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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

In this paper, we introduce the notion of invariant submodule in the theory of Hilbert C*-modules and study some basic properties of bounded adjointable operators and their generalized inverses which have nontrivial invariant submodules. We…

算子代数 · 数学 2025-06-03 Kamran Sharifi

This paper proposes two kinds of fuzzy abductive inference in the framework of fuzzy rule base. The abductive inference processes described here depend on the semantic of the rule. We distinguish two classes of interpretation of a fuzzy…

人工智能 · 计算机科学 2007-05-23 Nedra Mellouli , Bernadette Bouchon-Meunier

The concept of a fuzzy number is generalized to the case of a finite carrier set of partially ordered elements, more precisely, a lattice, when a membership function also takes values in a partially ordered set (a lattice). Zadeh's…

人工智能 · 计算机科学 2022-08-15 Dmitry Maximov

The class of radial fuzzy systems is introduced. The fuzzy systems in this class use radial functions to implement membership functions of fuzzy sets and exhibit a shape preservation property in antecedents of their rules. The property is…

系统与控制 · 计算机科学 2016-02-18 David Coufal

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

The concept of fuzzy soft set was introduced for the first time by Maji et al. in 2002, and was considered sharply from applicable aspects to theoretical aspects by a wide range of researchers. In this paper the concept of fuzzy soft norm…

泛函分析 · 数学 2013-10-04 A. Zahedi Khameneh , A. Kilicman , A. R. Salleh

The theory of fuzzy sets has a wide range of applications, one of which is that of fuzzy groups . The fuzzy sets were introduced by Zadeh. Even though, the story of fuzzy logic started much earlier, it was specially designed mathematically…

综合数学 · 数学 2022-12-20 Sunday Adesina Adebisi , Mike. Ogiugo , Michael Enioluwafe

In fuzzy theory of sets and groups, the use of $\alpha$--levels is a standard to translate problems from the fuzzy to the crisp framework. Using strong $\alpha$--levels, it is possible to establish a one to one correspondence which makes…

逻辑 · 数学 2021-02-08 Josefa M. Garcia , Pascual Jara

In this paper we present a new concept called generalized neutrosophic soft set. This concept incorporates the beneficial properties of both generalized neutrosophic set introduced by A.A. Salama [7]and soft set techniques proposed by…

人工智能 · 计算机科学 2013-05-14 Said Broumi

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

This paper is concerned with the fuzzy $H_{\infty}$ filter design issue for nonlinear systems with time-varying delay. To overcome the shortcomings of the conventional methods with matched preconditions, the fuzzy $H_{\infty}$ filter to be…

系统与控制 · 电气工程与系统科学 2022-09-14 Qianqian Ma , Hongwei Xia , Li Li , Guangcheng Ma

In this study, after given the definition of soft sets and their basic operations we define convex soft sets which is an important concept for operation research, optimization and related problems. Then, we define concave soft sets and give…

综合数学 · 数学 2013-07-19 Irfan Deli

In this paper the concept of fuzzy characteristic interior ideals in partially ordered gamma-semigroups(Po-gamma-semigroups) has been introduced. It is observed that it satisfies level subset criterion and characteristic function criterion.

综合数学 · 数学 2011-02-02 Samit Kumar Majumder

In this article, we apply the concept of bipolar fuzzy sets to hypergraphs and investigate some properties of bipolar fuzzy hypergraphs. We introduce the notion of $A-$ tempered bipolar fuzzy hypergraphs and present some of their…

组合数学 · 数学 2015-01-27 M. Akram , W. A. Dudek , S. Sarwar

This paper provides an in-depth review of the optimal design of type-1 and type-2 fuzzy inference systems (FIS) using five well known computational frameworks: genetic-fuzzy systems (GFS), neuro-fuzzy systems (NFS), hierarchical fuzzy…

人工智能 · 计算机科学 2019-08-28 Varun Ojha , Ajith Abraham , Vaclav Snasel

Several deep learning (DL) approaches have been proposed to deal with image classification tasks. However, despite their effectiveness, they lack interpretability, as they are unable to explain or justify their results. To address the…

计算机视觉与模式识别 · 计算机科学 2025-04-07 Georgia Sovatzidi , Michael D. Vasilakakis , Dimitris K. Iakovidis

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

Here a novel idea to handle imprecise or vague set viz. Pseudo fuzzy set has been proposed. Pseudo fuzzy set is a triplet of element and its two membership functions. Both the membership functions may or may not be dependent. The hypothesis…

人工智能 · 计算机科学 2015-02-23 Sukanta Nayak , Snehashish Chakraverty

The notion of cosilting module was recently introduced as a generalization of the concept of cotilting module. In this paper, it is introduced the notion of finitely cosilting module, i.e. a cosilting module with some finitness conditions,…

环与代数 · 数学 2017-12-05 Flaviu Pop