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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

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

This paper further studies the fuzzy rough sets based on fuzzy coverings. We first present the notions of the lower and upper approximation operators based on fuzzy coverings and derive their basic properties. To facilitate the computation…

Information Theory · Computer Science 2013-04-02 Guangming Lang , Qingguo Li , Lankun Guo

The basic aim of our study is to give a possible model for handling uncertain information. This model is worked out in the framework of DATALOG. At first the concept of fuzzy Datalog will be summarized, then its extensions for…

Artificial Intelligence · Computer Science 2010-04-08 Agnes Achs

A review is presented of the correspondence existing in both classical bivalent logic (BL) and canonical fuzzy logic (CFL) between each law or tautology in propositional calculus and a law in set theory. The latter law consists of the…

General Mathematics · Mathematics 2023-03-13 Osvaldo Skliar , Sherry Gapper , Ricardo E. Monge

We look at the problem of revising fuzzy belief bases, i.e., belief base revision in which both formulas in the base as well as revision-input formulas can come attached with varying truth-degrees. Working within a very general framework…

Artificial Intelligence · Computer Science 2012-12-12 Richard Booth , Eva Richter

The study of fuzzy fractional variational problems in terms of a fractional Liouville-Caputo derivative is introduced. Necessary optimality conditions for problems of the fuzzy fractional calculus of variations with free end-points are…

Optimization and Control · Mathematics 2016-12-26 O. S. Fard , R. Almeida , J. Soolaki , A. H. Borzabadi

Pythagorean fuzzy sets provide stronger ability than intuitionistic fuzzy sets to model uncertainty information and knowledge, but little effort has been paid to conflict analysis of Pythagorean fuzzy information systems. In this paper, we…

Artificial Intelligence · Computer Science 2017-07-13 Guangming Lang

This work establishes the relaxation limit from the bipolar Euler-Poisson system to the bipolar drift-diffusion system, for data so that the latter has a smooth solution. A relative energy identity is developed for the bipolar fluid system…

Analysis of PDEs · Mathematics 2024-04-16 Nuno J. Alves , Athanasios E. Tzavaras

In this article, a functional equation(IE) involving fuzzy implications has been considered. Two different perspectives of this equation have been provided to realize its significance. As it is very difficult to find the solutions of (IE)…

General Mathematics · Mathematics 2021-01-01 Nageswara Rao Vemuri

To integrate hydrodynamic fluctuations, namely thermal fluctuations of hydrodynamics, into dynamical models of high-energy nuclear collisions based on relativistic hydrodynamics, the property of the hydrodynamic fluctuations given by the…

Nuclear Theory · Physics 2019-10-29 Koichi Murase

In this paper, we introduce a fundamental framework to create a bridge between Probability Theory and Fuzzy Logic. Indeed, our theory formulates a random experiment of selecting crisp elements with the criterion of having a certain fuzzy…

Logic in Computer Science · Computer Science 2022-05-31 Amir Saki , Usef Faghihi

Description logics (DLs) are a suitable formalism for representing knowledge about domains in which objects are described not only by attributes but also by binary relations between objects. Fuzzy extensions of DLs can be used for such…

Logic in Computer Science · Computer Science 2020-08-10 Linh Anh Nguyen , Quang-Thuy Ha , Ngoc Thanh Nguyen , Thi Hong Khanh Nguyen , Thanh-Luong Tran

This article deals with the complexity involved in fuzzy derivatives when both input and output are from nonempty, convex, and compact fuzzy space. Consider a fuzzy valued mapping, and for fuzzy differentiation of fuzzy valued function, we…

General Mathematics · Mathematics 2023-08-23 Purnima Pandit , Payal Singh

Fuzziness in databases is used to denote uncertain or incomplete data. Relational Databases stress on the nature of the data to be certain. This certainty based data is used as the basis of the normalization approach designed for…

Databases · Computer Science 2014-03-13 Deepa S

In this paper, we introduce a type of latticized optimization problem whose objective function is the maximum component function and the feasible region is defined as a system of fuzzy relational equalities (FRE) defined by the Dombi…

General Mathematics · Mathematics 2022-07-18 Amin Ghodousian , Sara Zal

In this article, we introduce a differentiability concept for fuzzy functions $\tilde{f}: F(\mathbb{R}) \to F(\mathbb{R})$, where $F(\mathbb{R})$ is the set of all fuzzy numbers. With the help of the proposed differentiability notion, we…

Optimization and Control · Mathematics 2019-10-08 U. M. Pirzada , Debdas Ghosh

The rough-set theory proposed by Pawlak, has been widely used in dealing with data classification problems. The original rough-set model is, however, quite sensitive to noisy data. Tzung thus proposed deals with the problem of producing a…

Data Structures and Algorithms · Computer Science 2012-04-09 Ali Soltan Mohammadi , L. Asadzadeh , D. D. Rezaee

This research concerns the estimation of latent linear or polychoric correlations from fuzzy frequency tables. Fuzzy counts are of particular interest to many disciplines including social and behavioral sciences, and are especially relevant…

Methodology · Statistics 2022-11-22 Antonio Calcagnì

Regression problems have been more and more embraced by deep learning (DL) techniques. The increasing number of papers recently published in this domain, including surveys and reviews, shows that deep regression has captured the attention…

Machine Learning · Computer Science 2022-09-12 Jorge S. S. Júnior , Jérôme Mendes , Francisco Souza , Cristiano Premebida