10 papers
Exact alternative optima for nonlinear optimization problems defined with maximum component objective function constrained by the Sugeno-Weber fuzzy relational inequalities
Amin Ghodousian, Sara Zal, Minoo Ahmadi
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 fuz…
Solving linear objective optimization problem subjected to novel max-min fuzzy relational equalities as a generalization of the vertex cover problem
Amin Ghodousian, Mahdi Mollakazemiha
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…
An exact algorithm for linear optimization problem subject to max-product fuzzy relational inequalities with fuzzy constraints
Amin Ghodousian, Romina Omidi
Fuzzy relational inequalities with fuzzy constraints (FRI-FC) are the generalized form of fuzzy relational inequalities (FRI) in which fuzzy inequality replaces ordinary inequality…
Perfectionism Search Algorithm (PSA): An Efficient Meta-Heuristic Optimization Approach
A. Ghodousian, M. Mollakazemiha, N. Karimian
This paper proposes a novel population-based meta-heuristic optimization algorithm, called Perfectionism Search Algorithm (PSA), which is based on the psychological aspects of perf…
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…
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…
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…
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…
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…
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…