Results 21 to 30 of about 74 (73)
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
wiley +1 more source
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
wiley +1 more source
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
doaj +1 more source
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
wiley +1 more source
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.
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source
A Tychonoff theorem in intuitionistic fuzzy topological spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3829-3837, 2004., 2004 The purpose of this paper is to prove a Tychonoff theorem in the so‐called “intuitionistic fuzzy topological spaces.” After giving the fundamental definitions, such as the definitions of intuitionistic fuzzy set, intuitionistic fuzzy topology, intuitionistic fuzzy topological space, fuzzy continuity, fuzzy compactness, and fuzzy dicompactness, we ...
Doğan Çoker +2 more
wiley +1 more source
Semiopen and semiclosed sets in fuzzy soft topological spaces [PDF]
, 2020 . In this paper, we introduce semiopen and semiclosed fuzzy soft sets in fuzzy soft topological spaces. Various properties of these sets are studied alongwith some characterizations.
J Mahanta
core
α‐fuzzy compactness in I‐topological spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 41, Page 2609-2617, 2003., 2003 Using a gradation of openness in a (Chang fuzzy) I‐topological space, we introduce degrees of compactness that we call α‐fuzzy compactness (where α belongs to the unit interval), so extending the concept of compactness due to C. L. Chang. We obtain a Baire category theorem for α‐locally compact spaces and construct a one‐point α‐fuzzy compactification ...
Valentín Gregori, Hans-peter A. Künzi
wiley +1 more source