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In this paper, we introduce semiopen and semiclosed fuzzy soft sets in fuzzy soft topological spaces. Various properties of these sets are studied alongwith some characterizations. Further, we generalize the structures like interior and…

General Mathematics · Mathematics 2014-03-17 Juthika Mahanta

Bipolar fuzzy relation equations arise when unknown variables together with their logical negations appear simultaneously in fuzzy relation equations. This paper gives a characterization of the solvability of bipolar max product fuzzy…

General Mathematics · Mathematics 2024-10-11 M. Eugenia Cornejo , David Lobo , Jesús Medina

We introduce semicontinuous summation methods for series of fuzzy numbers and give Tauberian conditions under which summation of a series of fuzzy numbers via generalized Dirichlet series and via generalized factorial series implies its…

General Mathematics · Mathematics 2019-12-30 Enes Yavuz

We describe general connections between intersective properties of sets in Abelian groups and positive exponential sums. In particular, given a set $A$ the maximal size of a set whose difference set avoids $A$ will be related to positive…

Combinatorics · Mathematics 2012-07-17 Mate Matolcsi , Imre Z. Ruzsa

Fuzzy implication functions have been widely investigated, both in theoretical and practical fields. The aim of this work is to continue previous works related to fuzzy implications constructed by means of non necessarily associative…

The Price equation provides a formal account of selection building on a right-total mapping between two classes of individuals, that is usually interpreted as a parent-offspring relation. This paper presents a new formulation of the Price…

Populations and Evolution · Quantitative Biology 2025-03-19 Matthias Borgstede

We discuss how hadronic bag models can be generalized in the framework of fuzzy set theory to implement effects of a smooth and extended phase boundary.

High Energy Physics - Phenomenology · Physics 2007-05-23 Hilmar Forkel

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…

General Mathematics · Mathematics 2012-03-21 J. Mahanta , P. K. Das

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…

Logic in Computer Science · Computer Science 2014-10-07 Apostolos Syropoulos

Certain new inequalities for the sums of factorials are presented.

General Mathematics · Mathematics 2008-06-03 Mihaly Bencze , Florentin Smarandache

Modeling relations between components of 3D objects is essential for many geometry editing tasks. Existing techniques commonly rely on labeled components, which requires substantial annotation effort and limits components to a dictionary of…

Graphics · Computer Science 2018-07-05 Minhyuk Sung , Anastasia Dubrovina , Vladimir G. Kim , Leonidas Guibas

The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we consider the intuitionistic fuzzification of the concept of sub-hyperquasigroups in a hyperquasigroup and…

General Mathematics · Mathematics 2007-05-23 Wieslaw A. Dudek , Bijan Davvaz , Young Bae Jun

In this talk a brief survey of basic ideas of Idempotent Mathematics is presented. Relations between this theory and the theory of fuzzy sets as well as the possibility theory and some applications (including computer applications) are…

Rings and Algebras · Mathematics 2012-09-11 G. L. Litvinov

We introduce shift algebras as certain crossed product algebras based on general function spaces and study properties, as well as the classification, of a particular class of modules depending on a set of matrix parameters. It turns out…

Quantum Algebra · Mathematics 2022-01-13 Joakim Arnlind , Andreas Sykora

We propose a simple criterion of compactness in the space of fuzzy number on the space of finite dimension and apply to deal with a class of fuzzy intergral equations in the best condition.

Functional Analysis · Mathematics 2017-07-10 Tran Minh Thuyet , Do Huy Hoang , Pham Thanh Son , Ho Quang Duc

In this study different types of intuitionistic fuzzy continuities (IFCs) and intuitionistic fuzzy boundedness (IFBs) in intuitionistic fuzzy pseudo normed linear spaces are studied. Relations (intra and inter) on intuitionistic fuzzy…

General Mathematics · Mathematics 2021-02-15 Bivas Dinda , Santanu Kumar Ghosh , T. K. Samanta

In this paper, we introduce the notion of fuzzy soft numbers. Here defined fuzzy soft number and four arithmetic operations $ \tilde{+}, \tilde{-}, \tilde{\times}, \tilde{\div} $ and related properties. Also introduce Hausdorff distance,…

General Mathematics · Mathematics 2021-12-28 Manash Jyoti Borah , Bipan Hazarika

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…

General Mathematics · Mathematics 2022-12-20 Sunday Adesina Adebisi , Mike. Ogiugo , Michael Enioluwafe

We introduce new types of systems of generalized quasi-variational inequalities and we prove the existence of the solutions by using results of pair equilibrium existence for free abstract economies. We consider the fuzzy models and we also…

Optimization and Control · Mathematics 2013-05-14 Monica Patriche

In this article we investigate a way in which quantum computing can be used to extend the class of fuzzy sets. The core idea is to see states of a quantum register as characteristic functions of quantum fuzzy subsets of a given set. As the…

Logic in Computer Science · Computer Science 2007-05-23 Mirco A. Mannucci