Results 11 to 20 of about 272 (63)
Some fuzzy SP‐topological properties
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 28, Page 1487-1501, 2004., 2004 We introduce r‐fuzzy strongly preopen and r‐fuzzy strongly preclosed sets in fuzzy topological space in view of the definition of šostak (1985). We investigate some properties of them. Moreover, the concepts of fuzzy SP‐continuous, fuzzy SP‐irresolute continuous, fuzzy SP‐irresolute open (closed) mappings, and a fuzzy SP‐irresolute homeomorphism are ...
S. E. Abbas
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Degree of (L, M)-Fuzzy Semi-Precontinuous and (L, M)-Fuzzy Semi-Preirresolute Functions
Demonstratio Mathematica, 2018 The aim of this paper is to present the degree of semi-preopenness, semi-precontinuity, and semi-preirresoluteness for functions in (L, M)-fuzzy pretopology with the help of implication operation and (L, M)-fuzzy semi-preopen operator introduced by ...
Al-Omeri Wadei F. +2 more
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N‐topo nilpotency in fuzzy neighborhood rings
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 13, Page 679-696, 2004., 2004 We introduce the notion of N‐topo nilpotent fuzzy set in a fuzzy neighborhood ring and develop some fundamental results. Here we show that a fuzzy neighborhood ring is locally inversely bounded if and only if for all 0 < α < 1, the α‐level topological rings are locally inversely bounded. This leads us to prove a characterization theorem which says that
T. M. G. Ahsanullah, Fawzi Al-Thukair
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Scott convergence and fuzzy Scott topology on L-posets
Open Mathematics, 2017 We firstly generalize the fuzzy way-below relation on an L-poset, and consider its continuity by means of this relation. After that, we introduce a kind of stratified L-generalized convergence structure on an L-poset.
Liu Hongping, Chen Ling
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 14, Page 703-719, 2004., 2004 We generalize min‐neighborhood groups to arbitrary T‐neighborhood groups, where T is a continuous triangular norm. In particular, we point out that our results accommodate the previous theory on min‐neighborhood groups due to T. M. G. Ahsanullah. We show that every T‐neighborhood group is T‐uniformizable, therefore, T‐completely regular.
T. M. G. Ahsanullah, Fawzi Al-Thukair
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Intuitionistic fuzzy proximity spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 49, Page 2617-2628, 2004., 2004 We introduce the concept of the intuitionistic fuzzy proximity as a generalization of fuzzy proximity, and investigate its properties. Also we investigate the relationship among intuitionistic fuzzy proximity and fuzzy proximity, and intuitionistic fuzzy topology.
Seok Jong Lee, Eun Pyo Lee
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Regularity of fuzzy convergence spaces
Open Mathematics, 2018 (Fuzzy) convergence spaces are extensions of (fuzzy) topological spaces. ⊤-convergence spaces are one of important fuzzy convergence spaces. In this paper, we present an extending dual Fischer diagonal condition, and making use of this we discuss a ...
Li Lingqiang, Jin Qiu, Yao Bingxue
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Examples of non-strong fuzzy metrics [PDF]
, 2011 Answering a recent question posed by Gregori et al. [On a class of completable fuzzy metric spaces, Fuzzy Sets and Systems 161 (2010), 2193-2205] we present two examples of non-strong fuzzy metrics (in the sense of George and Veeramani).
George +3 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 66, Page 3587-3602, 2004., 2004 We introduce a new concept of smooth topological subspaces, which coincides with the usual definition in the case where μ = χY, Y ⊂ X. Also, we introduce some concepts such as q‐nbd systems, continuity, separation axioms, compactness, and connectedness in this sense.
S. E. Abbas
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Some Topological and Algebraic Properties of α-level Subsets’ Topology of a Fuzzy Subset
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The theory of fuzzy sets, since its foundation, has advanced in a wide range of means and in many fields. One of the areas to which fuzzy set theory has been applied extensively is mathematical programming.
Onasanya B. O., Hoskova-Mayerova S.
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