In this paper, we focus on the symmetrical relationship between multi-properties objective reachability problems and multi-objective sets over FKS based Zadeh logic. First, give formal definitions of those two problems. Then, study their relationships find that a problem special case have symmetry. Finally, polynomial time algorithm symmetry to convert problem. addition, an illustrative example...

ABSTRACT This paper proposes a new Multi-Objective Equilibrium Optimizer (MOEO) to handle complex optimization problems, including real-world engineering design problems. The (EO) is recently reported physics-based metaheuristic algorithm, and it has been inspired by the models used predict equilibrium state dynamic state. A similar procedure utilized in MOEO combining different target search s...

Abstract This paper introduces a multi-objective variant of the marine predators algorithm (MPA) called improved (MOIMPA), which incorporates concepts from Quantum theory. By leveraging theory, MOIMPA aims to enhance MPA’s ability balance between exploration and exploitation find optimal solutions. The utilizes concept inspired by Schrödinger wave function determine position particles in search...

In general, Multi-objective Evolutionary Algorithms do not guarantee find solutions in the Pareto-optimal set. We propose a new approach for solving decomposable deceptive multi-objective problems that can find all solutions of the Pareto-optimal set. Basically, the proposed approach starts by decomposing the problem into subproblems and, then, combining the found solutions. The resultant appro...