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In this paper, a new concept, the fuzzy rate of an operator in linear spaces is proposed for the very first time. Some properties and basic principles of it are studied. Fuzzy rate of an operator $B$ which is specific in a plane is…

General Mathematics · Mathematics 2021-01-05 Yijin Zhang , Honggang Li , Maoming Jin , Zongbing Lin

In this paper, we propose the theory of fuzzy limit of fuzzy function depending on the Altai principle and using the representation theorem (resolution principle) to run the fuzzy arithmetic

General Mathematics · Mathematics 2019-02-07 Abdulhameed Qahtan Abbood Altai

Regression analysis is employed to examine and quantify the relationships between input variables and a dependent and continuous output variable. It is widely used for predictive modelling in fields such as finance, healthcare, and…

Machine Learning · Computer Science 2025-10-16 Ashish Bhatia , Renato Cordeiro de Amorim , Vito De Feo

Model checking of linear-time properties based on possibility measures was studied in previous work (Y. Li and L. Li, Model checking of linear-time properties based on possibility measure, IEEE Transactions on Fuzzy Systems, 21(5)(2013),…

Logic in Computer Science · Computer Science 2016-01-26 Yongming Li

This article discusses a particular case of the data clustering problem, where it is necessary to find groups of adjacent text segments of the appropriate length that match a fuzzy pattern represented as a sequence of fuzzy properties. To…

Artificial Intelligence · Computer Science 2022-02-01 Armen Kostanyan , Arevik Harmandayan

In this paper, several differentiability criteria for real functions of multiple variables in n-dimensional Euclidean space are considered. Simple and easy-to-use Cauchy-like criterion is formulated and proven. Relaxed sufficient conditions…

General Mathematics · Mathematics 2021-07-29 Yurii V. Mukhin , Nataliya D. Kundikova

Fuzzy quantification is a subtopic of fuzzy logic which deals with the modelling of the quantified expressions we can find in natural language. Fuzzy quantifiers have been successfully applied in several fields like fuzzy, control, fuzzy…

Artificial Intelligence · Computer Science 2018-07-20 F. Díaz-Hermida , Juan. C. Vidal

The theoretical analysis of multi-class classification has proved that the existing multi-class classification methods can train a classifier with high classification accuracy on the test set, when the instances are precise in the training…

Machine Learning · Computer Science 2022-08-24 Guangzhi Ma , Jie Lu , Feng Liu , Zhen Fang , Guangquan Zhang

In this article we investigate a way in which quantum computing can be used to extend the class of fuzzy sets. The core idea is to see states of a quantum register as characteristic functions of quantum fuzzy subsets of a given set. As the…

Logic in Computer Science · Computer Science 2007-05-23 Mirco A. Mannucci

Evaluating argument strength in quantitative argumentation systems has received increasing attention in the field of abstract argumentation. The concept of acceptability degree is widely adopted in gradual semantics, however, it may not be…

Artificial Intelligence · Computer Science 2023-08-21 Zongshun Wang , Yuping Shen

Pandora temporal fault tree, as one notable extension of the fault tree, introduces temporal gates and temporal laws. Pandora Temporal Fault Tree(TFT) enhances the capability of fault trees and enables the modeling of system failure…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Hitesh Khungla , Mohit Kumar

This work is devoted to a comprehensive analysis of topological data analysis fortime series classification. Previous works have significant shortcomings, such aslack of large-scale benchmarking or missing state-of-the-art methods. In this…

Machine Learning · Computer Science 2020-10-13 Polina Pilyugina , Rodrigo Rivera-Castro , Eugeny Burnaev

We prove a necessary optimality condition for isoperimetric problems on time scales in the space of delta-differentiable functions with rd-continuous derivatives. The results are then applied to Sturm-Liouville eigenvalue problems on time…

Optimization and Control · Mathematics 2012-11-06 Rui A. C. Ferreira , Delfim F. M. Torres

In this paper one presents a new fuzzy clustering algorithm based on a dissimilarity function determined by three parameters. This algorithm can be considered a generalization of the Gustafson-Kessel algorithm for fuzzy clustering.

Artificial Intelligence · Computer Science 2015-02-17 Vasile Patrascu

Recently, we have proposed a new diffusive representation for fractional derivatives and, based on this representation, suggested an algorithm for their numerical computation. From the construction of the algorithm, it is immediately…

Numerical Analysis · Mathematics 2022-04-12 Kai Diethelm

In this paper we introduced the generalized difference Cesaro sequence spaces of fuzzy real numbers defined by Orlicz function. We study some topological properties of these spaces. We obtain some inclusion relations involving these…

Functional Analysis · Mathematics 2015-06-19 Binod Chandra Tripathy , Stuti Borgohain

The research interest of this paper is focused on the efficient clustering task for an arbitrary color data. In order to tackle this problem, we have tried to model the inherent uncertainty and vagueness of color data using fuzzy color…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Dae-Won Kim , Kwang H. Lee

Recent work on compositional distributional models shows that bialgebras over finite dimensional vector spaces can be applied to treat generalised quantifiers for natural language. That technique requires one to construct the vector space…

Computation and Language · Computer Science 2021-09-24 Matej Dostal , Mehrnoosh Sadrzadeh , Gijs Wijnholds

The purpose of this paper is to study the algorithm FCM and some of its famous innovations, analyse and discover the method of applying hedge algebra theory that uses algebra to represent linguistic-valued variables, to FCM. Then, this…

Machine Learning · Computer Science 2017-11-06 Hung Thai Le , Khang Ding Tran , Hung Van Le

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