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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…

最优化与控制 · 数学 2022-04-26 Amin Ghodousian , Hadi Amiri , Alireza Norouzi Azad

In this paper, an optimization model with a linear objective function subjected to a system of fuzzy relation equations (FRE) is studied where the feasible region is defined by the Dombi t-norm. Dombi family of t-norms includes a parametric…

综合数学 · 数学 2022-07-14 Amin Ghodousian , Sara Zal

In this paper, we introduce a type of latticized optimization problem whose objective function is the maximum component function and the feasible region is defined as a system of fuzzy relational equalities (FRE) defined by the Dombi…

综合数学 · 数学 2022-07-18 Amin Ghodousian , Sara Zal

This paper considers the linear objective function optimization with respect to a more general class of bipolar fuzzy relational equations, where the fuzzy compositions are defined by an arbitrary continuous Archimedean t-norm. In addition,…

最优化与控制 · 数学 2025-09-03 Amin Ghodousian , Mohammad Sedigh Chopannavaz , Witold Pedrycz

In this paper, a linear programming problem is investigated in which the feasible region is formed as a special type of fuzzy relational equalities (FRE). In this type of FRE, fuzzy composition is considered as the weighted power mean…

综合数学 · 数学 2022-07-14 Amin Ghodousian , Sara Zal

Bipolar fuzzy relation equations arise as a generalization of fuzzy relation equations considering unknown variables together with their logical connective negations. The occurrence of a variable and the occurrence of its negation…

人工智能 · 计算机科学 2024-10-07 M. Eugenia Cornejo , David Lobo , Jesús Medina

In this paper, an optimization model with a linear objective function subject to a system of fuzzy relation equations (FRE) is studied where the feasible region is defined by the Lukasiewicz t-norm. Since the finding of all minimal…

最优化与控制 · 数学 2022-04-14 Amin Ghodousian , Zahra Boreiri , Faeze Habibi

The introduction of Fuzzy Relational Equations (FREs) has made problems that were unsolvable using algebraic linear equations into solvable ones. FREs have been applied to problemsin medicine, industry, transportation and all types of…

综合数学 · 数学 2007-05-23 W. B. Vasantha Kandasamy , Florentin Smarandache

In this paper, we introduce a nonlinear optimization problem whose objective function is the convex log-sum-exp function and the feasible region is defined as a system of fuzzy relational inequalities (FRI) defined by the Lukasiewicz…

最优化与控制 · 数学 2022-06-22 Amin Ghodousian , Alireza Norouzi Azad , Hadi Amiri

Fuzzy relational inequalities with fuzzy constraints (FRI-FC) are the generalized form of fuzzy relational inequalities (FRI) in which fuzzy inequality replaces ordinary inequality in the constraints. Fuzzy constraints enable us to attain…

最优化与控制 · 数学 2023-09-12 Amin Ghodousian , Romina Omidi

In this paper, we investigate direct solution of FRE and compare their results with expected real consequences. We give an applied example formulated by a FRE problem and show that FRE defined by maximum t-conorm and an arbitrary t-norm can…

最优化与控制 · 数学 2022-07-26 Amin Ghodousiana , Sara Zal

Fuzzy relation equations (FRE)are associated with the composition of binary fuzzy relations. In the present work FRE are used as a tool for studying the process of learning a new subject matter by a student class. A classroom application…

人工智能 · 计算机科学 2018-04-03 Michael Gr. Voskoglou

This paper has taken into advantage the relationship between Fuzzy Relation Equations (FRE) and Concept Lattices in order to introduce a procedure to reduce a FRE, without losing information. Specifically, attribute reduction theory in…

人工智能 · 计算机科学 2024-10-10 David Lobo , Víctor López-Marchante , Jesús Medina

This paper considers the linear objective function optimization with respect to a novel system of fuzzy relation equations, where the fuzzy compositions are defined by the minimum t-norm. It is proved that the feasible solution set is…

最优化与控制 · 数学 2023-09-22 Amin Ghodousian , Mahdi Mollakazemiha

In this paper, notion of p - norm generalized trapezoidal intuitionistic fuzzy numbers is introduced. A new ranking method is introduced for p - norm generalized trapezoidal intuitionistic fuzzy numbers. Also we consider linear programming…

最优化与控制 · 数学 2015-12-08 Shashi Aggarwal , Chavi Gupta

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…

综合数学 · 数学 2018-02-28 Umme Salma M. Pirzada

In this paper, we generalize the Pearl and Neyman-Rubin methodologies in causal inference by introducing a generalized approach that incorporates fuzzy logic. Indeed, we introduce a fuzzy causal inference approach that consider both the…

人工智能 · 计算机科学 2024-06-21 Amir Saki , Usef Faghihi

In this article, we combine the concept of a bipolar fuzzy set and a soft set. We introduce the notion of bipolar fuzzy soft set and study fundamental properties. We study basic operations on bipolar fuzzy soft set. We define exdended…

人工智能 · 计算机科学 2014-03-10 Muhammad Aslam , Saleem Abdullah , Kifayat ullah

Over the past decade, Finite Element Method (FEM) has served as a foundational numerical framework for approximating the terms of Time Series Expansion (TSE) as solutions to transient Partial Differential Equation (PDE). However, the…

数值分析 · 数学 2024-09-04 Ahmad Deeb , Denys Dutykh

Bipolar fuzzy relation equations arise when unknown variables together with their logical negations appear simultaneously in fuzzy relation equations. This paper gives a characterization of the solvability of bipolar max product fuzzy…

综合数学 · 数学 2024-10-11 M. Eugenia Cornejo , David Lobo , Jesús Medina
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