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A New Approach to vague soft Bi-Topological Spaces

Computer Modeling in Engineering & Sciences 2022年第4期131卷 411-428页

作者： Arif Mehmood Saleem Abdullah Choonkil Park Department of Mathematics&Statistics Riphah International UniversityIslamabad44000Pakistan Department of Mathematics AbdulWali Khan UniversityMardan23200Pakistan Department of Mathematics Research Institute for Natural SciencesHanyang UniversitySeoul04763Korea

Fuzzy soft topology considers only membership *** has nothing to do with the non-membership *** an extension was needed in this *** soft topology addresses bothmembership and non-membership values *** vague soft topology(single structure)is unable to address some complex *** an extension to vague soft bi-topology(double structure)was needed in this *** make this situation more meaningful,a new concept of vague soft bi-topological space is introduced and its structural characteristics are attempted with a new *** this article,new concept of vague soft bi-topological space(VSBTS)is initiated and its structural behaviors are *** approach is based on generalized vague soft open sets,known as vague softβopen *** ample of examples are given to understand the *** the non-validity of some results,counter examples are provided to pay the ***-wise vague softβopen and pair-wise vague softβclose sets are alsoaddressedwith examples in(VSBTS).vague soft separation axioms are initiatedin(VSBTS)concerning soft points of the *** separation axioms are also addressed relative to soft points of the *** soft bi-topological properties are studied with the application of vague softβopen sets with respect to soft points of the *** characterization of vague softβclose as well as vague softβopen sets,characteristics of Bolzano Weirstrass property,vague soft compactness and its marriage with sequences,interconnection between sequential compactness and countable compactness in(VSBTS)with respect to softβopen sets are addressed.

关键词： vague soft set vague soft point vague soft bi-topological space vague softβ-open set and vague softβ-separation axioms

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