[PDF] Top 20 6. On the Level Spaces of Fuzzy Topological Spaces

... Now 𝑈 = 𝛼(𝐺), 𝑉 = 𝛼(𝐻 ) for some 𝐺, 𝐻 ∈ 𝑇 . Since 𝑈, 𝑉 are non-empty sets it follows that 𝐺 and 𝐻 are non-empty fuzzy sets of order 𝛼. Further {𝐺, 𝐻} is an 𝛼-shading of 𝑋: For if 𝑥 ∈ 𝑋 then 𝑥 ∈ 𝑈 or 𝑥 ∈ 𝑉 and ... See full document

... introduced fuzzy topological ...in topological spaces to fuzzy topological ...of fuzzy topological spaces. Fuzzy semi continuity, fuzzy almost ... 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 ...of fuzzy sets. In 1968 Change C.L. [ 2] ... See full document

... A topological space (X ,τ) is called LH (locally homogeneous) at x in X provided that there exists an open set U in X containing x such that for any y ∈ U there is h ∈ HOM(X,τ) such that h(x) = ...A ... See full document

... Definition 2.6 (Bai [4]) . Let (X,δ) be an L-fts and g ∈ L X . We call g semi- precompact if and only if every p-level semi-preopen cover of g has a finite p-level subcover, where p ∈ pr(L). If g is the ... See full document

... the fuzzy sets A, B, C, D and E be defined as ...the fuzzy set E is gb-closed fuzzy set in Y, but f -1 (E) = C is not gb-closed fuzzy set in ... See full document

... of fuzzy set was introduced by Zadeh in his classic paper ...of fuzzy topological spaces was introduced and developed by ...intuitionistic fuzzy sets, Çoker [6] defined the ... See full document

... Abstract. In this paper, the definition of S-Hausdorff space introduced by Srivastava, R., Lal, S.N. and Srivastava, A.K. [6] is extended to second order fuzzy topological spaces in two ... See full document

... in fuzzy topological ...a fuzzy topological space by means of corresponding properties of –N–topological space associated with the fuzzy topological ... See full document

... Now we show that the regularity axiom of Liu and Luo [6] is equivalent to the L- regularity for any complete L in which primes are order generating. We recall that p ∈ L is called prime whenever α∧ β ≤ p implies α ... See full document

... intuitionistic fuzzy topological spaces, fuzzy continuity , fuzzy compactness and some other related ...intuitionistic fuzzy soft separation axioms and established several ... See full document

... of fuzzy sets and fuzzy set operations was first introduced by Zadeh in his classical papers [9] in the year 1965 describing fuzziness ...on Fuzzy topological spaces [2,3,7] as a ... See full document

... and fuzzy topology 3, in the sensethat not only the objectsare fuzzified, but also the ...al. 6 have redefined the same concept under the name gradation of ...of topological-type structures on ... See full document

... 2. fuzzy almost e * -open map if f ( λ ) is a r - f e * o set in Y for each r - fro set λ in X ...3. fuzzy almost e * -closed map if f ( λ ) is a r - f e * c set in Y for each r - frc set λ in X ...a ... See full document

... The topological structures of set theory dealing with uncertainties were first studied by Chang in ...of fuzzy topology and also studied some of its basic ...of fuzzy soft set which is a combination ... See full document

... We would like to draw the attention of the reader to the fact that in the present literature fuzzy topologies in Chang’s sense are called I-topologies and gradations of openness are called I -fuzzy ... See full document

... In Section 2 of this paper we develop the concept of fuzzy O-closure operators and characterize fuzzy O-closures of fuzzy sets in a fuzzy topological space in different ways.. In literat[r] ... See full document

... tic fuzzy topological ...intuitionistic fuzzy set, intuitionistic fuzzy topology, intuitionistic fuzzy topological space, fuzzy continuity, fuzzy compactness, and ... See full document

... The idea of intuitionistic fuzzy set was first published by Krassimir Atanassov [2] and many works by the same author appeared in the literature see Atanassov [2,3] Later this concept is[r] ... See full document

... of fuzzy sets and fuzzy set operations were first introduced by Zadeh ...of fuzzy sets such as fuzzy topological spaces, similarity relations and fuzzy orderings, ... See full document