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In this paper a knowledge representation model are proposed, FP5, which combine the ideas from fuzzy sets and penta-valued logic. FP5 represents imprecise properties whose accomplished degree is undefined, contradictory or indeterminate for…

Artificial Intelligence · Computer Science 2015-02-20 Vasile Patrascu

The approach of applying associative processor for decision making problem was proposed. It focuses on hardware implementations of fuzzy processing systems, associativity as effective management basis of fuzzy processor. The structural…

Hardware Architecture · Computer Science 2010-08-05 Isa Magomedov , Omar Khazamov

Since categories are graphs with additional "structure", one should start from fuzzy graphs in order to define a theory of fuzzy categories. Thus is makes sense to introduce categories whose morphisms are associated with a plausibility…

Logic in Computer Science · Computer Science 2014-10-07 Apostolos Syropoulos

In this paper, a new interval type-2 fuzzy neural network able to construct non-separable fuzzy rules with adaptive shapes is introduced. To reflect the uncertainty, the shape of fuzzy sets considered to be uncertain. Therefore, a new form…

Machine Learning · Computer Science 2021-12-22 Armin Salimi-Badr

Based on the concept of new type of statistical convergence defined by Aktuglu, we have introduced the weighted $\alpha\beta$ - statistical convergence of order $\theta$ in case of fuzzy functions and classified it into pointwise, uniform…

General Mathematics · Mathematics 2016-01-22 Sarita Ojha , P. D. Srivastava

Many engineering optimization problems can be considered as linear programming problems where all or some of the parameters involved are linguistic in nature. These can only be quantified using fuzzy sets. The aim of this paper is to solve…

Artificial Intelligence · Computer Science 2010-01-14 I. Elamvazuthi , T. Ganesan , P. Vasant , J. F. Webb

Recently, Wang et al. discussed the properties of fuzzy information systems under homomorphisms in the paper [C. Wang, D. Chen, L. Zhu, Homomorphisms between fuzzy information systems, Applied Mathematics Letters 22 (2009) 1045-1050], where…

Artificial Intelligence · Computer Science 2011-11-08 Ping Zhu , Qiaoyan Wen

In this paper, we are trying to examine trade offs between fuzzy logic and certain Bayesian networks and we propose to combine their respective advantages into fuzzy certain Bayesian networks (FCBN), a certain Bayesian networks of fuzzy…

Artificial Intelligence · Computer Science 2012-06-07 Abdelkader Heni , Mohamed Nazih Omri , Adel Alimi

The practice of stochastic sensitivity analysis described in the decision analysis literature is a testimonial to the need for considering deviations from precise point estimates of uncertainty. We propose the use of Bayesian fuzzy…

Artificial Intelligence · Computer Science 2013-04-10 Pramod Jain , Alice M. Agogino

In this paper, I obtain an $S$-type fuzzy point when two fuzzy numbers for two independent variables and a corresponding fuzzy number for the dependent variable are given. A comprehensive study on a conceptualization of a fuzzy plane as a…

General Mathematics · Mathematics 2024-03-20 Diksha Gupta

A new fuzzy optimization framework that extends FCM causality is proposed. This model utilizes the dynamics to map data into metrics and create a framework that examines logical implication and hierarchy of concepts using a multiplex.…

Artificial Intelligence · Computer Science 2025-12-12 Alexis Kafantaris

Modeling human ratings data subject to raters' decision uncertainty is an attractive problem in applied statistics. In view of the complex interplay between emotion and decision making in rating processes, final raters' choices seldom…

Applications · Statistics 2021-05-21 Antonio Calcagnì , Luigi Lombardi

This paper mainly focuses on (1) a generalized treatment of fuzzy sets of type $n$, where $n$ is an integer larger than or equal to $1$, with an example, mathematical discussions, and real-life interpretation of the given mathematical…

Artificial Intelligence · Computer Science 2022-10-04 Anahita Jamshidnejad

In this paper, we study composite mapping on hesitant fuzzy soft classes. We also establish some interesting properties of this notion and support them with examples. Also definitions of fuzzy soft image and fuzzy soft inverse image put…

General Mathematics · Mathematics 2016-05-05 Manash Jyoti Borah , Bipan Hazarika

The treatment of both aleatory and epistemic uncertainty by recent methods often requires an high computational effort. In this abstract, we propose a numerical sampling method allowing to lighten the computational burden of treating the…

Artificial Intelligence · Computer Science 2007-12-14 Eric Chojnacki , Jean Baccou , Sébastien Destercke

We explore the implications of using fuzzy techniques (mainly those commonly used in the linguistic description/summarization of data discipline) from a natural language generation perspective. For this, we provide an extensive discussion…

Artificial Intelligence · Computer Science 2016-05-18 A. Ramos-Soto , A. Bugarín , S. Barro

The Price equation provides a formal account of selection building on a right-total mapping between two classes of individuals, that is usually interpreted as a parent-offspring relation. This paper presents a new formulation of the Price…

Populations and Evolution · Quantitative Biology 2025-03-19 Matthias Borgstede

We introduce a general theory of epistemic random fuzzy sets for reasoning with fuzzy or crisp evidence. This framework generalizes both the Dempster-Shafer theory of belief functions, and possibility theory. Independent epistemic random…

Artificial Intelligence · Computer Science 2024-05-08 Thierry Denoeux

In this paper we prove that Neutrosophic Set (NS) is an extension of Intuitionistic Fuzzy Set (IFS) no matter if the sum of single-valued neutrosophic components is < 1, or > 1, or = 1. For the case when the sum of components is 1 (as in…

General Mathematics · Mathematics 2019-12-03 Florentin Smarandache

We outline the main ideas behind the numerical modelling of soft-flowing crystals, with special attention to their application to microfluidic devices for the design of novel mesoscale porous materials.

Computational Physics · Physics 2019-03-06 Andrea Montessori , Marco Lauricella , Sauro Succi