The Properties of Birandom Multiobjective Programming Problems

摘要

This paper is devoted to the multiobjective programming problem based on the birandom theory. We first propose the birandom multiobjective programming (BRMOP) problem and its expected value model. Then we present the concepts of non-inferior solution, called expected-value efficient solutions and expected-value wake efficient solutions, and their properties are also discussed. The results obtained in this paper can provide theoretical basis for designing algorithms to solve the BRMOP problem.