[PDF] Top 20 Applications of *b-open Sets and **b-open Sets in Topological Spaces

... semi open in X for each open set V of Y ...pre open in X for each open set V of Y ...- open in X for each open set V of Y ...each open set V of Y . 5. b-continuous ... See full document

... fuzzy sets was introduced by Zadeh ...fuzzy sets and Coker [2] introduced the concept of intuitionistic fuzzy topological spaces and produced many interesting results and ...fuzzy b # ... See full document

... rough sets by co- verings [13]. Others [14-16] combined fuzzy sets with rough sets in a fruitful way by defining rough fuzzy sets and fuzzy rough ... See full document

... IFS in (X,τ). Then A ⊇ U where U = 〈x, (0.3,0.2), (0.5,0.7)〉 is an IFRCS in X. αint(A) = 〈x, (0.4,0.2), (0.5,0.7)〉 ⊇ U and then B ⊇ U where U = 〈x, (0.3,0.2), (0.5,0.7)〉 is an IFRCS in X. αint(B) = 〈x, ... See full document

... [4]. G. Balasubramanian and P. Sundaram, On some generalizations of fuzzy continuous functions, Fuzzy Sets and Systems 86(1) (1997), 93–100. [5]. G. Balasubramanian and V. Chandrasekar, Totally fuzzy semi ... See full document

... Sayed., and Takashi Noiri., “On Supra b-open sets and supra b-continuity on topological spaces”, European Journal of pure and applied Mathematics., Vol.3,pp.[r] ... See full document

... α + -closed g + -closed semi + -closed gsp + -closed b + -closed g *+ b-closed gb + -closed pre + -closed gα + -closed ... See full document

... a, b, c } , µ = { ∅, X, { a } , { a, b } , { a, c } , { b, c }} ...{ b, c } , there exists µ-open sets ˜ { a } and { b, c } containing a and k respectively such that a 6∈ ... See full document

... a b*g^-closed ...in b*cl(A)-A. Now, F c is a g^-open set of X such that A  F c ...is b*g^-closed set we have b*cl(A)  F c . Hence F  (b*cl(A)) c ... b*cl(A)-A. ... See full document

... Throughout this paper, (X, ), (Y, ) and (Z, ) (or simply, X, Y and Z) denote topological spaces on which no separation axioms are assumed unless explicitly stated. If A is any subset of X, then Cl (A) ... See full document

... tri topological space and introduced semi-open and pre-open sets in tri topological space and he also introduced fuzzy tri topological ...123 open set in tri ... See full document

... generalized open (briefly, #rg-open) sets in topological space and obtain some of their ...in topological spaces by using the notion of #rg-open ...#rg-closed sets ... See full document

... Let U be any non-empty open set in X . Put C = X − U . Then C is a closed subset of X and f ( X − U ) = f ( C ) = Y − f ( U ) implies f (C ) ≠ φ .Therefore, by (ii) there is a *b-closed subset D of Y such ... See full document

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

... a topological space is said to be preopen[1] if A subset A of an ideal space is said to be pre-I-open[2] if The complement of pre-I-open set is called ... See full document

... tri topological space and introduced semi and pre-open sets in tri topological space and he also introduced fuzzy tri topological ...123 open set in tri topological ... See full document

... any open subset of Z. Then g -1 (V) is open in Y,since g is continuous ...is open set in Y then f -1 ( g -1 (V)) = (gof) -1 (V) is G* - open in ... See full document

... semi open in X for each open set V of ...pre open in X for each open set V of Y. 3. * b-continuous if ( ) is * b-open in X for each open set V of ... See full document

... of b-open sets called Bc-open, this class of sets lies strictly between the classes of θ-semi open and b-open ...of sets and we investigate further ... See full document

... a topological space (X,τ), then a point p∈X is called a η-limit point of a set A ⊂X if every η-open set G⊂X containing p, contains a point of A other than ... See full document