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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

In this paper studies the maximal covering location problem, assuming imprecise knowledge of all data involved. The considered problem is modeled from a fuzzy perspective producing suitable fuzzy Pareto solutions. Some properties of the…

Optimization and Control · Mathematics 2021-01-12 Manuel Arana-Jiménez , Víctor Blanco , Elena Fernández

In this paper, we study a latticized optimization problem with fuzzy relational inequality constraints where the feasible region is formed as the intersection of two inequality fuzzy systems and Sugeno-Weber family of t-norms is considered…

Optimization and Control · Mathematics 2025-09-17 Amin Ghodousian , Sara Zal , Minoo Ahmadi

Aczel-Alsina t-norm belongs to the family of strict t-norms that are the most applied fuzzy operators in various fuzzy modelling problems. In this paper, we study a linear optimization problem where the feasible region is formed as a system…

Optimization and Control · Mathematics 2022-04-26 Amin Ghodousian , Hadi Amiri , Alireza Norouzi Azad

In our recent paper we have established close relationships between state reduction of a fuzzy recognizer and resolution of a particular system of fuzzy relation equations. In that paper we have also studied reductions by means of those…

Formal Languages and Automata Theory · Computer Science 2011-03-01 Aleksandar Stamenković , Miroslav Ćirić , Jelena Ignjatović

The relativistic four-quark equations are found in the framework of the dispersion relation technique. The solutions of these equations using the method based on the extraction of leading singularities of the amplitudes are obtained. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. M. Gerasyuta , V. I. Kochkin

Pythagorean fuzzy sets provide stronger ability than intuitionistic fuzzy sets to model uncertainty information and knowledge, but little effort has been paid to conflict analysis of Pythagorean fuzzy information systems. In this paper, we…

Artificial Intelligence · Computer Science 2017-07-13 Guangming Lang

Fuzzy answer set programming is a declarative framework for representing and reasoning about knowledge in fuzzy environments. However, the unavailability of fuzzy aggregates in disjunctive fuzzy logic programs, DFLP, with fuzzy answer set…

Artificial Intelligence · Computer Science 2013-04-09 Emad Saad

The main objective of this paper is to derive the optimality conditions for one type of fuzzy optimization problems. At the beginning, we define a cone of descent direction for fuzzy optimization, and prove that its intersection with the…

Optimization and Control · Mathematics 2023-08-07 Fangfang Shi , Guoju Ye , Wei Liu , Debdas Ghosh

We interpret a fuzzy set as a random availability function and provide sufficient conditions under which a preference relation over the set of all random availability functions can be represented by a utility function.

Theoretical Economics · Economics 2025-05-06 Somdeb Lahiri

Given a reference lattice, we define fuzzy intervals to be the fuzzy sets such that their p-cuts are crisp closed intervals. We show that: given a complete reference lattice, the collection of its fuzzy intervals is a complete lattice.…

Other Computer Science · Computer Science 2011-11-09 Ath. Kehagias

We consider systems of word equations and their solution sets. We discuss some fascinating properties of those, namely the size of a maximal independent set of word equations, and proper chains of solution sets of those. We recall the basic…

Combinatorics · Mathematics 2015-06-10 Juhani Karhumäki , Aleksi Saarela

Multiple solutions exist in various experimental situations whenever the sum of several amplitudes is used to fit the experimentally measured distributions, such as the cross section, the mass spectrum, or the angular distribution. We show…

High Energy Physics - Phenomenology · Physics 2011-01-04 C. Z. Yuan , X. H. Mo , P. Wang

Here a novel idea to handle imprecise or vague set viz. Pseudo fuzzy set has been proposed. Pseudo fuzzy set is a triplet of element and its two membership functions. Both the membership functions may or may not be dependent. The hypothesis…

Artificial Intelligence · Computer Science 2015-02-23 Sukanta Nayak , Snehashish Chakraverty

We introduce and study minimal (with respect to inclusion) solutions of systems of tropical linear differential equations. We describe the set of all minimal solutions for a single equation. It is shown that any tropical linear differential…

Algebraic Geometry · Mathematics 2025-04-01 Dima Grigoriev , Cristhian Garay López

This paper discusses a class of uncertain optimization problems, in which unknown parameters are modeled by fuzzy intervals. The membership functions of the fuzzy intervals are interpreted as possibility distributions for the values of the…

Data Structures and Algorithms · Computer Science 2020-09-15 Adam Kasperski , Pawel Zielinski

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

This paper is a continuation of our work concerning the logical and computational foundations of multi-step fuzzy inference. We bring further results on the implementation of the Mamdani-Assilian type of fuzzy rules and inference in Goedel…

Logic in Computer Science · Computer Science 2023-12-12 Dusan Guller

Multidimensional association rule mining searches for interesting relationship among the values from different dimensions or attributes in a relational database. In this method the correlation is among set of dimensions i.e., the items…

Information Retrieval · Computer Science 2009-09-29 Neelu Khare , Neeru Adlakha , K. R. Pardasani

In the paper we define the convergence of compact fuzzy sets as a convergence of alpha-cuts in the topology of compact subsets of a metric space. Furthermore we define typical convergences of fuzzy variables and show relations with…

Probability · Mathematics 2009-04-06 Adam Bzowski , Michal K. Urbanski
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