多目标博弈的模糊求解法  

Fuzzy solution in multiobjective games

作　　者：刘亚相[1] 孙洪罡[1] 王丽波[1] 王乃信[1] 

机构地区：[1]西北农林科技大学生命科学学院,陕西杨凌712100

出　　处：《西北农林科技大学学报（自然科学版）》2004年第10期149-152,共4页Journal of Northwest A&F University(Natural Science Edition)

基　　金：西北农林科技大学青年教师科研专项基金资助(0450A6)

摘　　要：　对大系统下的多目标博弈问题进行了研究,利用模糊数学的层次评价法对多目标博弈的每一个目标函数进行模糊赋权,然后将多目标收益函数转换为无量纲的收益满意率函数,并利用模糊赋权将收益满意率函数加权合并,将多目标博弈问题转化为单目标博弈问题进行求解,解法更符合实际并简化了算法。该法可以在现代企业综合决策中应用。To solve the problem of multiobjective games,this paper presents a fuzzy solution based on AHP (analytic hierarchy process).According to the algorithm of AHP,we gave each aim function of multiobjective games a fuzzy power.Then we switched the multiobjective income functions to the satisfied income coefficient functions without dimension,and we used fuzzy power to add up all of the the satisfied income coefficient functions.Last,we translate the multiobjective games into simple game question.This solution is better for use and it is simpler to figure.This theory can be used in modern enterprise decision-making.

关 键 词：多目标博弈 模糊求解法 层次分析法 收益满意率函数 单目标博弈 

分 类 号：O225[理学—运筹学与控制论]