Results 11 to 20 of about 4,912,920 (327)

New Soft Structure: Infra Soft Topological Spaces

open access: yesMathematical Problems in Engineering, 2021
It is always convenient to find the weakest conditions that preserve some topologically inspired properties. To this end, we introduce the concept of an infra soft topology which is a collection of subsets that extend the concept of soft topology by ...
T. Al-shami
semanticscholar   +1 more source

An Introduction to Fuzzy Topological Spaces

open access: yesAdvances in Pure Mathematics, 2021
Topology has enormous applications on fuzzy set. An attention can be brought to the mathematicians about these topological applications on fuzzy set by this article.
I. Zahan, R. Nasrin
semanticscholar   +1 more source

Topology and Sobolev Spaces [PDF]

open access: yesJournal of Functional Analysis, 2000
Let two compact connected oriented smooth Riemannian manifolds \(M\) and \(N\) (with or without boundary) be given. It is supposed that \(\dim M\geq 2\); the example \(N=S^1\) is of importance. Let \(W^{1,p}(M,N)\) be the Sobolev space of functions \(u\in W^{1,p} (M,\mathbb{R}^k)\) with \(u(x)\in N\) a.e.
Haim Brezis, Yanyan Li
openaire   +4 more sources

Multiple Attribute Decision Making Algorithm via Picture Fuzzy Nano Topological Spaces

open access: yesSymmetry, 2021
Picture fuzzy nano topological spaces is an extension of intuitionistic fuzzy nano topological spaces. Every decision in life ends with an answer such as yes or no, or true or false, but we have an another component called abstain, which we have not yet ...
Ibtesam Alshammari   +3 more
semanticscholar   +1 more source

Continuity for Multifunctions in Ideal Topological Spaces

open access: yesWSEAS Transactions on Mathematics, 2021
This article presents the concept of ı ⋆ -continuous multifunctions in ideal topological spaces. Especially, several characterizations of ı ⋆ -continuous multifunctions are investigated.
C. Boonpok, Prapart Pue-on
semanticscholar   +1 more source

An Introduction to δ-open sets in a Neutrosophic Topological Spaces

open access: yes, 2021
In this paper, we introduce a new types of δ-open sets and δ-closed sets in neutrosophic topological spaces which are a stronger form. Also, the notion of neutrosophic δ mappings were introduced and also discuss their relationship between near mappings ...
A. Vadivel   +2 more
semanticscholar   +1 more source

A new approach to nearly paracompact spaces

open access: yesМатематичні Студії, 2023
The pre-open sets are a generalization of open sets of topological spaces. In this paper, we introduce and study a notion of po-paracompact spaces via pre-open sets on topological spaces.
A. Mukharjee
doaj   +1 more source

Fuzzy metric topology space and manifold [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2023
This paper, considers the fuzzy topological subsets, fuzzy topological spaces and introduces a novel concept of fuzzy Hausdorff space and fuzzy manifold space in this regards. Based on these concepts, we present a concept of fuzzy metric Hausdorff spaces
Mahdi Mollaei Arani
doaj   +1 more source

On Two Classes of Soft Sets in Soft Topological Spaces

open access: yesSymmetry, 2020
In this paper, we define soft ω -open sets and strongly soft ω -open sets as two new classes of soft sets. We study the natural properties of these types of soft sets and we study the validity of the exact versions of some known results in ordinary ...
S. Ghour, Worood Hamed
semanticscholar   +1 more source

Picture fuzzy topological spaces and associated continuous functions

open access: yesAIMS Mathematics, 2022
This paper describes a study of picture fuzzy topological spaces. We prove some basic results related to picture fuzzy sets together with the introduction of new notions such as the rank, picture fuzzy base and picture fuzzy sub-base of picture fuzzy ...
Abdul Razaq   +3 more
doaj   +1 more source

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