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The Fuzzy Modeling has been applied in a wide variety of fields such as Engineering and Management Sciences and Social Sciences to solve a number Decision Making Problems which involve impreciseness, uncertainty and vagueness in data. In…

Artificial Intelligence · Computer Science 2013-04-29 Arindam Chaudhuri , Kajal De , Dipak Chatterjee

In this paper, definition of fuzzy strong $\phi$-b-normed linear space is given. Here the scalar function |c| is replaced by a general function $\phi$(c) where {\phi} satisfies some properties. Some basic results on finite dimensional fuzzy…

General Mathematics · Mathematics 2023-08-21 Abhishikta Das , T. Bag , S. Chatterjee

A compactness of the Revuz map is established in the sense that the locally uniform convergence of a sequence of positive continuous additive functionals is derived in terms of their smooth measures. To this end, we first introduce a metric…

Probability · Mathematics 2024-05-08 Yasuhito Nishimori , Matsuyo Tomisaki , Kaneharu Tsuchida , Toshihiro Uemura

In this paper, we have tried to apply the concepts of fuzzy sets to Lie groups and its relative concepts. First, we define a ${\cal C}^1$ fuzzy submanifold after reviewing ${\cal C}^1-$fuzzy manifold definition. In main section, we defined…

Differential Geometry · Mathematics 2010-10-05 M. Nadjafikhah , R. Bakhshandeh-Chamazkoti

Soft condensed matter physics is the study of materials, such as fluids, liquid crystals, polymers, colloids, and emulsions, that are ``soft" to the touch. This article will review some properties, such as the dominance of entropy, that are…

Condensed Matter · Physics 2009-10-28 T. C. Lubensky

We prove a smooth compactness theorem for the space of elasticae, unless the limit curve is a straight segment. As an application, we obtain smooth stability results for minimizers with respect to clamped boundary data.

Analysis of PDEs · Mathematics 2025-11-19 Tatsuya Miura

The goal of this work is to introduce and study fuzzy limits of functions. Two approaches to fuzzy limits of a function are considered. One is based on the concept of a fuzzy limit of a sequence, while another generalizes the conventional…

Classical Analysis and ODEs · Mathematics 2007-05-23 Mark Burgin

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…

High Energy Physics - Theory · Physics 2010-03-03 Yasuhiro Abe

This paper further investigates the data compression of fuzzy relation information systems. First, we introduce an algorithm for constructing the homomorphism between fuzzy relation information systems. Then, we discuss that how to compress…

Information Theory · Computer Science 2015-02-24 Mingjie Cai , Qingguo Li , Guangming Lang

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

An orthogonal approach to the fuzzification of both multisets and hybrid sets is presented. In particular, we introduce L-multi-fuzzy and L-fuzzy hybrid sets, which are general enough and in spirit with the basic concepts of fuzzy set…

Logic in Computer Science · Computer Science 2012-08-14 Apostolos Syropoulos

One of the nice properties of the first-order logic is the compactness of satisfiability. It state that a finitely satisfiable theory is satisfiable. However, different degrees of satisfiability in many-valued logics, poses various kind of…

Logic · Mathematics 2022-06-02 Seyed Mohammad Amin Khatami

Soft set theory, introduced by Molodtsov [Molodtsov, D. (1999). Soft set theory-first results. Comput. Math. Appl., 37(4-5), 19-31], provides a flexible framework for managing uncertainty and vagueness, addressing limitations in traditional…

General Mathematics · Mathematics 2025-06-02 Santanu Acharjee , Sidhartha Medhi

Fuzzy closure spaces are an extension of classical closure spaces in topology, where the concept of closure is defined in terms of fuzzy sets. This article introduces interior operators and neighborhood systems in fuzzy closure spaces.…

General Topology · Mathematics 2025-09-16 Albin James , T. P. Johnson

Let $Covering$ be the category of the category of fuzzy coverings, and $Partition$, the category of fuzzy partitions. We geometrically construct an isomorphism of categories between $Partition$ and a full subcategory of $Covering$, which…

General Mathematics · Mathematics 2024-05-01 Mircea Cimpoeas , Adrian Gabriel Neacsu

It is important to classify covering subgroups of the fundamental group of a topological space using their topological properties in the topologized fundamental group. In this paper, we introduce and study some topologies on the fundamental…

Algebraic Topology · Mathematics 2018-07-04 M. Ab dullahi Rashid , N. Jamali , B. Mashayekhy , S. Z. Pashaei , H. Torabi

We already saw in [A1] that the space of dynamically marked rational maps can be identified to a subspace of the space of covers between trees of spheres on which there is a notion of convergence that makes it sequentially compact. In the…

Dynamical Systems · Mathematics 2017-09-15 Matthieu Arfeux

Molodstov[10] introduced soft set theory as a new mathematical approach for solving problems having uncertainties. Many researchers worked on the findings of structures of soft set theory and applied to many problems having uncertainties.…

General Mathematics · Mathematics 2014-09-12 Sabir Hussain

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…

Combinatorics · Mathematics 2015-01-27 M. Akram , W. A. Dudek , S. Sarwar

In this paper, we define concept of bipolar neutrosophic soft expert set. Also, its basic operations, namely complement, union and intersection. We give examples for these concepts.

General Mathematics · Mathematics 2016-02-25 Mehmet Sahin , Irfan Deli , Vakkas Ulucay