Foundational propositions of hesitant fuzzy soft $\beta$-covering approximation spaces

arXiv:2403.05290v1 Announce Type: new
Abstract: Soft set theory serves as a mathematical framework for handling uncertain information, and hesitant fuzzy sets find extensive application in scenarios involving uncertainty and hesitation. Hesitant fuzzy sets exhibit diverse membership degrees, giving rise to various forms of inclusion relationships among them. This article introduces the notions of hesitant fuzzy soft $\beta$-coverings and hesitant fuzzy soft $\beta$-neighborhoods, which are formulated based on distinct forms of inclusion relationships among hesitancy fuzzy sets. Subsequently, several associated properties …

abstract application approximation article arxiv beta cs.lg cs.lo diverse forms framework giving inclusion information relationships set spaces them theory type uncertain uncertainty