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Given a nonempty set $X$ and a function $f:X \rightarrow X$, three fuzzy topological spaces are introduced. Some properties of these spaces and relation among them are studied and discussed.

综合数学 · 数学 2017-02-07 Ismael Akray

In this paper, we introduce semiopen and semiclosed fuzzy soft sets in fuzzy soft topological spaces. Various properties of these sets are studied alongwith some characterizations. Further, we generalize the structures like interior and…

综合数学 · 数学 2014-03-17 Juthika Mahanta

In this paper we define fuzzy sequential topology on a non empty set X which is a collection of fuzzy sequential sets satisfying certain conditions given in its definition and many pleasant properties of a countable number of fuzzy…

一般拓扑 · 数学 2012-09-27 M. Singha , N. Tamang , S. De Sarkar

This book has five chapters. Chapter one is introductory in nature. Fuzzy linguistic spaces are introduced in chapter two. Fuzzy linguistic vector spaces are introduced in chapter three. Chapter four introduces fuzzy linguistic models. The…

综合数学 · 数学 2012-03-06 W. B. Vasantha Kandasamy , Florentin Smarandache , K. Amal

The fuzzy topological space was introduced by Dip in 1999 depending on the notion of fuzzy spaces. Dip's approach helps to rectify the deviation in some definitions of fuzzy subsets in fuzzy topological spaces. In this paper, further…

一般拓扑 · 数学 2021-05-18 Abd Ulazeez Alkouri , Mohammad Hazaimeh , Ibrahim Jawarneh

In this paper, we introduce the notion of fuzzy soft numbers. Here defined fuzzy soft number and four arithmetic operations $ \tilde{+}, \tilde{-}, \tilde{\times}, \tilde{\div} $ and related properties. Also introduce Hausdorff distance,…

综合数学 · 数学 2021-12-28 Manash Jyoti Borah , Bipan Hazarika

In this article, we combine the concept of a bipolar fuzzy set and a soft set. We introduce the notion of bipolar fuzzy soft set and study fundamental properties. We study basic operations on bipolar fuzzy soft set. We define exdended…

人工智能 · 计算机科学 2014-03-10 Muhammad Aslam , Saleem Abdullah , Kifayat ullah

In this paper, three topics in bipolar fuzzy soft hypervector spaces are investigated. At first, four equivalent conditions to definition of a bipolar fuzzy soft hypervector space are presented, from different point of views. Then some new…

综合数学 · 数学 2023-10-12 O. R. Dehghan

A new class of fuzzy closed sets, namely fuzzy weakly closed set in a fuzzy topological space is introduced and it is established that this class of fuzzy closed sets lies between fuzzy closed sets and fuzzy generalized closed sets.…

综合数学 · 数学 2015-06-11 J. Mahanta , P. K. Das

We introduce the concept of a soft ditopological space as the "soft generalization" of the concept of a ditopological space as it is defined in the papers by L.M. Brown and co-authors, see e.g. L. M. Brown, R. Erturk, S. Dost,…

综合数学 · 数学 2016-10-23 Tugbahan Simsekler Dizman , Alexander Sostak , Saziye Yuksel

This paper initiates the study of picture fuzzy topological spaces. In order to develop a mechanism to construct picture fuzzy topological spaces, we prove some basic results related to picture fuzzy sets together with the introduction of…

综合数学 · 数学 2022-01-25 Abdul Razaq , Harish Garg , Umer Shuaib

Fuzzy sets are the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling. Numerous works now combine fuzzy concepts with other scientific disciplines…

泛函分析 · 数学 2017-03-01 Murat Kirişci

In this paper, we introduce the topological structure of fuzzy parametrized soft sets and fuzzy parametrized soft mappings. We define the notion of quasi-coincidence for fuzzy parametrized soft sets and investigated basic properties of it.…

一般拓扑 · 数学 2016-03-26 Serkan Atmaca , İdris Zorlutuna

In this article, by using basic properties of fuzzy soft topology we defined fuzzy soft compactness. We also introduced some basic definitions and theorems of the concept.

一般拓扑 · 数学 2014-04-15 Ismail Osmanoglu , Deniz Tokat

In this paper, I obtain an $S$-type fuzzy point when two fuzzy numbers for two independent variables and a corresponding fuzzy number for the dependent variable are given. A comprehensive study on a conceptualization of a fuzzy plane as a…

综合数学 · 数学 2024-03-20 Diksha Gupta

Fuzzy spaces are obtained by quantizing adjoint orbits of compact semi-simple Lie groups. Fuzzy spheres emerge from quantizing S^2 and are associated with the group SU(2) in this manner. They are useful for regularizing quantum field…

高能物理 - 理论 · 物理学 2009-11-10 A. P. Balachandran , S. Kurkcuoglu

B. Tanay et. al. introduced and studied fuzzy soft topological spaces. Here we introduce fuzzy soft point and study the concept of neighborhood of a fuzzy soft point in a fuzzy soft topological space. We also study fuzzy soft closure and…

综合数学 · 数学 2012-03-21 J. Mahanta , P. K. Das

Using the concept of fuzzy field, we have considered the fuzzy field of real and complex numbers and thereafter we have established a few standard results of real and complex numbers with respect to a membership function.

综合数学 · 数学 2008-05-07 T. K. Samanta

In this paper we study the number of finite topologies on an $n$-element set subject to various restrictions.

组合数学 · 数学 2024-01-02 Eldar Fischer , Johann A. Makowsky

Intuitionistic fuzzy Banach algebra is introduced and a few properties of it is studied. The properties of invertible elements and relation among invertible elements, open set, closed set are emphasized. Topological divisors of zero is…

综合数学 · 数学 2010-09-20 Bivas Dinda , T. K. Samanta , U. K. Bera
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