Results 11 to 20 of about 16,005 (265)
Fuzzy Counterparts of Fischer Diagonal Condition in ⊤-Convergence Spaces
Fischer diagonal condition plays an important role in convergence space since it precisely ensures a convergence space to be a topological space. Generally, Fischer diagonal condition can be represented equivalently both by Kowalsky compression operator ...
Qiu Jin, Lingqiang Li, Jing Jiang
doaj +1 more source
p-Regularity and p-Regular Modification in ⊤-Convergence Spaces
Fuzzy convergence spaces are extensions of convergence spaces. ⊤-convergence spaces are important fuzzy convergence spaces. In this paper, p-regularity (a relative regularity) in ⊤-convergence spaces is discussed by two equivalent approaches. In addition,
Qiu Jin, Lingqiang Li, Guangming Lang
doaj +1 more source
$\mathcal{I}$-convergence in Fuzzy Cone Normed Spaces [PDF]
The aim of this paper is to define and study the concept of $\mathcal{I}$-convergence in fuzzy cone normed space which is a generalization of R. Saadati and S. M. Vaezpour type fuzzy normal space.
Aysegul Caksu Guler
doaj +1 more source
Filter Convergence and Fuzzy Topology [PDF]
After introducing many different types of prefilter convergence, we introduce an universal method to define various notions of compactness using cluster point and convergence of a prefilter and to prove the Tychonoff theorem using characterizations of ultra(maximal) prefilters.
Kyung Chan Min +2 more
openaire +2 more sources
Convergence Classes of L-Filters in L,M-Fuzzy Topological Spaces
An L,M-fuzzy topological convergence structure on a set X is a mapping which defines a degree in M for any L-filter (of crisp degree) on X to be convergent to a molecule in LX.
Ting Yang +4 more
doaj +1 more source
A NEW APPROACH TO EGOROV’S THEOREM BY MEANS OF 𝛼𝛽-STATISTICAL IDEAL CONVERGENCE
In this work, we introduce the 𝛼𝛽-statistical pointwise ideal convergence, 𝛼𝛽-statistical uniform ideal convergence, and 𝛼𝛽-equi-statistical ideal convergence for sequences of fuzzy-valued functions.
Sonali Sharma, Kuldip Raj
doaj +1 more source
Regularity of fuzzy convergence spaces
(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
On a fuzzy metric space and fuzzy convergence
In this paper we introduce a new type of fuzzy metric space and obtain several properties of it. Also some topological properties and boundedness are investigated. The notion of convergence of fuzzy sequences together with the notion of fuzzy cauchy sequences in a fuzzy metric space are discussed and some basic results related to these notions are ...
Alias B. Khalaf, Maha W. Abdulqader
openaire +3 more sources
We define weighted geometric mean method of convergence for sequences in [Formula: see text] by using multiplicative calculus and obtain necessary and sufficient conditions under which convergence of sequences in [Formula: see text] follows from ...
Enes Yavuz
doaj +1 more source
Almost uniformly convergence on MV-algebra of intuitionistic fuzzy sets [PDF]
The aim of this contribution is to formulate some definitions of almost uniformly convergence for a sequence of observables in the MV-algebra of the intuitionistic fuzzy sets.
Katarína Čunderlíková
doaj +1 more source

