Soft filters and their convergence properties
... business management, etc. we cannot successfully use classical methods because of various uncertainties typical for those problems. In recent years, a number of theories have been proposed for dealing which such systems in an effective way. Some of these are theory of probability, theory of fuzzy se ...
... business management, etc. we cannot successfully use classical methods because of various uncertainties typical for those problems. In recent years, a number of theories have been proposed for dealing which such systems in an effective way. Some of these are theory of probability, theory of fuzzy se ...
The Natural Criteria in Set-Valued
... In the rest of the paper, we prove some existence theorems for our solutions defined by previous section. In this section, we investigate -type solution and -type in the next. First, remember classical results with respect to existence of solution of some minimization problems: $l$ ...
... In the rest of the paper, we prove some existence theorems for our solutions defined by previous section. In this section, we investigate -type solution and -type in the next. First, remember classical results with respect to existence of solution of some minimization problems: $l$ ...
Soft Regular Generalized Closed Sets in Soft Topological Spaces
... topological spaces such as soft open and closed sets, soft subspace, soft closure, soft neighbourhood of a point, soft separation axioms. After then many authors [4, 5, 6, 7, 8, 9] studied some of basic concepts and properties of soft topological spaces. Levine [10] introduced generalized closed and ...
... topological spaces such as soft open and closed sets, soft subspace, soft closure, soft neighbourhood of a point, soft separation axioms. After then many authors [4, 5, 6, 7, 8, 9] studied some of basic concepts and properties of soft topological spaces. Levine [10] introduced generalized closed and ...
this PDF file - International Journal of Mathematical Archive
... Ever since, the introduction of fuzzy set by Zadeh [5] and fuzzy topological space by Chang [1] several authors have tried successfully to generalize numerous pivot concepts of general topology to the fuzzy setting. We intend to introduce the concept of fuzzy supper continuity and which plays a vita ...
... Ever since, the introduction of fuzzy set by Zadeh [5] and fuzzy topological space by Chang [1] several authors have tried successfully to generalize numerous pivot concepts of general topology to the fuzzy setting. We intend to introduce the concept of fuzzy supper continuity and which plays a vita ...
Totally supra b−continuous and slightly supra b−continuous functions
... supra topology with τ . A function f : (X, τ ) −→ (Y, ρ) is called a slightly supra bcontinuous function at a point x ∈ X if for each clopen subset V in Y containing f (x), there exists a supra b-open subset U in X containing x such that f (U ) ⊆ V . The function f is said to be slightly supra b-con ...
... supra topology with τ . A function f : (X, τ ) −→ (Y, ρ) is called a slightly supra bcontinuous function at a point x ∈ X if for each clopen subset V in Y containing f (x), there exists a supra b-open subset U in X containing x such that f (U ) ⊆ V . The function f is said to be slightly supra b-con ...
Covering space
In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below. In this case, C is called a covering space and X the base space of the covering projection. The definition implies that every covering map is a local homeomorphism.Covering spaces play an important role in homotopy theory, harmonic analysis, Riemannian geometry and differential topology. In Riemannian geometry for example, ramification is a generalization of the notion of covering maps. Covering spaces are also deeply intertwined with the study of homotopy groups and, in particular, the fundamental group. An important application comes from the result that, if X is a ""sufficiently good"" topological space, there is a bijection between the collection of all isomorphism classes of connected coverings of X and the conjugacy classes of subgroups of the fundamental group of X.