Results 1 to 10 of about 32 (32)

A degree approach to relationship among fuzzy convex structures, fuzzy closure systems and fuzzy Alexandrov topologies

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
doaj   +1 more source

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
doaj   +1 more source

A new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness in L-fuzzy pretopological spaces

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.
doaj   +1 more source

On Cauchy problems for fuzzy differential equations

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 15, Page 799-805, 2004., 2004
Existence and uniqueness theorems are proved for Cauchy problems of second‐order fuzzy differential equations.
D. N. Georgiou, I. E. Kougias
wiley   +1 more source

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, Li Qingguo, Chen Shuili, Huang Huan   +3 more
doaj   +1 more source

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

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

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., Khalil O. H., Ghareeb A.   +2 more
doaj   +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

T‐neighborhood groups

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