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The starting point of this paper is the introduction of a new measure of inclusion of fuzzy set A in fuzzy set B. Previously used inclusion measures take values in the interval [0,1]; the inclusion measure proposed here takes values in a…

Other Computer Science · Computer Science 2011-11-09 Ath. Kehagias , M. Konstantinidou

The concept of a fuzzy number is generalized to the case of a finite carrier set of partially ordered elements, more precisely, a lattice, when a membership function also takes values in a partially ordered set (a lattice). Zadeh's…

Artificial Intelligence · Computer Science 2022-08-15 Dmitry Maximov

The fuzzy ROC extends Receiver Operating Curve (ROC) visualization to the situation where some data points, falling in an indeterminacy region, are not classified. It addresses two challenges: definition of sensitivity and specificity…

Other Statistics · Statistics 2019-03-06 Giovanni Parmigiani

This paper investigates fuzzy nonlinear system equations using an optimization approach. Here, the inner-outer direct search technique is used with fuzzy coefficients and vectors to quantify the uncertain solution. The fuzzy nonlinear…

Optimization and Control · Mathematics 2022-06-02 Paresh Kumar Panigrahi , Sukanta Nayak , Sudipta Priyadarshini

This paper proposes a new fuzzy assessing procedure with application in management decision making. The proposed fuzzy approach build the membership functions for system characteristics of a standby repairable system. This method is used to…

Artificial Intelligence · Computer Science 2017-07-07 Shoele Jamali , Mehrdad J. Bani

Multi-variable nonlinear fuzzy optimization problem is considered under linear order relation on fuzzy numbers. Using gH-differentiability of a fuzzy-valued function $\tilde{f}$, new necessary and sufficient optimality conditions are…

General Mathematics · Mathematics 2018-02-28 Umme Salma M. Pirzada

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

In this report, a new fuzzy 2bit-AND parallel-to-OR, or simply, a fuzzy binary AND/OR (FBAR) text data compression model as an algorithm is suggested for bettering spatial locality limits on nodes during database transactions. The current…

Information Theory · Computer Science 2015-03-13 Philip B. Alipour

A fuzzy mnesor space is a semimodule over the positive real numbers. It can be used as theoretical framework for fuzzy sets. Hence we can prove a great number of properties for fuzzy sets without refering to the membership functions.

Artificial Intelligence · Computer Science 2009-05-05 Gilles Champenois

We apply the Ordered Weighted Averaging (OWA) operator in multi-criteria decision-making. To satisfy different kinds of uncertainty, measure based dominance has been presented to gain the order of different criterion. However, this idea has…

Artificial Intelligence · Computer Science 2019-01-29 Yunjuan Wang , Yong Deng

In this paper, we generalize image (texture) statistical descriptors and propose algorithms that improve their efficacy. Recently, a new method showed how the popular Co-Occurrence Matrix (COM) can be modified into a fuzzy version (FCOM)…

Computer Vision and Pattern Recognition · Computer Science 2016-11-21 Guillaume Thibault , Izhak Shafran

Gradual numbers have been introduced recently as a means of extending standard interval computation methods to fuzzy intervals. The literature treats monotonic functions of fuzzy intervals. In this paper, we combine the concepts of gradual…

Optimization and Control · Mathematics 2007-12-20 Elizabeth Untiedt , Weldon Lodwick

Many state-of-the-art technologies developed in recent years have been influenced by machine learning to some extent. Most popular at the time of this writing are artificial intelligence methodologies that fall under the umbrella of deep…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Stanton R. Price , Steven R. Price , Derek T. Anderson

A new fuzzy method is developed using triangular/trapezoidal fuzzy numbers for evaluating a group's mean performance, when qualitative grades instead of numerical scores are used for assessing its members' individual performance. Also, a…

Artificial Intelligence · Computer Science 2020-11-24 Michael Voskoglou

Cluster analysis is widely used in the areas of machine learning and data mining. Fuzzy clustering is a particular method that considers that a data point can belong to more than one cluster. Fuzzy clustering helps obtain flexible clusters,…

Machine Learning · Computer Science 2018-06-06 Aybükë Oztürk , Stéphane Lallich , Jérôme Darmont

Statistical limits are defined relaxing conditions on conventional convergence. The main idea of the statistical convergence of a sequence l is that the majority of elements from l converge and we do not care what is going on with other…

Classical Analysis and ODEs · Mathematics 2008-03-31 Mark Burgin , Oktay Duman

Fuzzy relational identification builds a relational model describing systems behaviour by a nonlinear mapping between its variables. In this paper, we propose a new fuzzy relational algorithm based on simplified max-min relational equation.…

Robotics · Computer Science 2007-05-23 P. J. Costa Branco , J. A. Dente

Fuzzy numbers are commonly represented with fuzzy sets. Their objective is to better represent imprecise data. However, operations on fuzzy numbers are not as straightforward as maths on crisp numbers. Commonly, the Zadeh's extension rule…

Artificial Intelligence · Computer Science 2025-10-27 Krzysztof Siminski

Discrete fuzzy numbers, and in particular those defined over a finite chain $L_n = \{0, \ldots, n\}$, have been effectively employed to represent linguistic information within the framework of fuzzy systems. Research on total (admissible)…

Logic in Computer Science · Computer Science 2025-11-24 Arnau Mir , Alejandro Mus , Juan Vicente Riera

In the realm of data classification, broad learning system (BLS) has proven to be a potent tool that utilizes a layer-by-layer feed-forward neural network. However, the traditional BLS treats all samples as equally significant, which makes…

Machine Learning · Computer Science 2024-05-17 M. Sajid , A. K. Malik , M. Tanveer