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This paper shows a novel fuzzy approximate reasoning method based on the least common multiple (LCM). Its fundamental idea is to obtain a new fuzzy reasoning result by the extended distance measure based on LCM between the antecedent fuzzy…

Artificial Intelligence · Computer Science 2020-10-13 I. M. Son , S. I. Kwak , M. O. Choe

This paper presents a generalized flux-corrected transport (FCT) algorithm, which is shown to be total variation diminishing under some conditions. The new algorithm has improved properties from the standpoint of use and analysis. Results…

Computational Physics · Physics 2024-11-20 William J Rider , Dennis R Liles

Several research initiatives have been proposed for computing similarity between two Fuzzy Sets in analysis through Fuzzy Rough Sets. These techniques yield two measures viz. lower similarity and upper similarity. While in most applications…

Artificial Intelligence · Computer Science 2021-07-05 Nidhika Yadav

We study self-referential sentences of the type related to the Liar paradox. In particular, we consider the problem of assigning consistent fuzzy truth values to collections of self-referential sentences. We show that the problem can be…

Logic in Computer Science · Computer Science 2011-11-09 K. Vezerides , Ath. Kehagias

The authors in \cite{alikhani} have given two examples to illustrate their results in which they have been eliminated the technical details. However, the authors in \cite{salahshur} claimed that the examples are incorrect. In fact they…

Classical Analysis and ODEs · Mathematics 2014-12-11 R. Alikhani , F. Bahrami

Methods for analyzing or learning from "fuzzy data" have attracted increasing attention in recent years. In many cases, however, existing methods (for precise, non-fuzzy data) are extended to the fuzzy case in an ad-hoc manner, and without…

Machine Learning · Computer Science 2017-10-10 Eyke Hüllermeier

This paper presents an original method of fuzzy approximate reasoning that can open a new direction of research in the uncertainty inference of Artificial Intelligence(AI) and Computational Intelligence(CI). Fuzzy modus ponens (FMP) and…

Artificial Intelligence · Computer Science 2020-03-31 I. M. Son , S. I. Kwak , U. J. Han , J. H. Pak , M. Han , J. R. Pyon , U. S. Ryu

In this correspondence, it is given a correction to Theorem 4 in Y. Hu, and G. Xiao, "Generalized Self-Shrinking Generator," IEEE Transactions on Information Theory, vol. 50, No. 4, pp. 714-719, April 2004.

Discrete Mathematics · Computer Science 2010-06-08 Amparo Fúster-Sabater

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 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

In this paper, some points to the convergence analysis performed in the paper [A new computing approach for power signal modeling using fractional adaptive algorithms, ISA Transactions 68 (2017) 189-202] are presented. It is highlighted…

Optimization and Control · Mathematics 2020-03-24 Abdul Wahab , Shujaat Khan , Farrukh Zeeshan Khan

A major aspect of human reasoning involves the use of approximations. Particularly in situations where the decision-making process is under stringent time constraints, decisions are based largely on approximate, qualitative assessments of…

Artificial Intelligence · Computer Science 2013-04-11 Stephen Chiu , Masaki Togai

Determining the reliability of evidence sources is a crucial topic in Dempster-Shafer theory (DST). Previous approaches have addressed high conflicts between evidence sources using discounting methods, but these methods may not ensure the…

Artificial Intelligence · Computer Science 2024-11-05 Juntao Xu , Tianxiang Zhan , Yong Deng

To strengthen the effectiveness of approximate reasoning in fuzzy modus ponens (FMP) and fuzzy modus tollens (FMT) problems, three approximate reasoning schemes with aggregation functions are developed and their validity is respectively…

Logic · Mathematics 2021-12-23 Dechao Li , Qingxue Zeng

Rule mining algorithms are one of the fundamental techniques in data mining for disclosing significant patterns in terms of linguistic rules expressed in natural language. In this paper, we revisit the concept of fuzzy implicative rule to…

Logic in Computer Science · Computer Science 2025-10-07 Raquel Fernandez-Peralta

This review article was first published in 2008 as chapter 11 in the book "Fast Fourier Transforms," edited by C. S. Burrus, for the Connexions project at Rice University, which is sadly no longer online. It gives a high-level overview of…

Numerical Analysis · Mathematics 2026-03-02 Steven G. Johnson , Matteo Frigo

This research will present a hybrid approach to accelerate convergence in a second order optimization. An online finite difference approximation of the diagonal Hessian matrix will be introduced, along with fuzzy inferencing of several…

Machine Learning · Computer Science 2024-03-26 Abdelaziz Bensadok , Muhammad Zeeshan Babar

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

This paper exemplifies the implementation of an efficient Information Retrieval (IR) System to compute the similarity between a dataset and a query using Fuzzy Logic. TREC dataset has been used for the same purpose. The dataset is parsed to…

Information Retrieval · Computer Science 2015-05-15 Prabhjot Singh , Sumit Dhawan , Shubham Agarwal , Narina Thakur

Understanding, modelling and predicting human risky decision-making is challenging due to intrinsic individual differences and irrationality. Fuzzy trace theory (FTT) is a powerful paradigm that explains human decision-making by…

Computation and Language · Computer Science 2022-08-09 Jaron Mar , Jiamou Liu
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