Neutrosophic soft δ-topology and neutrosophic soft δ-compactness | Zendy

Ahu Açıkgöz | Zendy; Ferhat Esenbel | Zendy

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Neutrosophic soft δ-topology and neutrosophic soft δ-compactness

Author(s) -

Ahu Açıkgöz,

Ferhat Esenbel

Publication year - 2020

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2010441a

Subject(s) - soft set , closure (psychology) , mathematics , compact space , topological space , topology (electrical circuits) , pure mathematics , computer science , artificial intelligence , combinatorics , fuzzy logic , economics , market economy

We introduce the concepts of neutrosophic soft ?-interior, neutrosophic soft quasi-coincidence, neutrosophic soft q-neighbourhood, neutrosophic soft regular open set, neutrosophic soft ?-closure, neutrosophic soft ?-closure and neutrosophic soft semi open set. It is also shown that the set of all neutrosophic soft ?-open sets is a neutrosophic soft topology, which is called the neutrosophic soft ?-topology. We obtain equivalent forms of neutrosophic soft ?-continuity. Moreover, the notions of neutrosophic soft ?-compactness and neutrosophic soft locally ?-compactness are defined and their basic properties under neutrosophic soft ?-continuous mappings are investigated.

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