On some weaker hesitant fuzzy open sets

Abstract

The purpose of this paper is to define and study some new types of hesitant fuzzy open sets namely, hesitant fuzzy $\alpha$-open, hesitant fuzzy preopen, hesitant fuzzy semiopen, hesitant fuzzy b-open and hesitant fuzzy $\beta$-open in hesitant fuzzy topological space. Some properties and the relationships between these hesitant fuzzy sets are investigated. Furthermore, some relationships between them in hesitant fuzzy subspace are introduced.

Keywords

• hesitant fuzzy sets
• hesitant fuzzy topology
• hesitant fuzzy interior
• hesitant fuzzy closure
• hesitant fuzzy subspaces

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