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20222025
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math.GM2022

Resolution and simplification of Dombi-fuzzy relational equations and latticized optimization programming on Dombi FREs

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 f…

math.GM2022

A fast algorithm for the linear programming problem constrained with the Weighted power mean-Fuzzy Relational Equalities (WPM-FRE)

Amin Ghodousian, Sara Zal

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, fuzz…

math.GM2022

A fast method for solving the linear optimization p roblem subjected to simplified Dombi fuzzy relational equations

Amin Ghodousian, Sara Zal

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…

math.OC2022

Log-sum-exp optimization problem subjected to Lukasiewicz fuzzy relational inequalities

Amin Ghodousian, Alireza Norouzi Azad, Hadi Amiri

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 rel…

math.OC2022

On the resolution and Linear programming problems subjected by Aczel-Alsina Fuzzy relational equations

Amin Ghodousian, Hadi Amiri, Alireza Norouzi Azad

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 optimiza…

math.OC2022

A branch and bound technique for finding the minimal solutions of the linear optimization problems subjected to Lukasiewicz

Amin Ghodousian, Zahra Boreiri, Faeze Habibi

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 L…