摘要
将模糊数学理论应用到合作博弈中,用精确的数学表达式来表示实际生活中的模糊事件,又将模糊结构元理论应用到模糊合作博弈中,将模型中的模糊数用模糊结构元表示,以往基于扩张原理的模糊Shapley值的隶属函数非常复杂,本文给出其求解方法,使其得到解析表达。通过一个算例,来说明该模型的具体应用,与支付函数用区间数表示等研究方法相比较,该模型不仅保证了隶属函数的连续性,还给出区间上每个取值的隶属度,可以为管理者提供更精确的信息。
Fuzzy mathematics method was used to study Cooperative games. That is called fuzzy Cooperative games. Then authors applied the fuzzy structured element theory to analyze fuzzy Cooperative games. The membership function of the fuzzy Shapley value can get analytic expression. The an example is used to illustrate the specific application of the model. Alter comparing the results of different research methods, the model not only to ensure the continuity of the membership function, but also gives the possibility of each number in the range. This method can provide more accurate information for managers.
出处
《模糊系统与数学》
CSCD
北大核心
2013年第4期140-147,共8页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(71201012)
教育部人文社会科学研究规划项目(12YJ C630071)
葫芦岛市科技局研究项目
关键词
模糊数学
结构元
合作博弈
隶属函数
Fuzzy Mathematics Structured Element Cooperative Games Subordinate Function
