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Related papers: Fuzzy soft numbers

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In this article we compute the number of fuzzy bitopological space with having two open sets, three open sets, four open sets and five open sets. Also, we have given some results on computation of number of fuzzy bitopological space.

General Topology · Mathematics 2019-12-10 Bhimraj Basumatary , Jili Basumatary , Nijwm Wary

In this paper, the fuzzy Hausdorff distance is studied, and also the fuzzy equidistant set for two points of a fuzzy metric space is introduced. Here, the fuzzy metric space has been redefined using recently developed fuzzy geometry, and…

General Mathematics · Mathematics 2025-12-19 Biswajit Singha , Ronald Manríquez , Cristian Carvajal , Debjani Chakraborty

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

In this paper we introduce and study semigroups of operators on spaces of fuzzy-number-valued functions, and various applications to fuzzy differential equations are presented. Starting from the space of fuzzy numbers, many new spaces…

Analysis of PDEs · Mathematics 2013-06-18 Ciprian G. Gal , Sorin G. Gal

The aim of this paper is to introduce the notion of bipolar fuzzy soft hypervector spaces and study their basic properties. In this regard, at first some new operation and external hyperoperation are defined on bipolar fuzzy soft sets over…

General Mathematics · Mathematics 2023-10-12 O. R. Dehghan

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…

General Mathematics · Mathematics 2024-03-20 Diksha Gupta

In this article, we introduce a differentiability concept for fuzzy functions $\tilde{f}: F(\mathbb{R}) \to F(\mathbb{R})$, where $F(\mathbb{R})$ is the set of all fuzzy numbers. With the help of the proposed differentiability notion, we…

Optimization and Control · Mathematics 2019-10-08 U. M. Pirzada , Debdas Ghosh

The fuzzy integral is a powerful parametric nonlin-ear function with utility in a wide range of applications, from information fusion to classification, regression, decision making,interpolation, metrics, morphology, and beyond. While the…

Artificial Intelligence · Computer Science 2020-10-22 Derek Anderson , Matthew Deardorff , Timothy Havens , Siva Kakula , Timothy Wilkin , Muhammad Islam , Anthony Pinar , Andrew Buck

Soft set theory serves as a mathematical framework for handling uncertain information, and hesitant fuzzy sets find extensive application in scenarios involving uncertainty and hesitation. Hesitant fuzzy sets exhibit diverse membership…

Machine Learning · Computer Science 2024-03-11 Shizhan Lu

Statistical limits are defined relaxing conditions on conventional convergence. The main idea of the statistical convergence of a sequence l is that the majority of elements from l converge and we do not care what is going on with other…

Classical Analysis and ODEs · Mathematics 2008-03-31 Mark Burgin , Oktay Duman

The concept of fuzzy cardinal semantic transformation as a basis for creating fuzzy semantic numeration systems is introduced in this work. Both fuzziness of the initial data - cardinals of abstract entities - and fuzziness of the…

Artificial Intelligence · Computer Science 2022-06-24 Alexander Chunikhin , Vadym Zhytniuk

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

In our work, we continue to explore the properties of interval-valued fuzzy soft sets, which are obtained by combining interval-valued fuzzy sets and soft sets. We introduce the concept of energy of an interval-valued fuzzy soft set, as…

Artificial Intelligence · Computer Science 2024-05-28 Ljubica Djurović , Maja Laković , Nenad Stojanović

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…

Logic · Mathematics 2015-02-24 İrfan Deli , Naim Çağman

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…

Artificial Intelligence · Computer Science 2022-08-15 Dmitry Maximov

In this paper the author presents a kind of Soft Computing Technique, mainly an application of fuzzy set theory of Prof. Zadeh [16], on a problem of Medical Experts Systems. The choosen problem is on design of a physician's decision model…

Artificial Intelligence · Computer Science 2010-05-24 Siddharths Sankar Biswas

Random fuzzy variables join the modeling of the impreciseness (due to their ``fuzzy part'') and randomness. Statistical samples of such objects are widely used, and their direct, numerically effective generation is therefore necessary.…

Machine Learning · Statistics 2025-01-22 Maciej Romaniuk , Abbas Parchami , Przemysław Grzegorzewski

In this paper, we introduce a new class of implicit function to prove common fixed point theorems in fuzzy metric space. Moreover we define a new altering distance in terms of integral and utilize the same to deduce integral type…

Functional Analysis · Mathematics 2018-07-09 Rachana Soni

The recently defined concept of a statistical depth function for fuzzy sets provides a theoretical framework for ordering fuzzy sets with respect to the distribution of a fuzzy random variable. One of the most used and studied statistical…

Methodology · Statistics 2022-07-27 Luis González-De La Fuente , Alicia Nieto-Reyes , Pedro Terán

A fuzzy mnesor space is a semimodule over the positive real numbers. It can be used as theoretical framework for fuzzy sets. Hence we can prove a great number of properties for fuzzy sets without refering to the membership functions.

Artificial Intelligence · Computer Science 2009-05-05 Gilles Champenois