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An orthogonal approach to the fuzzification of both multisets and hybrid sets is presented. In particular, we introduce L-multi-fuzzy and L-fuzzy hybrid sets, which are general enough and in spirit with the basic concepts of fuzzy set…

Logic in Computer Science · Computer Science 2012-08-14 Apostolos Syropoulos

Physics-informed neural networks (PiNNs) recently emerged as a powerful solver for a large class of partial differential equations under various initial and boundary conditions. In this paper, we propose trapz-PiNNs, physics-informed neural…

Computational Physics · Physics 2023-04-19 Senbao Jiang , Xiaofan Li

We introduce a simple, rigorous, and unified framework for solving nonlinear partial differential equations (PDEs), and for solving inverse problems (IPs) involving the identification of parameters in PDEs, using the framework of Gaussian…

Numerical Analysis · Mathematics 2021-08-12 Yifan Chen , Bamdad Hosseini , Houman Owhadi , Andrew M Stuart

Trustworthiness especially for service oriented system is very important topic now a day in IT field of the whole world. Certain Trust Model depends on some certain values given by experts and developers. Here, main parameters for…

Cryptography and Security · Computer Science 2013-03-05 Kawser Wazed Nafi , Tonny Shekha kar , Amjad Hossain , M. M. A Hashem

The research presents epsilon hierarchical fuzzy twin support vector regression based on epsilon fuzzy twin support vector regression and epsilon twin support vector regression. Epsilon FTSVR is achieved by incorporating trapezoidal fuzzy…

Artificial Intelligence · Computer Science 2015-09-11 Arindam Chaudhuri

Approaches based on computing with words find good applicability in decision making systems. Predominantly finding their basis in type-1 fuzzy sets, computing with words approaches employ type-1 fuzzy sets as semantics of the linguistic…

Artificial Intelligence · Computer Science 2020-02-28 Taniya Seth , Pranab K. Muhuri

In case of decision making problems, classification of pattern is a complex and crucial task. Pattern classification using multilayer perceptron (MLP) trained with back propagation learning becomes much complex with increase in number of…

Neural and Evolutionary Computing · Computer Science 2016-01-15 Tirtharaj Dash , H. S. Behera

Rule-based models are essential for high-stakes decision-making due to their transparency and interpretability, but their discrete nature creates challenges for optimization and scalability. In this work, we present the Fuzzy Rule-based…

Machine Learning · Computer Science 2025-09-25 Javier Fumanal-Idocin , Raquel Fernandez-Peralta , Javier Andreu-Perez

In practice, a ranking of objects with respect to given set of criteria is of considerable importance. However, due to lack of knowledge, information of time pressure, decision makers might not be able to provide a (crisp) ranking of…

Artificial Intelligence · Computer Science 2017-03-16 Jiří Mazurek

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

We solve the fuzzy linear systems in a fuzzy number space $\mathcal{X}$, namely the Gaussian probability density membership function (Gaussian-PDMF) space. The fuzzy linear systems include two types: the semi-fuzzy linear system (SFLS) and…

General Mathematics · Mathematics 2025-12-12 Chuang Zheng

In this paper, an optimization model with a linear objective function subjected to a system of fuzzy relation equations (FRE) is studied where the feasible region is defined by the Dombi t-norm. Dombi family of t-norms includes a parametric…

General Mathematics · Mathematics 2022-07-14 Amin Ghodousian , Sara Zal

In several research areas, ratings data and response times have been successfully used to unfold the stage-wise process through which human raters provide their responses to questionnaires and social surveys. A limitation of the standard…

Applications · Statistics 2022-03-24 Niccolò Cao , Antonio Calcagnì

Considering the high volume, wide variety, and rapid speed of data generation, investigating feature selection methods for big data presents various applications and advantages. By removing irrelevant and redundant features, feature…

Machine Learning · Computer Science 2026-03-12 Mohammad Hossein Safarpour , Seyed Majid Alavi , Mohammad Izadikhah , Hossein Dibachi

This paper compares various optimization methods for fuzzy inference system optimization. The optimization methods compared are genetic algorithm, particle swarm optimization and simulated annealing. When these techniques were implemented…

Artificial Intelligence · Computer Science 2011-10-18 Pretesh Patel , Tshilidzi Marwala

This paper seeks an efficient algorithm for stochastic precoding to maximize the long-term average weighted sum rates throughout a multiple-input multiple-output (MIMO) network. Unlike many existing works that assume a particular…

Information Theory · Computer Science 2026-03-10 Wenyu Wang , Kaiming Shen

Most existing fuzzy set methods use points as their input, which is the finest granularity from the perspective of granular computing. Consequently, these methods are neither efficient nor robust to label noise. Therefore, we propose a…

Machine Learning · Computer Science 2022-11-29 Shuyin Xia , Xiaoyu Lian , Guoyin Wang , Xinbo Gao , Yabin Shao

Clustering is an extensive research area in data science. The aim of clustering is to discover groups and to identify interesting patterns in datasets. Crisp (hard) clustering considers that each data point belongs to one and only one…

Machine Learning · Computer Science 2018-08-02 Aybükë Oztürk , Stéphane Lallich , Jérôme Darmont , Sylvie Yona Waksman

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

The problem of adaptive learning from evolving and possibly non-stationary data streams has attracted a lot of interest in machine learning in the recent past, and also stimulated research in related fields, such as computational…

Machine Learning · Computer Science 2019-11-12 Ammar Shaker , Eyke Hüllermeier