Abstract
This paper is devoted to describe the notion of a parameterized degree of continuity for mappings between L -fuzzy soft topological spaces, where L is a complete De Morgan algebra. The degrees of openness, closedness, and being a homeomorphism for the fuzzy soft mappings are also presented. The properties and characterizations of the proposed notions are pictured. Besides, the degree of continuity for a fuzzy soft mapping is unified with the degree of compactness and connectedness in a natural way.
Highlights
E idea of fuzzy softness (“parameterized gradation”) is one of the appropriate tools for modeling of environmental and mathematical problems
The continuous mappings are worth to investigate since they preserve the several properties of the spaces endowed with topology
Motivated from this thinking, we found it reasonable to present a new theory which gives a more accurate and efficient way of transforming the characteristics between the fuzzy soft topological spaces depending on the parameters. us, as a continuation of the research studies [14,15,16], we describe the parameterized gradations of continuity, openness, and closedness for mappings between fuzzy soft topological spaces
Summary
E idea of fuzzy softness (“parameterized gradation”) is one of the appropriate tools for modeling of environmental and mathematical problems. A mapping τ: K ⟶ L(LX)E which satisfies the following certain axioms is called an L-fuzzy (E, K)-soft topology on X. E value τk(f) is interpreted as the degree of openness of an L-fuzzy soft set f with respect to the parameter k ∈ K.
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