General Topology and Fuzzy Topology

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Geometry and Topology".

Deadline for manuscript submissions: 30 June 2024 | Viewed by 811

Special Issue Editor


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Guest Editor
Department of Mathematics, Universidad Complutense, Madrid, Spain
Interests: general topology; fuzzy topology

Special Issue Information

Dear Colleagues,

Paracompactness is a concept introduced by J. Dieudonné in 1944. It includes compact and metrizable spaces, and has important applications in differential topology, differential geometry and functional analysis.

In addition to paracompactness in the strict sense, other variants of this concept have emerged. It is a very fruitful field of research and there are very recent publications on paracompactness-type properties. We invite authors to submit papers about this topic.

On the other hand, Zadeh's fuzzy sets provide a more accurate representation of reality than the classical mathematical representation based on two-valued logic. Fuzzy sets have been applied in various branches of mathematics, including topology.

This Special Issue will publish original research papers (and well-written reviews) in the field of fuzzy topology. We hope that this Special Issue will be valuable to specialists in this topic.

We invite authors to submit papers that will stimulate the continuing efforts to provide new results on fuzzy topological spaces in the sense of Chang, Lowen, and Michalek. We also welcome papers on intuitionistic fuzzy topological spaces and neutrosophic topological spaces.

Dr. Francisco Gallego Lupianez
Guest Editor

Manuscript Submission Information

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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • general topology
  • covering properties
  • paracompactness
  • fuzzy topology
  • intuitionistic fuzzy topological spaces
  • neutrosophic topology

Published Papers (1 paper)

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Research

22 pages, 352 KiB  
Article
Vector-Valued Fuzzy Metric Spaces and Fixed Point Theorems
by Satish Shukla, Nikita Dubey and Juan-José Miñana
Axioms 2024, 13(4), 252; https://doi.org/10.3390/axioms13040252 - 10 Apr 2024
Viewed by 550
Abstract
The purpose of this paper is to generalize the concept of classical fuzzy set to vector-valued fuzzy set which can attend values not only in the real interval [0, 1], but in an ordered interval of a Banach [...] Read more.
The purpose of this paper is to generalize the concept of classical fuzzy set to vector-valued fuzzy set which can attend values not only in the real interval [0, 1], but in an ordered interval of a Banach algebra as well. This notion allows us to introduce the concept of vector-valued fuzzy metric space which generalizes, extends and unifies the notion of classical fuzzy metric space and complex-valued fuzzy metric space and permits us to consider the fuzzy sets and metrics in a larger domain. Some topological properties of such spaces are discussed and some fixed point results in this new setting are proved. Multifarious examples are presented which clarify and justify our claims and results. Full article
(This article belongs to the Special Issue General Topology and Fuzzy Topology)
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