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Related papers: Results on fuzzy soft topological spaces

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In this manuscript the idea of soft convex structures is given and some of their properties are investigated. Also, soft convex sets, soft concave sets and soft convex hull operator are defined and their properties are studied. Moreover,…

General Mathematics · Mathematics 2024-05-31 José Sanabria , Adolfo Pimienta , Semiramis Zambrano

In this study, the soft usual topology compatible with the usual topology of $\mathbb{R}$ is defined, and using its subspace topology on the interval $[0,1]$, the concept of a soft path is introduced. Within this context, the notions of…

Category Theory · Mathematics 2025-11-18 Nazmiye Alemdar , Hürmet Fulya Akız , Halim Ayaz

Fuzzy ordered linear spaces, Riesz spaces, fuzzy Archimedean spaces and $\sigma$-complete fuzzy Riesz spaces were defined and studied in several works. Following the efforts along this line, we define fuzzy Riesz subspaces, fuzzy ideals,…

Functional Analysis · Mathematics 2015-03-11 Liang Hong

Generalized topological spaces in the sense of Cs\'{a}sz\'{a}r have two main features which distinguish them from typical topologies. First, these families of subsets are not closed under intersections. Second, we allow for the possibility…

Logic · Mathematics 2019-09-23 Tomasz Witczak

This study, fundamentals of fuzzy block theory, and its application in assessment of stability in underground openings, has surveyed. Using fuzzy topics and inserting them in to key block theory, in two ways, fundamentals of fuzzy block…

Artificial Intelligence · Computer Science 2008-05-16 H. Owladeghaffari

In this paper, the notion of convexity of picture fuzzy multisets was introduced and some of their properties were presented after studying the concept of picture fuzzy multisets.

General Mathematics · Mathematics 2026-03-25 Taiwo O. Sangodapo

Following the definition of intuitionistic fuzzy n-norm [ 3 ], we have introduced the definition of intuitionistic fuzzy norm (in short IFN) over a linear space and there after a few results on intuitionistic fuzzy normed linear space and…

General Mathematics · Mathematics 2015-03-13 T. K. Samanta , Iqbal H. Jebril

First of all, we focused soft {\beta}-open sets and soft {\beta}-closed sets over the soft topological space and investigated some properties of them. Secondly, we defined the concepts soft {\beta}-continuity, soft {\beta}-irresolute and…

General Topology · Mathematics 2013-12-30 Yunus Yumak , Aynur Keskin Kaymakcı

Motivated by Gopal and Vetro [Iranian Journal of Fuzzy Systems, 11(3), 95-107], we introduce a symmetric pair of $\beta$-admissible mappings and obtain common fixed point theorems for such a pair in complete and weak $G$-complete fuzzy…

General Topology · Mathematics 2024-04-04 Sugata Adhya , A. Deb Ray

In this study different types of intuitionistic fuzzy continuities (IFCs) and intuitionistic fuzzy boundedness (IFBs) in intuitionistic fuzzy pseudo normed linear spaces are studied. Relations (intra and inter) on intuitionistic fuzzy…

General Mathematics · Mathematics 2021-02-15 Bivas Dinda , Santanu Kumar Ghosh , T. K. Samanta

In this paper induced U-equivalence spaces are introduced and discussed. Also the notion of U-equivalently open subsets of a U-equivalence space and U-equivalently open functions are studied. Finally, equivalently uniformisable topological…

General Topology · Mathematics 2015-11-10 Farshad Omidi , MohammadReza Molaei

In this paper, a new concept, the fuzzy rate of an operator in linear spaces is proposed for the very first time. Some properties and basic principles of it are studied. Fuzzy rate of an operator $B$ which is specific in a plane is…

General Mathematics · Mathematics 2021-01-05 Yijin Zhang , Honggang Li , Maoming Jin , Zongbing Lin

In this work, topological spaces are enriched by additional structures in order to give a more realistic representation of real life phenomena and computational processes and at the same time, to provide for utilization of the powerful…

General Topology · Mathematics 2007-05-23 M. Burgin

In this paper we study the property of separability of functional space with the open-point and bi-point-open topologies.

General Topology · Mathematics 2016-02-15 Alexander V. Osipov

Our purpose of this paper is to focus on fixed point property in fuzzy metric space. To achieve our objective, we will introduce a new contraction condition to examine the fixed point for multi-valued mapping, then we will be investigating…

General Mathematics · Mathematics 2024-07-23 Ismail Tahiri , Ahmed Nuino

In this paper, we study the concept of Fibonacci statistical convergence on intuitionisitic fuzzy normed space. We define the Fibonacci statistically Cauchy sequences with respect to an intuitionisitic fuzzy normed space and introduce the…

General Mathematics · Mathematics 2018-12-31 Murat Kirişci

In this paper, we introduce an abstract fuzzy economy model with a measure space of agents which generalizes Patriche's model (2009), we obtain a theorem of fuzzy equilibrium existence and we prove the existence of the solutions for two…

Optimization and Control · Mathematics 2013-04-23 Monica Patriche

In this paper, we presents a characterization of compact subsets of the fuzzy number space equipped with the level convergence topology. Based on this, it is shown that compactness is equivalent to sequential compactness on the fuzzy number…

General Mathematics · Mathematics 2012-12-12 Huan Huang , Congxin Wu

The article is devoted to a structure of topological spaces related with topological quasigroups. Regular and complete spaces over topological quasigroups are studied. Separations and embeddings are also investigated for them. Their…

Group Theory · Mathematics 2023-12-29 S. V. Ludkowski

Concepts of graph theory have applications in many areas of computer science including data mining, image segmentation, clustering, image capturing, networks, etc . An interval-valued fuzzy set is a generalization of the notion of a fuzzy…

Discrete Mathematics · Computer Science 2014-01-07 Hossein Rashmanlou , Madhumangal Pal
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