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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

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

We show that local deformations, near closed subsets, of solutions to open partial differential relations can be extended to global deformations, provided all but the highest derivatives stay constant along the subset. The applicability of…

Differential Geometry · Mathematics 2021-09-01 Christian Baer , Bernhard Hanke

The authors introduced in a previous paper the notion of fuzzy Gromov-Hausdorff distance between non-Archimedean compact fuzzy metric spaces, presenting a fuzzy version of the Gromov's completeness theorem. In this paper we present a fuzzy…

General Topology · Mathematics 2025-12-19 Sergio Macario , Manuel Sanchis

We develop two new continuum contact models for coupled adhesion and friction, and discuss them in the context of existing models proposed in the literature. Our new models are able to describe sliding friction even under tensile normal…

Computational Engineering, Finance, and Science · Computer Science 2019-10-22 Janine C. Mergel , Riad Sahli , Julien Scheibert , Roger A. Sauer

Theories defined in higher than four dimensions have been used in various frameworks and have a long and interesting history. Here we review certain attempts, developed over the last years, towards the construction of unified particle…

High Energy Physics - Theory · Physics 2011-11-10 Athanasios Chatzistavrakidis , George Zoupanos

In this work, we first define relations on the fuzzy parametrized soft sets and study their properties. We also give a decision making method based on these relations. In approximate reasoning, relations on the fuzzy parametrized soft sets…

Logic · Mathematics 2016-02-12 Irfan Deli , Naim Çağman

We consider adjustable robust linear complementarity problems and extend the results of Biefel et al. (2022) towards convex and compact uncertainty sets. Moreover, for the case of polyhedral uncertainty sets, we prove that computing an…

Optimization and Control · Mathematics 2023-11-02 Christian Biefel , Martin Schmidt

We study the satisfiability problem for the fluted fragment extended with transitive relations. The logic enjoys the finite model property when only one transitive relation is available and the finite model property is lost when…

Logic in Computer Science · Computer Science 2024-05-22 Ian Pratt-Hartmann , Lidia Tendera

In this article, by using basic properties of fuzzy soft topology we defined fuzzy soft compactness. We also introduced some basic definitions and theorems of the concept.

General Topology · Mathematics 2014-04-15 Ismail Osmanoglu , Deniz Tokat

In this paper we introduce some families of fuzzy L-systems and investigate their properties. We further discuss the relationship between fuzzy L languages and the fuzzy languages generated by fuzzy grammar proposed in Ref.[3,5]. A measure…

Logic · Mathematics 2007-05-23 Zu-Guo Yu

This work provides a necessary and sufficient condition for the isomorphism of two fuzzy subspaces in terms of their dimensions.

General Topology · Mathematics 2025-08-06 Iffat Jahan

We construct an explicit combinatorial model of the functor which adds right adjoints to the morphisms of an $\infty$-category, and we speculate on possible extensions to higher dimensions.

Category Theory · Mathematics 2025-10-08 Lorenzo Riva , Martina Rovelli

Dynamical linked cluster expansions are linked cluster expansions with hopping parameter terms endowed with their own dynamics. They amount to a generalization of series expansions from 2-point to point-link-point interactions. We outline…

High Energy Physics - Lattice · Physics 2009-10-31 H. Meyer-Ortmanns , T. Reisz

The aim of this article is to generalize logics of formal inconsistency ($\textbf{LFI}$s) to systems dealing with the concept of incompatibility, expressed by means of a binary connective. The basic idea is that having two incompatible…

Logic · Mathematics 2022-02-23 Marcelo Esteban Coniglio , Guilherme Vicentin de Toledo

New relations among the mixture direct correlation function integrals (or fluctuation integrals) in terms of concentration variables are developed. These relations indicate that, for example, for a binary mixture only one of the three…

Statistical Mechanics · Physics 2018-11-22 L. Lepori , E. Matteoli , E. Z. Hamad , G. A. Mansoori

Following the definition of intuitionistic fuzzy n-norm [ 3 ], we have introduced the definition of intuitionistic fuzzy norm (in short IFN) over a linear space and there after a few results on intuitionistic fuzzy normed linear space and…

General Mathematics · Mathematics 2015-03-13 T. K. Samanta , Iqbal H. Jebril

In this paper, concept of fuzzy continuous operator, fuzzy bounded linear operator are introduced in fuzzy strong $\phi$-b-normed linear spaces and their relations are studied. Idea of operator fuzzy norm is developed and completeness of…

General Mathematics · Mathematics 2023-02-22 Abhishikta Das , T. Bag

A model to represent spatial information is presented in this paper. It is based on fuzzy constraints represented as fuzzy geometric relations that can be hierarchically structured. The concept of spatial template is introduced to capture…

Artificial Intelligence · Computer Science 2013-02-28 Stephane Lapointe , Rene Proulx

In this paper, we define irregular bipolar fuzzy graphs and its various classifications. Size of regular bipolar fuzzy graphs is derived. The relation between highly and neighbourly irregular bipolar fuzzy graphs are established. Some basic…

Discrete Mathematics · Computer Science 2012-09-11 Sovan Samanta , Madhumangal Pal