3 papers
math.OC2025
On the resolution and linear optimization problems subject to a system of bipolar fuzzy relational equalities defined with continuous Archimedean t-norms
Amin Ghodousian, Mohammad Sedigh Chopannavaz, Witold Pedrycz
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…
math.OC2025
On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms
Amin Ghodousian, Mohammad Sedigh Chopannavaz
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…
cs.NE2024
A two-phase-ACO algorithm for solving nonlinear optimization problems subjected to fuzzy relational equations
Amin Ghodousian, Sara Zal
In this paper, we investigate nonlinear optimization problems whose constraints are defined as fuzzy relational equations (FRE) with max-min composition. Since the feasible solutio…