Topological Structure of Vague Soft Sets

We introduce vague soft topological spaces which are defined over an initial universe with a fixed set of parameters. The notions of vague soft open sets, vague soft closed sets, vague soft interior, vague soft closure, and vague soft boundary are introduced and their basic properties and relations...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.639-646-766
Main Authors: Wang, Chang, Li, Yaya
Format: Article
Language:English
Subjects:
Algebraic topology
Decision making
Fuzzy logic
Fuzzy sets
Mathematical research
Set theory
Topology
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Summary:We introduce vague soft topological spaces which are defined over an initial universe with a fixed set of parameters. The notions of vague soft open sets, vague soft closed sets, vague soft interior, vague soft closure, and vague soft boundary are introduced and their basic properties and relations are investigated. Furthermore, with the help of examples they established that some properties of topological spaces and soft topological spaces do not hold in vague soft topological spaces. Vague soft connectedness and vague soft compactness are also studied.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/504021