Results 1 to 10 of about 288 (84)
Open Mathematics, 2019 This paper presents a new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness based on L-fuzzy α-open operators introduced by Nannan and Ruiying [1] and implication operation. The proposed representation extends the properties
Ghareeb A., Al-Saadi H. S., Khalil O. H.
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Open Mathematics, 2019 In this paper, by means of the implication operator → on a completely distributive lattice M, we define the approximate degrees of M-fuzzifying convex structures, M-fuzzifying closure systems and M-fuzzifying Alexandrov topologies to interpret the ...
Wang Lan, Wu Xiu-Yun, Xiu Zhen-Yu
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L-topological-convex spaces generated by L-convex bases
Open Mathematics, 2019 In this paper, axiomatic definitions of both L-convex bases and L-convex subbases are introduced and their relations with L-convex spaces are studied. Based on this, the notion of L-topological-convex space is introduced as a triple (X, 𝓣, 𝓒), where X is
Liao Chun-Yan, Wu Xiu-Yun
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The fuzzy metric space based on fuzzy measure
Open Mathematics, 2016 In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space.
Xie Jialiang +3 more
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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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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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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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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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On I-convergence of nets of functions in fuzzy metric spaces
Open MathematicsIn this paper, we introduce ideal versions of semi-α convergence, semi-exhaustiveness and semi uniform convergence of nets of functions between two fuzzy metric spaces, and obtain some properties of them.
Zhong Lingsheng +2 more
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On soft parametric somewhat-open sets and applications via soft topologies. [PDF]
Heliyon, 2023 Al-Shami TM, Mhemdi A.
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