[PDF] Top 20 Bipolar Soft Topological Spaces

... Many problems of our lives in decision making, engineering, computer sciences and eco- nomics have various uncertainties. Therefore, traditional methods fail to solve them. Mo- tivated by that, many theories have been ... See full document

... a soft multi closed set containing(F, A)} Observe that sm-Cl(F,A) is a soft multi closed set, since it is the intersection of soft multi closed ...smallest soft multi closed set containing (F, ... See full document

... a soft set over U if and only if F is a mapping given by F : A → P(U) such that F(e) = φ if e ∉ A and F(e) ≠ φ if e ∈ A, where U is an initial universe set and E be the set of parameters, P(U) be the set of all ... See full document

... of soft sets with adequate parametrization for dealing with ...of soft topological spaces which are defined over an initial universe with a fixed set of ...of soft A-sets, soft ... See full document

... a soft topological spaces (X , τ, E) to a soft topological spaces (Y, σ, K) and study several properties of these continuous ...between soft topological ... See full document

... Fuzzy soft topology is an important and major area of mathematics and it can give many relationships between other scientific areas and mathematical ...of soft topological ...Fuzzy soft ... See full document

... of soft element of a soft set and show its natural connection with the notion of soft set and soft ...investigate soft topological spaces and formulate the definitions and ... See full document

... metric spaces. Metric space is widely used in mathematics and soft metric space is a generalization of metric ...say, soft metric spaces can be developed in a metric view with soft ... See full document

... ˇSostak introduced a new definition of fuzzy topology in 1985 [41], which we will call”fuzzy topology on ˇSostak sense.” According to ˇSostak [41], these definitions, a fuzzy topology is a crisp subfamily of family of ... See full document

... supra soft locally closed sets in supra soft topological spaces and study their relationships with each other and other supra open soft sets [10] in detail, supported by ...supra ... See full document

... on topological ordered ...of topological ordered spaces, we observe that this topic takes two directions, the first one is formulated by generalizing a partial order relation (see, for example, [25], ... See full document

... supra soft open sets need not supra soft open ...a soft open set and a supra soft open set need not be supra soft open ...supra soft topological space over X . A ... See full document

... of soft sets was first introduced by Molodtsov [1] in 1999 who began to develop the basics of corresponding theory as a new approach to modeling ...the soft theory in several directions such as smoothness ... See full document

... fuzzy soft paraopen (resp. fuzzy soft open) set in (Z, E, ...fuzzy soft paraopen set is a fuzzy soft open set, K E is a fuzzy soft open set in (Z, E, η) and G is fuzzy soft ... See full document

... two soft sets, subset and superset of Soft set, complement of a soft set, null soft set and absolute soft set with examples were well defined by Maji ...of soft set ...of ... See full document

... Therefore (U, E) ⊆ (X, E)\(F, E) then (F, E) ⊆ (X, E)\(U, E). Since (U, E) is soft regular semi open set by result 2.12(ii) (X, E)\(U, E) is also soft regular semi open set in (X, τ, E). Since (F, E) is ... See full document

... Soft topologyserve as a tool for solving uncertainity problems. Apart from theoritical part there are many application oriented problems. Weare concentrating on applicationsof soft topology in computer for ... See full document

... ideal topological spaces can be found in some classical texts of Kura- towski [16, 17] and Vaidyanathaswamy ...ideal topological spaces can be found in various branches of mathematics, like ... See full document

... supra topological space, subsequently El- sheikh et ...supra soft topological spaces and they defined basic notions of supra soft topological spaces, which is extended in ... See full document

... of soft topological spaces. They defined soft topology on the collection τ of soft sets over ...of soft topological spaces such as soft open and soft ... See full document