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In this paper defuzzification method of WABL is investigated, its properties are analyzed. The WABL method is applied to some fuzzy models. The package of applied programs is worked out on the base of proposed algorithms. The obtained in…

Logic · Mathematics 2008-11-25 Shikhlinskaya R. Y.

This paper provides an in-depth review of the optimal design of type-1 and type-2 fuzzy inference systems (FIS) using five well known computational frameworks: genetic-fuzzy systems (GFS), neuro-fuzzy systems (NFS), hierarchical fuzzy…

Artificial Intelligence · Computer Science 2019-08-28 Varun Ojha , Ajith Abraham , Vaclav Snasel

We present a clausal resolution-based method for normal multimodal logics of confluence, whose Kripke semantics are based on frames characterised by appropriate instances of the Church-Rosser property. Here we restrict attention to eight…

Logic in Computer Science · Computer Science 2014-08-20 Cláudia Nalon , João Marcos , Clare Dixon

We develop an analytical approach to scalar field theory on the fuzzy sphere based on considering a perturbative expansion of the kinetic term. This expansion allows us to integrate out the angular degrees of freedom in the hermitian…

High Energy Physics - Theory · Physics 2009-11-18 Denjoe O'Connor , Christian Saemann

In this article, we describe the fuzzy logic, fuzzy language and algorithms as the basis of fuzzy reasoning, one of the intelligent information processing method, and then describe the general fuzzy reasoning method.

Artificial Intelligence · Computer Science 2016-04-13 Kwak Son Il

We provide a rigorous framework for handling uncertainty in quantitative fault tree analysis based on fuzzy theory. We show that any algorithm for fault tree unreliability analysis can be adapted to this framework in a fully general and…

General Mathematics · Mathematics 2026-01-29 Thi Kim Nhung Dang , Benedikt Peterseim , Milan Lopuhaä-Zwakenberg , Mariëlle Stoelinga

We employ a fuzzy optimality condition for the Frechet subdifferential and some advanced techniques of variational analysis such as formulae for the subdifferentials of an infinite family of nonsmooth functions and the coderivative…

Optimization and Control · Mathematics 2022-11-16 Maryam Saadati , Morteza Oveisiha

On this thesis we present the fuzzy sets, fuzzy numbers, the fractional derivative and also we discuss the solution of the first order of fuzzy hybrid equation.

General Mathematics · Mathematics 2021-09-17 Aziz Elghazouani

In this paper we develop a geometric approach to convex subdifferential calculus in finite dimensions with employing some ideas of modern variational analysis. This approach allows us to obtain natural and rather easy proofs of basic…

Optimization and Control · Mathematics 2015-10-06 Boris Mordukhovich , Nguyen Mau Nam

We propose a unified diffusion model-based correction and super-resolution method to enhance the fidelity and resolution of diverse low-quality data through a two-step pipeline. First, the correction step employs a novel enhanced stochastic…

Numerical Analysis · Mathematics 2025-05-15 Wuzhe Xu , Yulong Lu , Sifan Wang , Tong-Rui Liu

Within the possibilistic approach to uncertainty modeling, the paper presents a modal logical system to reason about qualitative (comparative) statements of the possibility (and necessity) of fuzzy propositions. We relate this qualitative…

Logic in Computer Science · Computer Science 2013-02-28 Petr Hajek , Dagmar Harmancová , Francesc Esteva , Pere Garcia , Lluis Godo

In dealing with veracity of data analytics, fuzzy methods are more and more relying on probabilistic and statistical techniques to underpin their applicability. Conversely, standard statistical models usually disregard to take into account…

Statistics Theory · Mathematics 2019-12-23 Elvira Di Nardo , Rosaria Simone

We present a logical framework to represent and reason about fuzzy optimization problems based on fuzzy answer set optimization programming. This is accomplished by allowing fuzzy optimization aggregates, e.g., minimum and maximum in the…

Artificial Intelligence · Computer Science 2013-04-10 Emad Saad

Fuzzy logic has been proposed in previous studies for machine diagnosis, to overcome different drawbacks of the traditional diagnostic approaches used. Among these approaches Failure Mode and Effect Critical Analysis method(FMECA) attempts…

Artificial Intelligence · Computer Science 2022-12-27 Abdelouadoud Kerarmi , Assia Kamal-idrissi , Amal El Fallah Seghrouchni

The article is dedicated to the analysis of the existing models for assessment based of the fuzzy logic centroid technique. A new Generalized Rectangular Model were developed. Some generalizations of the existing models are offered.

Artificial Intelligence · Computer Science 2015-01-26 Igor Yakov Subbotin

A prominent problem in knowledge representation is how to answer queries taking into account also the implicit consequences of an ontology representing domain knowledge. While this problem has been widely studied within the realm of…

Artificial Intelligence · Computer Science 2021-11-24 Gabriella Pasi , Rafael Peñaloza

Systems of fuzzy relation equations and inequalities in which an unknown fuzzy relation is on the one side of the equation or inequality are linear systems. They are the most studied ones, and a vast literature on linear systems focuses on…

Artificial Intelligence · Computer Science 2022-06-03 Stefan Stanimirovic , Ivana Micic

New types of systems of fuzzy relation inequalities and equations, called weakly linear, have been recently introduced in [J. Ignjatovi\'c, M. \'Ciri\'c, S. Bogdanovi\'c, On the greatest solutions to weakly linear systems of fuzzy relation…

Design of a fuzzy rule based classifier is proposed. The performance of the classifier for multispectral satellite image classification is improved using Dempster- Shafer theory of evidence that exploits information of the neighboring…

Computer Vision and Pattern Recognition · Computer Science 2011-04-11 Arijit Laha , J. Das

Challenges in multi-fidelity modeling relate to accuracy, uncertainty estimation and high-dimensionality. A novel additive structure is introduced in which the highest fidelity solution is written as a sum of the lowest fidelity solution…

Machine Learning · Computer Science 2021-04-09 Wei W. Xing , Akeel A. Shah , Peng Wang , Shandian Zhe Qian Fu , Robert. M. Kirby