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The superiority and inferiority ranking (SIR) method is a generation of the well-known PROMETHEE method, which can be more efficient to deal with multi-criterion decision making (MCDM) problem. Intuitionistic fuzzy sets (IFSs), as an…

Artificial Intelligence · Computer Science 2011-07-07 Junyi Chai , James N. K. Liu

We develop a theory of modulus sheaves with transfers, which generalizes Voevodsky's theory of sheaves with transfers. This paper and its sequel are foundational for the theory of motives with modulus, which is developed in [KMSY20].

Algebraic Geometry · Mathematics 2024-04-17 Bruno Kahn , Hiroyasu Miyazaki , Shuji Saito , Takao Yamazaki

In this paper, we present the fuzzy monoids and vague monoids by using aggregation operators. The unit interval with a $t$-norm or a $t$-conorm is a special monoid, so we mainly talk about fuzzy subsets of monoids. Firstly, the…

General Mathematics · Mathematics 2022-05-23 Wei Li , Haohao Wang , Yuanhao Liu , Bin Yang

We introduce the notion of Mal'tsev reflection which allows us to set up a partial notion of Mal'tsevness with respect to a class $\Sigma$ of split epimorphisms stable under pullback and containing the isomorphisms, and we investigate what…

Category Theory · Mathematics 2024-08-30 Dominique Bourn

This paper introduces an indirect adaptive fuzzy model predictive control strategy for a nonlinear rotational inverted pendulum with model uncertainties. In the first stage, a nonlinear prediction model is provided based on the fuzzy sets,…

Optimization and Control · Mathematics 2019-03-20 Roja Eini , Sherif Abdelwahed

The real world is inherently uncertain, imprecise and vague. Soft set theory was firstly introduced by Molodtsov in 1999 as a general mathematical tool for dealing with uncertainties, not clearly defined objects. A soft set consists of two…

General Mathematics · Mathematics 2014-12-18 Rıdvan Şahin

The paper aims to develop a framework for coalgebraic fuzzy geometric logic by adding modalities to the language of fuzzy geometric logic. Using the methods of coalgebra, the modal operators are introduced in the language of fuzzy geometric…

Logic in Computer Science · Computer Science 2022-09-08 Litan Kumar Das , Kumar Sankar Ray , Prakash Chandra Mali

Molodtsov initiated the concept of soft sets in Molodtsov D. Maji et al. defined some operations on soft sets in Maji P. K., Bismas R., Roy A. R. The concept of soft topological space was introduced by some authors. In this paper, we…

General Topology · Mathematics 2014-03-13 Taha Yasin Ozturk , Sadi Bayramov

The notion of cosilting module was recently introduced as a generalization of the notion of cotilting module. In this paper, we give a characterization of (partial) cosilting modules in terms of two-term cosilting complexes. Moreover, we…

Representation Theory · Mathematics 2016-11-23 Flaviu Pop

This paper presents a modeling of intelligent sensors based on a representation of the sensor by services it uses or it proposes, and by its USer Operating Modes (USOMs). This modeling is used for the definition of the reactive layer of…

Instrumentation and Detectors · Physics 2009-04-24 Eric Benoit , Richard Dapoigny , Laurent Foulloy

This article provides a power series summability based Korovkin type approximation theorem for any fuzzy sequence of positive linear operators. Using the notion of fuzzy modulus of smoothness, we also derive an associated approximation…

General Mathematics · Mathematics 2022-02-07 Behar Baxhaku , Purshottam Narain Agrawal , Rahul Shukla

We show that there are infinitely many commensurability classes of pseudomodular groups, thus answering a question raised by Long and Reid. These are Fuchsian groups whose cusp set is all of the rationals but which are not commensurable to…

Geometric Topology · Mathematics 2018-04-18 Beicheng Lou , Ser Peow Tan , Anh Duc Vo

Approaches based on computing with words find good applicability in decision making systems. Predominantly finding their basis in type-1 fuzzy sets, computing with words approaches employ type-1 fuzzy sets as semantics of the linguistic…

Artificial Intelligence · Computer Science 2020-02-28 Taniya Seth , Pranab K. Muhuri

In this paper we establish a link between fuzzy and preferential semantics for description logics and Self-Organising Maps, which have been proposed as possible candidates to explain the psychological mechanisms underlying category…

Artificial Intelligence · Computer Science 2022-02-07 Laura Giordano , Valentina Gliozzi , Daniele Theseider Dupré

The submodule structure of general Specht modules in prime characteristic is a difficult open problem. Kleshchev and Sheth [Journal of Algebra, 221(2), pp.705-722] gave a combinatorial description of the submodule structure of Specht…

Representation Theory · Mathematics 2024-05-10 Zain Ahmed Kapadia

In this article, I introduce the notion of Fuzzy-based Higher adaptive order sliding mode observers through the example of the super-twisting adaptive order sliding mode observer. I begin by presenting the super-twisting second order…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Mohamed Camil Belhadjoudja

We define the Cartesian product, composition, union and join on interval-valued fuzzy graphs and investigate some of their properties. We also introduce the notion of interval-valued fuzzy complete graphs and present some properties of self…

Discrete Mathematics · Computer Science 2015-01-27 Muhammad Akram , Wieslaw A. Dudek

In this paper, we introduce and study the class of generalized square-difference factor absorbing (gsdf-absorbing) submodules of modules over commutative rings. We provide various characterizations and properties of gsdf-absorbing…

Commutative Algebra · Mathematics 2026-04-08 Violeta Leoreanu-Fotea , Ece Yetkin Celikel , Tarik Arabaci , Unsal Tekir

Various correspondence between fuzzy h-ideals of a $\Gamma$-hemiring and fuzzy h-ideals of its operator hemirings are established and some of their characterizations are given using lattice structure and cartesian product.

General Mathematics · Mathematics 2011-12-25 S. K. Sardar , B. Davvaz , D. Mandal

The Fuzzy transform is ubiquitous in different research fields and applications, such as image and data compression, data mining, knowledge discovery, and the analysis of linguistic expressions. As a generalisation of the Fuzzy transform,…

Optimization and Control · Mathematics 2020-07-28 Giuseppe Patanè
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