54A05, 54A40, 54C05.

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