The properties of birandom multiobjective programming problems

Authors:
Yongguo Zhang;Yayi Xu;Mingfa Zheng;Liu Ningning
Affiliations:
College of Elementary Education, Xingtai University, Xingtai, Hebei, China;College of Science, Air Force Engineering University Xi'an, Shanxi, China;College of Science, Air Force Engineering University Xi'an, Shanxi, China;College of Elementary Education, Xingtai University, Xingtai, Hebei, China
Venue:
ICSI'11 Proceedings of the Second international conference on Advances in swarm intelligence - Volume Part II
Year:
2011

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Abstract

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.