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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 62

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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