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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

A detailed study of graded frame, graded fuzzy topological system and fuzzy topological space with graded inclusion is already done in our earlier paper. The notions of graded fuzzy topological system and fuzzy topological space with graded…

综合数学 · 数学 2017-04-27 Purbita Jana , Mihir K. Chakraborty

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, 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

The major part of this thesis deals with fuzzy geometric logic and fuzzy geometric logic with graded consequence. The first chapter mainly contains the concept of topological system introduced by S. Vickers in 1989. In Chapter 2 the notion…

综合数学 · 数学 2017-05-16 Purbita Jana

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

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

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…

一般拓扑 · 数学 2025-08-25 Anjeza Krakulli , Elton Pasku

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

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.

综合数学 · 数学 2026-03-25 Taiwo O. Sangodapo

Quantization of spacetime by means of finite dimensional matrices is the basic idea of fuzzy spaces. There remains an issue of quantizing time, however, the idea is simple and it provides an interesting interplay of various ideas in…

高能物理 - 理论 · 物理学 2010-03-03 Yasuhiro Abe

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 paper, we introduce the foundation of a fractal topological space constructed via a family of nested topological spaces endowed with subspace topologies, where the number of topological spaces involved in this family is related to…

综合数学 · 数学 2021-07-13 Helene Porchon

Since categories are graphs with additional "structure", one should start from fuzzy graphs in order to define a theory of fuzzy categories. Thus is makes sense to introduce categories whose morphisms are associated with a plausibility…

计算机科学中的逻辑 · 计算机科学 2014-10-07 Apostolos Syropoulos

In this work, we first define intuitionistic fuzzy parametrized soft sets (intuitionistic FP-soft sets) and study some of their properties. We then introduce an adjustable approaches to intuitionistic FP-soft sets based decision making. We…

逻辑 · 数学 2015-02-24 İrfan Deli , Naim Çağman

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

The purpose of this paper is to construct topology on vague soft sets. The concept of vague soft topology is introduced and its basic properties are given.

综合数学 · 数学 2014-07-03 D. Tokat , İ. Osmanoğlu

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a high-dimensional space and concepts are represented by convex regions in this space. After…

人工智能 · 计算机科学 2017-09-22 Lucas Bechberger , Kai-Uwe Kühnberger

This paper further studies the fuzzy rough sets based on fuzzy coverings. We first present the notions of the lower and upper approximation operators based on fuzzy coverings and derive their basic properties. To facilitate the computation…

信息论 · 计算机科学 2013-04-02 Guangming Lang , Qingguo Li , Lankun Guo
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