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Home Volume 17, Issue Proceedings Article
Research Article

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

K
K. Jayapandian Post Graduate and Research Department of Mathematics, J. J. College of Arts and Science (Autonomous), Pudukkottai - 622422, Tamil Nadu, INDIA
A
A. Vadivel Department of Mathematics, Annamalai University, Annamalai Nagar - 608002, Tamil Nadu, INDIA
O
O. Uma Maheshwari Post Graduate and Research Department of Mathematics, J. J. College of Arts and Science (Autonomous), Pudukkottai - 622422, Tamil Nadu, INDIA
J
J. Sathiyaraj Post Graduate and Research Department of Mathematics, Government Arts college(Autonomous), Karur - 639005, Tamil Nadu, INDIA
Volume 17, Issue Proceedings Pages 01-12 November 30, 2021 390 downloads
Article overview

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.

AMS Subject Classification

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

Reference information

How to Cite

K. Jayapandian, A. Vadivel, O. Uma Maheshwari, J. Sathiyaraj (2021). $(\vartheta,\varrho)$-FUZZY $Z_{\alpha}$ OPEN SETS IN DOUBLE FUZZY TOPOLOGICAL SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 17(Proceedings), 01-12.
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