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In this paper, a new kind of soft sets related with some common decision making problems in real life called central soft sets is introduced. Properties of some basic operations on central soft sets are shown. It is investigated that some…

Logic in Computer Science · Computer Science 2015-06-10 Xuechong Guan

We define the Pythagorean fuzzy parameterized soft set and investigate some properties of the new set. Further, we propose to the solution of decision-making application for the Pythagorean fuzzy parameterized soft set and other related…

General Mathematics · Mathematics 2019-04-09 Murat Kirişci

Many mathematical models utilize limit processes. Continuous functions and the calculus, differential equations and topology, all are based on limits and continuity. However, when we perform measurements and computations, we can achieve…

Artificial Intelligence · Computer Science 2025-10-20 Mark Burgin

Evolving fuzzy systems build and adapt fuzzy models - such as predictors and controllers - by incrementally updating their rule-base structure from data streams. On the occasion of the 60-year anniversary of fuzzy set theory, commemorated…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Daniel Leite , Igor Škrjanc , Fernando Gomide

This paper proposes two kinds of fuzzy abductive inference in the framework of fuzzy rule base. The abductive inference processes described here depend on the semantic of the rule. We distinguish two classes of interpretation of a fuzzy…

Artificial Intelligence · Computer Science 2007-05-23 Nedra Mellouli , Bernadette Bouchon-Meunier

We introduce the concept of a fuzzy aura topological space $(X, \tilde{\tau}, \tilde{a})$, obtained by equipping a Chang-type fuzzy topological space $(X, \tilde{\tau})$ with a fuzzy scope function $\tilde{a} : X \to \tilde{\tau}$…

General Topology · Mathematics 2026-02-17 Açıkgöz

Reliable corner detection is an important task in determining the shape of different regions within an image. Real-life image data are always imprecise due to inherent uncertainties that may arise from the imaging process such as…

Computer Vision and Pattern Recognition · Computer Science 2014-05-22 Erik Cuevas , Daniel Zaldivar , Marco Perez , Edgar Sanchez , Marte Ramirez

This article aims to introduce the broad field of soft active matter physics and its relevance to the life sciences in simple, accessible language. Although this area of research is relatively new, it has already demonstrated significant…

Soft Condensed Matter · Physics 2026-04-14 Nitin Kumar

The main objective of this paper is to develop a new semantic Network structure, based on the fuzzy sets theory, used in Artificial Intelligent system in order to provide effective on-line assistance to users of new technological systems.…

Artificial Intelligence · Computer Science 2012-06-07 Mohamed Nazih Omri , Mohamed Ali Mahjoub

Generally any real-world problem is not always solvable, because in that not only a percentage of uncertainty is present, but also, a certain percentage of indeterminacy is present. The presence of uncertainty has been analyzed using fuzzy…

General Mathematics · Mathematics 2007-05-23 W. B. Vasantha Kandasamy , Florentin Smarandache , K. Ilanthenral

With the desire to apply the Dempster-Shafer theory to complex real world problems where the evidential strength is often imprecise and vague, several attempts have been made to generalize the theory. However, the important concept in the…

Artificial Intelligence · Computer Science 2013-04-10 John Yen

Fuzziness and randomicity widespread exist in natural science, engineering, technology and social science. The purpose of this paper is to present a new logic - uncertain propositional logic which can deal with both fuzziness by taking…

Logic · Mathematics 2015-06-11 Maokang Luo , Wei He

Theory of operators generated by binary fuzzy relations is highly increasing for its nature and applicability. The main goal of the paper is to present several representation theorems for operators induced by fuzzy relations (for example…

Logic · Mathematics 2014-06-10 Michal Botur

Computability theorists have introduced multiple hierarchies to measure the complexity of sets of natural numbers. The Kleene Hierarchy classifies sets according to the first-order complexity of their defining formulas. The Ershov Hierarchy…

Logic · Mathematics 2021-10-07 Nikolay Bazhenov , Manat Mustafa , Sergei Ospichev , Luca San Mauro

This paper proposes the meeting of fuzzy logic with paraconsistency in a very precise and foundational way. Specifically, in this paper we introduce expansions of the fuzzy logic MTL by means of primitive operators for consistency and…

Logic · Mathematics 2021-03-15 Marcelo Coniglio , Francesc Esteva , Lluís Godo

Cabrelli, Forte, Molter and Vrscay in 1992 considered a {fuzzy} version of the theory of iterated function systems (IFSs in short) and their fractals%The idea was to extend the classical Hutchinson-Barnsley operator to selfmaps of a metric…

Dynamical Systems · Mathematics 2016-10-17 Elismar R. Oliveira , Filip Strobin

Transportation Problem is an important aspect which has been widely studied in Operations Research domain. It has been studied to simulate different real life problems. In particular, application of this Problem in NP- Hard Problems has a…

Artificial Intelligence · Computer Science 2013-07-09 Arindam Chaudhuri , Kajal De

This paper describes application of information granulation theory, on the design of rock engineering flowcharts. Firstly, an overall flowchart, based on information granulation theory has been highlighted. Information granulation theory,…

Artificial Intelligence · Computer Science 2014-07-29 H. Owladeghaffari

A teacher's knowledge base consists of knowledge of mathematics content, knowledge of student epistemology, and pedagogical knowledge. It has severe implications on the understanding of student's knowledge of content, and the learning…

Artificial Intelligence · Computer Science 2024-04-17 A Mani

The new concept of fuzzy interval matrices has been introduced in this book for the first time. The authors have not only introduced the notion of fuzzy interval matrices, interval neutrosophic matrices and fuzzy neutrosophic interval…

General Mathematics · Mathematics 2007-05-23 W. B. Vasantha Kandasamy , Florentin Smarandache