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Systems of fuzzy relation equations and inequalities in which an unknown fuzzy relation is on the one side of the equation or inequality are linear systems. They are the most studied ones, and a vast literature on linear systems focuses on…

Artificial Intelligence · Computer Science 2022-06-03 Stefan Stanimirovic , Ivana Micic

The recently defined concept of a statistical depth function for fuzzy sets provides a theoretical framework for ordering fuzzy sets with respect to the distribution of a fuzzy random variable. One of the most used and studied statistical…

Methodology · Statistics 2022-07-27 Luis González-De La Fuente , Alicia Nieto-Reyes , Pedro Terán

This paper concentrates on the study of the decentralized fuzzy control method for a class of fractional-order interconnected systems with unknown control directions. To overcome the difficulties caused by the multiple unknown control…

Systems and Control · Electrical Eng. & Systems 2020-10-20 Bingyun Liang , Shiqi Zheng , Choon Ki Ahn

The fuzzy $K$-means problem is a generalization of the classical $K$-means problem to soft clusterings, i.e. clusterings where each points belongs to each cluster to some degree. Although popular in practice, prior to this work the fuzzy…

Machine Learning · Computer Science 2015-12-21 Johannes Blömer , Sascha Brauer , Kathrin Bujna

Continuous models used in physics and other areas of mathematics applications become discrete when they are computerized, e.g., utilized for computations. Besides, computers are controlling processes in discrete spaces, such as films and…

Classical Analysis and ODEs · Mathematics 2010-02-02 Mark Burgin

In this paper we introduce a fuzzy version of symport/antiport membrane systems. Our fuzzy membrane systems handle possibly inexact copies of reactives and their rules are endowed with threshold functions that determine whether a rule can…

Other Computer Science · Computer Science 2007-05-23 Jaume Casasnovas , Joe Miro , Manuel Moya , Francesc Rossello

Directed fuzzing performs best for targeted program testing via estimating the impact of each input in reaching predefined program points. But due to insufficient analysis of the program structure and lack of flexibility and configurability…

Cryptography and Security · Computer Science 2025-07-08 Darya Parygina , Timofey Mezhuev , Daniil Kuts

Although fuzzy techniques promise fast meanwhile accurate modeling and control abilities for complicated systems, different difficulties have been re-vealed in real situation implementations. Usually there is no escape of it-erative…

Artificial Intelligence · Computer Science 2017-01-08 Iman Esmaili Paeen Afrakoti , Saeed Bagheri Shouraki , Farnood Merrikhbayat

The discrete logarithm problem in a finite group is the basis for many protocols in cryptography. The best general algorithms which solve this problem have time complexity of $\mathcal{O}(\sqrt{N}\log N)$, and a space complexity of…

Computational Complexity · Computer Science 2022-03-16 Simran Tinani , Joachim Rosenthal

Fuzzy graph-based structures such as fuzzy automata, fuzzy labeled transition systems, fuzzy Kripke models, fuzzy social networks and fuzzy interpretations in fuzzy description logics are useful in various applications. Given two states,…

Data Structures and Algorithms · Computer Science 2021-07-20 Linh Anh Nguyen

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

It is widely recognized today that the management of imprecision and vagueness will yield more intelligent and realistic knowledge-based applications. Description Logics (DLs) are a family of knowledge representation languages that have…

Artificial Intelligence · Computer Science 2011-11-02 I. Horrocks , J. Z. Pan , G. Stamou , G. Stoilos , V. Tzouvaras

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

Many engineering optimization problems can be considered as linear programming problems where all or some of the parameters involved are linguistic in nature. These can only be quantified using fuzzy sets. The aim of this paper is to solve…

Artificial Intelligence · Computer Science 2010-01-14 I. Elamvazuthi , T. Ganesan , P. Vasant , J. F. Webb

Statistical depth functions order the elements of a space with respect to their centrality in a probability distribution or dataset. Since many depth functions are maximized in the real line by the median, they provide a natural approach to…

Statistics Theory · Mathematics 2025-05-26 Luis González-De La Fuente , Alicia Nieto-Reyes , Pedro Terán

The article considers one of the possible generalizations of constraint satisfaction problems where relations are replaced by multivalued membership functions. In this case operations of disjunction and conjunction are replaced by maximum…

Artificial Intelligence · Computer Science 2014-07-24 Michail Schlesinger , Boris Flach , Evgeniy Vodolazskiy

We present generalization of the Bloom variety theorem of ordered algebras in fuzzy setting. We introduce algebras with fuzzy orders which consist of sets of functions which are compatible with particular binary fuzzy relations called fuzzy…

Logic · Mathematics 2017-01-11 Vilem Vychodil

The main objective of this paper is to develop a new semantic Network structure, based on the fuzzy sets theory, used in Artificial Intelligent system in order to provide effective on-line assistance to users of new technological systems.…

Artificial Intelligence · Computer Science 2012-06-07 Mohamed Nazih Omri , Mohamed Ali Mahjoub

Prefix aggregation operation (also called scan), and its particular case, prefix summation, is an important parallel primitive and enjoys a lot of attention in the research literature. It is also used in many algorithms as one of the steps.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-29 Jacek Sroka , Jerzy Tyszkiewicz

Limits and colimits of diagrams, defined by maps between sets, are universal constructions fundamental in different mathematical domains and key concepts in theoretical computer science. Its importance in semantic modeling is described by…

Logic in Computer Science · Computer Science 2016-04-12 Carlos Leandro , Luís Monteiro