Results 41 to 50 of about 1,978,710 (243)

Characterization of convergence in fuzzy topological spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
In a fuzzy topology on a set X, the limit of a prefilter (i.e. a filter in the lattice [0,1]X) is calculated from the fuzzy closure. In this way convergence is derived from a fuzzy topology.
E. Lowen, R. Lowen
doaj   +1 more source

The Operators' Theorems on Fuzzy Topological Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
Three types of fuzzy topologies defined on fuzzy normed linear spaces are considered in this paper. First, the relationshipbetween fuzzy continuity of linear operators and fuzzy boundedness is investigated.
Morteza Saheli   +2 more
doaj   +1 more source

On Metrization of the Topologies Induced by Fuzzy Metrics

open access: yesJournal of Mathematics, 2020
In this paper, we focus on finding the metric functions in a fuzzy metric space. After introducing the concept of a stratified function in a fuzzy metric space, we prove that the topology generated by the family of stratified functions coincides with the
Jianrong Wu, Hao Yang
doaj   +1 more source

The Wijsman topology of a fuzzy metric space [PDF]

open access: yes, 2016
[EN] We introduce and study the notions of lower Wijsman topology, upper Wijsman topology and Wijsman topology of a fuzzy metric space in the sense of Kramosil and Michalek. In particular, quasi-uniformizability, uniformizability, quasi-metrizability and
Romaguera Bonilla, Salvador   +3 more
core   +1 more source

Fuzzy Granule Manifold Alignment Preserving Local Topology

open access: yesIEEE Access, 2020
Granular computing has the advantage of discovering complex data knowledge, and manifold alignment has proven of great value in a lot of areas of machine learning.
Wei Li   +6 more
doaj   +1 more source

Fuzzy Soft Matrix Topology and Fuzzy Soft Matrix Topology on A ⃑ [PDF]

open access: yes, 2015
In this search we define the concept  fe - set by using the concept soft element , introduce an operations on fe - sets to generate a fuzzy soft topology , study fuzzy soft matrix  associated to  fe - set , study operations on  fuzzy ...
Hamid Mahmood, Majd   +1 more
core   +1 more source

A Duality Relationship Between Fuzzy Partial Metrics and Fuzzy Quasi-Metrics

open access: yesMathematics, 2020
In 1994, Matthews introduced the notion of partial metric and established a duality relationship between partial metrics and quasi-metrics defined on a set X.
Valentín Gregori   +2 more
doaj   +1 more source

On the method of neighborhood systems in fuzzy topology

open access: yes, 1994
In this paper, we revivify the theory of neighborhood systems in fuzzy topology with the method used to develop fuzzifying topology and find another kind of reasonable neighborhood structure in fuzzy topology except quasineighborhood systems of Pu and ...
Ying, M
core   +1 more source

Connecting Fuzzifying Topologies and Generalized Ideals by Means of Fuzzy Preorders

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
The present paper investigates the relations between fuzzifying topologies and generalized ideals of fuzzy subsets, as well as constructing generalized ideals and fuzzifying topologies by means of fuzzy preorders.
G. Elsalamony
doaj   +1 more source

Topological relations between fuzzy regions in a fuzzy topological space

open access: yesInternational Journal of Applied Earth Observation and Geoinformation, 2010
Abstract Topological relations are one of the most important aspects in GIS modeling. The topological relations between crisp spatial objects have been well identified. However, the topological relations between fuzzy spatial objects need more investigation. This paper deals with building a special fuzzy topological space for fuzzy sets. Based on it,
Xinming Tang   +2 more
openaire   +3 more sources

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