一种新的不确定多目标规划问题求解方法研究  

Research on a New Method for Solving Uncertain Multi-objective Programming Problems

作　　者：朱京尧 ZHU Jing-yao(Unit 93126 of the Chinese People's Liberation Army,Beijing 100000,China)

机构地区：[1]中国人民解放军93126部队,北京100000

出　　处：《价值工程》2021年第36期178-180,共3页Value Engineering

摘　　要：传统解决不确定多目标规划问题往往先将原问题转化为确定的多目标规划问题,再通过经典多目标规划方法进行求解,这种求解方法称之为多目标方法(Multiobjective approach)。然而,采用多目标方法往往会忽略原问题的不确定性以及不确定目标之间的相关性,基于此,本文提出一种新的求解方法——不确定方法(Uncertain approach),通过不确定变量的序关系定义不确定多目标规划问题(UMOP问题)的Pareto有效解,将原问题转化为不确定单目标规划问题进行求解,为求解这类问题带来一种新的思路。Traditional solutions to uncertain multi-objective programming problems often first transform the original problem into a definite multi-objective programming problem,and then solve it through the classic multi-objective programming method.This solution method is called a multi-objective approach.However,the use of multi-objective methods often ignores the uncertainty of the original problem and the correlation between the uncertain objectives.Based on this,this paper proposes a new solution method—the Uncertain approach,which uses the order of uncertain variables.The Pareto effective solution to the uncertain multi-objective programming problem(UMOP problem)of the relationship definition,transforms the original problem into an uncertain single-objective programming problem to solve,and brings a new idea for solving this kind of problem.

关 键 词：多目标规划问题 单目标规划问题 不确定理论 UMOP求解 

分 类 号：O221.6[理学—运筹学与控制论]