Abstract

In the paper a new class of generalized supra open soft sets called supra R-open soft sets are introduced and investigated the properties of supra R-open (R-closed) soft sets and supra soft R-interior (closure). The relationships between some generalized supra open soft sets and this class are investigated and illustrated with examples. Also, new types of supra continuous soft maps called supra R-continuous (R$^{*}$-continuous) soft maps are studied depending on the concept of supra R-open soft sets.

Keywords and Phrases

Soft topological space, supra R-open soft set, supra soft R-interior, supra soft R-closure, supra R-continuous soft map, supra R$^{*}$-continuous soft map.

A.M.S. subject classification

54A99.

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