Gradation of Continuity for Fuzzy Soft Mappings | Zendy

Vildan Çetkin | Zendy

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Gradation of Continuity for Fuzzy Soft Mappings

Author(s) -

Vildan Çetkin

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/2691753

Subject(s) - mathematics , homeomorphism (graph theory) , social connectedness , degree (music) , fuzzy logic , parameterized complexity , discrete mathematics , algebra over a field , pure mathematics , combinatorics , artificial intelligence , computer science , psychology , physics , acoustics , psychotherapist

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.

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