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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…

High Energy Physics - Theory · Physics 2009-11-10 A. P. Balachandran , S. Kurkcuoglu

Systems of fuzzy relation equations and inequalities in which an unknown fuzzy relation is on the one side of the equation or inequality are linear systems. They are the most studied ones, and a vast literature on linear systems focuses on…

Artificial Intelligence · Computer Science 2022-06-03 Stefan Stanimirovic , Ivana Micic

From last decade, when Molodtsov introduced the theory of soft set as a new approach to deal with uncertainties, until now this theory was considered sharply by a fair number of researchers. Combination of fuzzy set theory and soft set…

Functional Analysis · Mathematics 2013-09-20 Azadeh Zahedi Khameneh , Adem Kilicman , Abdul Razak Salleh

In this paper, we study the concept of complex fuzzy soft matrices. The application of complex fuzzy soft matrices in signals and systems via the cross product of complex fuzzy soft matrices and Fourier transform was carried out. In this…

General Mathematics · Mathematics 2026-03-19 Olayemi R. Oladokun , Taiwo O. Sangodapo

In this paper, we study the differential smoothness of diffusion algebras.

Mathematical Physics · Physics 2025-07-15 Andrés Rubiano , Armando Reyes

First of all, we focused soft {\beta}-open sets and soft {\beta}-closed sets over the soft topological space and investigated some properties of them. Secondly, we defined the concepts soft {\beta}-continuity, soft {\beta}-irresolute and…

General Topology · Mathematics 2013-12-30 Yunus Yumak , Aynur Keskin Kaymakcı

In this paper, the definition of fuzzy rough relation on a set will be introduced and then it would be proved that the collection of such relations is closed under different binary compositions such as, algebraic sum, algebraic product etc.…

General Mathematics · Mathematics 2011-09-09 T. K. Samanta , Biswajit Sarkar

In this article, we define some types of distances between two intuitionistic fuzzy soft (IFS) sets and proposed similarity measures of two IFS-sets. We then construct a decision method which is applied to a medical diagnosis problem that…

Logic · Mathematics 2013-12-17 Naim Çağman , İrfan Deli

Active Learning Method (ALM) is a soft computing method used for modeling and control based on fuzzy logic. All operators defined for fuzzy sets must serve as either fuzzy S-norm or fuzzy T-norm. Despite being a powerful modeling method,…

Artificial Intelligence · Computer Science 2011-02-08 Ali Akbar Kiaei , Saeed Bagheri Shouraki , Seyed Hossein Khasteh , Mahmoud Khademi , Ali Reza Ghatreh Samani

In this paper, we study composite mapping on hesitant fuzzy soft classes. We also establish some interesting properties of this notion and support them with examples. Also definitions of fuzzy soft image and fuzzy soft inverse image put…

General Mathematics · Mathematics 2016-05-05 Manash Jyoti Borah , Bipan Hazarika

In this manuscript, we introduce a new concept, which is called fuzzy left (right) derivations KU- ideals in KU-algebras. We state and prove some theorems about fundamental properties of it. Moreover, we give the concepts of the image and…

Rings and Algebras · Mathematics 2015-06-16 Samy M. Mostafa , Ahmed Abd-eldayem

Maji et al. introduced in 2002 a method of parametric decision making using soft sets as tools and representing their tabular form as a binary matrix. In cases, however, where some or all of the parameters used for the characterization of…

Artificial Intelligence · Computer Science 2023-06-06 Michael Gr. Voskoglou

In this talk we will report on few results of discrete physics on the fuzzy sphere . In particular non-trivial field configurations such as monopoles and solitons are constructed on fuzzy ${\bf S}^2$ using the language of K-theory, i.e…

High Energy Physics - Theory · Physics 2009-11-07 Badis Ydri

Information algebra is algebraic structure for local computation and inference. Given an initial universe set and a parameter set, we show that a soft set system over them is an information algebra. Moreover, in a soft set system, the…

Information Theory · Computer Science 2012-01-17 Xuechong Guan , Yongming Li

On the basis of network analysis, and within the context of modeling imprecision or vague information with fuzzy sets, we propose an innovative way to analyze, aggregate and apply this uncertain knowledge into community detection of…

Statistics Theory · Mathematics 2024-02-08 Inmaculada Gutiérrez , Daniel Gómez , Javier Castro , Rosa Espínola

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, systems of linear differential equations with crisp real coefficients and with initial condition described by a vector of fuzzy numbers are studied. A new method based on the geometric representations of linear…

Numerical Analysis · Computer Science 2011-11-03 N. Gasilov , Sh. G. Amrahov , A. Golayoglu Fatullayev

Quasi-MV* algebras were introduced as generalizations of MV*-algebras and quasi-MV algebras. The recent investigation into quasi-MV* algebras shows that they are closely related to quantum computational logic and complex fuzzy logic. In…

Logic · Mathematics 2025-03-19 Lei Cai , Yingying Jiang , Wenjuan Chen

Fuzzy answer set programming (FASP) combines two declarative frameworks, answer set programming and fuzzy logic, in order to model reasoning by default over imprecise information. Several connectives are available to combine different…

Artificial Intelligence · Computer Science 2020-02-19 Mario Alviano , Rafael Penaloza

We firstly present definitions and properties in study of Maji \cite{maji-2013} on neutrosophic soft sets. We then give a few notes on his study. Next, based on \c{C}a\u{g}man \cite{cagman-2014}, we redefine the notion of neutrosophic soft…

Artificial Intelligence · Computer Science 2016-01-21 Faruk Karaaslan
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