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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.

General Mathematics · Mathematics 2017-02-07 Ismael Akray

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.

General Topology · Mathematics 2014-04-15 Ismail Osmanoglu , Deniz Tokat

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.…

General Topology · Mathematics 2016-03-26 Serkan Atmaca , İdris Zorlutuna

In this paper Lowen type multi-fuzzy topological space has been introduced and characterization of topology by its nbd system is studied. Also the product multi-fuzzy topological space has been introduced and it has been investigated that…

General Mathematics · Mathematics 2018-04-17 Moumita Chiney , S. K. Samanta

In this paper, we study some characterizations of fuzzifying strong compactness including nets and pre-subbases properties. We also introduve new characterizations of locally strong compactness in fuzzifying topology and mappings.

Logic · Mathematics 2018-02-07 O. R. Sayed , Adem Kilicman

We give a definition of compactness in L-fuzzy topological spaces and provide a characterization of compact L-fuzzy topological spaces, where L is a complete quasi-monoidal lattice with some additional structures, and we present a version…

General Topology · Mathematics 2010-10-26 Joaquin Luna-Torres , Elias Salazar-Buelvas

In this paper we show that an affine space is determined by the abstract group structure of its group of regular automorphisms in the category of connected affine varieties. To prove this we study commutative subgroups of the group of…

Algebraic Geometry · Mathematics 2022-03-17 Serge Cantat , Andriy Regeta , Junyi Xie

A few of the algebraic and topological properties of int. fuzzy continuity and int. fuzzy uniform continuity are investigated. Also, the concept of int. fuzzy uniform convergence is introduced thereafter a few result on int. fuzzy uniform…

General Mathematics · Mathematics 2009-11-10 Bivas Dinda , T. K. Samanta

We study affine maps between affine manifolds. Even when the fibers are compact and diffeomorphic, two of them can inherit different affine structures from the source space. This leads to a fixed linear holonomy deformation theory of the…

Differential Geometry · Mathematics 2007-05-23 A. Tsemo

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…

General Topology · Mathematics 2021-05-18 Abd Ulazeez Alkouri , Mohammad Hazaimeh , Ibrahim Jawarneh

In this paper we introduce congruence spaces, which are topological spaces that are canonically attached to monoid schemes and that reflect closed topological properties. This leads to satisfactory topological characterizations of closed…

Algebraic Geometry · Mathematics 2023-05-23 Oliver Lorscheid , Samarpita Ray

In this paper we introduce the notion of interval valued hesitant fuzzy soft topological space. Also the concepts of interval valued hesitant fuzzy soft closure, interior and neighbourhood are introduced here and established some important…

General Mathematics · Mathematics 2017-06-06 Manash Jyoti Borah , Bipan Hazarika

We describe a construction of fuzzy spaces which approximate projective toric varieties. The construction uses the canonical embedding of such varieties into a complex projective space: The algebra of fuzzy functions on a toric variety is…

High Energy Physics - Theory · Physics 2008-11-26 Christian Saemann

The definition of the complement of a fuzzy subset is algebraic in nature and when it is used in the context of fuzzy topological spaces it does not share any similarity with the usual property of topological spaces that the complement of…

General Topology · Mathematics 2025-08-25 Anjeza Krakulli , Elton Pasku

In this note, we investigate some topological properties of probabilistic modular spaces.

Classical Analysis and ODEs · Mathematics 2013-05-15 K. Fallahi , K. Nourouzi

In this paper, we define concept of approximate fixed point property of a function and a set in intuitionistic fuzzy normed space. Furthermore, we give intuitionistic fuzzy version of some class of maps used in fixed point theory and…

Functional Analysis · Mathematics 2015-09-10 Müzeyyen Ertürk , Vatan Karakaya , M. Mursaleem

We classify complex compact parallelizable manifolds which admit flat torsion free holomorphic affine connections. We exhibit complex compact manifolds admitting holomorphic affine connections, but no flat torsion free holomorphic affine…

Differential Geometry · Mathematics 2009-01-29 Sorin Dumitrescu

Apart from global topological problems an affine homogeneous space is locally described by its curvature, its torsion and a slightly less tangible object called its connection in a given base point. Using this description of the local…

Differential Geometry · Mathematics 2017-07-21 Gregor Weingart

We propose a simple criterion of compactness in the space of fuzzy number on the space of finite dimension and apply to deal with a class of fuzzy intergral equations in the best condition.

Functional Analysis · Mathematics 2017-07-10 Tran Minh Thuyet , Do Huy Hoang , Pham Thanh Son , Ho Quang Duc

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.…

General Mathematics · Mathematics 2015-06-11 J. Mahanta , P. K. Das
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