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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.

泛函分析 · 数学 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.…

一般拓扑 · 数学 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…

微分几何 · 数学 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…

一般拓扑 · 数学 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…

计算工程、金融与科学 · 计算机科学 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…

高能物理 - 理论 · 物理学 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…

逻辑 · 数学 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…

最优化与控制 · 数学 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…

计算机科学中的逻辑 · 计算机科学 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.

一般拓扑 · 数学 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…

逻辑 · 数学 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.

一般拓扑 · 数学 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.

范畴论 · 数学 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…

高能物理 - 格点 · 物理学 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…

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…

统计力学 · 物理学 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…

综合数学 · 数学 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…

综合数学 · 数学 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…

人工智能 · 计算机科学 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…

离散数学 · 计算机科学 2012-09-11 Sovan Samanta , Madhumangal Pal