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Autonomous robots must operate in complex and changing environments subject to requirements on their behaviour. Verifying absolute satisfaction (true or false) of these requirements is challenging. Instead, we analyse requirements that…

Software Engineering · Computer Science 2021-04-13 Jeremy Morse , Dejanira Araiza-Illan , Jonathan Lawry , Arthur Richards , Kerstin Eder

This paper presents a novel type-2 Fuzzy logic System to define the Shape of a facial component with the crisp output. This work is the part of our main research effort to design a system (called FASY) which offers a novel face construction…

Computer Vision and Pattern Recognition · Computer Science 2010-07-06 S. Halder , Debotosh Bhattacharjee , M. Nasipuri , D. K. Basu , M. Kundu

Modelling of complex systems is mainly based on the decomposition of these systems in autonomous elements, and the identification and definitio9n of possible interactions between these elements. For this, the agent-based approach is a…

Artificial Intelligence · Computer Science 2013-02-27 Alain-Jérôme Fougères

The O(N) symmetric vector model is considered on both ordinary and fuzzy sphere. It is shown that in both cases master fields exist and their explicit forms are presented. They are found to mix the internal symmetry and the (fuzzy)…

High Energy Physics - Theory · Physics 2009-10-31 Tsunehide Kuroki

In this paper, the fuzzy Hausdorff distance is studied, and also the fuzzy equidistant set for two points of a fuzzy metric space is introduced. Here, the fuzzy metric space has been redefined using recently developed fuzzy geometry, and…

General Mathematics · Mathematics 2025-12-19 Biswajit Singha , Ronald Manríquez , Cristian Carvajal , Debjani Chakraborty

The purpose of this paper is to study a non-convex fuzzy multi-objective quadratic programming problem, in which both the technological coefficients and resources are fuzzy with nonlinear membership function. A computational procedure to…

Optimization and Control · Mathematics 2013-08-02 Shashi Aggarwal , Uday Sharma

Fuzzy regression models have been applied to several Operations Research applications viz., forecasting and prediction. Earlier works on fuzzy regression analysis obtain crisp regression coefficients for eliminating the problem of…

Artificial Intelligence · Computer Science 2013-07-09 Arindam Chaudhuri , Kajal De

This paper introduces \textsc{FuzzyLogic.jl}, a Julia library to perform fuzzy inference. The library is fully open-source and released under a permissive license. The core design principles of the library are: user-friendliness,…

Artificial Intelligence · Computer Science 2024-06-21 Luca Ferranti , Jani Boutellier

In fuzzy theory of sets and groups, the use of $\alpha$--levels is a standard to translate problems from the fuzzy to the crisp framework. Using strong $\alpha$--levels, it is possible to establish a one to one correspondence which makes…

Logic · Mathematics 2021-02-08 Josefa M. Garcia , Pascual Jara

Foundation Models (FMs) are models trained on large corpora of data that, at very large scale, can generalize to new tasks without any task-specific finetuning. As these models continue to grow in size, innovations continue to push the…

Machine Learning · Computer Science 2022-12-27 Avanika Narayan , Ines Chami , Laurel Orr , Simran Arora , Christopher Ré

Two square matrices of (arbitrary) order N are introduced. They are defined in terms of N arbitrary numbers z_{n}, and of an arbitrary additional parameter (a respectively q), and provide finite-dimensional representations of the two…

Mathematical Physics · Physics 2015-06-23 Francesco Calogero

An enhanced approach for network monitoring is to create a network monitoring tool that has artificial intelligence characteristics. There are a number of approaches available. One such approach is by the use of a combination of rule based,…

Artificial Intelligence · Computer Science 2013-05-01 Azruddin Ahmad , Gobithasan Rudrusamy , Rahmat Budiarto , Azman Samsudin , Sureswaran Ramadass

We study in detail generalized 4-dimensional fuzzy spheres with twisted extra dimensions. These spheres can be viewed as $SO(5)$-equivariant projections of quantized coadjoint orbits of $SO(6)$. We show that they arise as solutions in…

High Energy Physics - Theory · Physics 2017-09-13 Marcus Sperling , Harold C. Steinacker

The standard model fermion spectrum, including a right handed neutrino, can be obtained as a zero-mode of the Dirac operator on a space which is the product of complex projective spaces of complex dimension two and three. The construction…

High Energy Physics - Theory · Physics 2009-11-10 Brian P. Dolan

Heavy-light mesons, heavy quarkonium and doubly heavy baryons are briefly discussed. Effective field theories (EFTs) of QCD based on the heavy quark mass expansion 1/m_Q provide a unified framework to describe all three systems. They…

High Energy Physics - Phenomenology · Physics 2016-09-06 Joan Soto

One of the weaknesses of classical (fuzzy) rough sets is their sensitivity to noise, which is particularly undesirable for machine learning applications. One approach to solve this issue is by making use of fuzzy quantifiers, as done by the…

Artificial Intelligence · Computer Science 2024-03-19 Adnan Theerens , Chris Cornelis

It is well known over the recent years that measuring the success of projects under the umbrella of project management is inextricably linked with the associated cost, time, and quality. Most of the previous researches in the field assigned…

Optimization and Control · Mathematics 2024-01-17 Mohammad Sammany , Ahmad Steef , Nedaa Agami , T. Medhat

As a starting point, this paper develops the system of bipolar fuzzy relational equations (FRE) to the most general case, where bipolar FREs are defined by an arbitrary continuous t-norm. Due to the fact that fuzzy relational equations are…

Optimization and Control · Mathematics 2025-08-25 Amin Ghodousian , Mohammad Sedigh Chopannavaz

This paper introduces a new framework of fast and efficient sensing matrices for practical compressive sensing, called Structurally Random Matrix (SRM). In the proposed framework, we pre-randomize a sensing signal by scrambling its samples…

Information Theory · Computer Science 2015-05-28 Thong T. Do , Lu Gan , Nam H. Nguyen , Trac D. Tran

We re-examine a practical aspect of combinatorial fuzzy problems of various types, including search, counting, optimization, and decision problems. We are focused only on those fuzzy problems that take series of fuzzy input objects and…

Artificial Intelligence · Computer Science 2016-11-17 Tomoyuki Yamakami