摘要
在模糊优化决策问题中,约束条件包含模糊线性不等式组.如何把它们转化为确定性的等价形式,这在模糊控制和模糊决策中起着重要的作用.可信性测度是模糊数学实现公理化体系的一个基础.本文在可信性测度的基础上,探讨了模糊约束在一定的满意度水平之下转化为确定性的等价式,同时就三角形模糊变量给出了模糊线性不等式组的确定性等价的具体表达式.
Many optimal fuzzy decision making problems often involve fuzzy linear inequalities in the constraints. It plays an important role that the fuzzy linear inequalities are converted into deterministic ones in the fuzzy control and decision making. Credibility measure is the basis on the axiom system of fuzzy mathematics. Based on the credibility measure. We discuss the problem that fuzzy linear inequalities are converted into deterministic ones under the certain level of satisfaction measure. In the meantime. We give the expressive formula of deterministic equivalents to triangle fuzzy linear inequalities,
出处
《大学数学》
2010年第1期79-85,共7页
College Mathematics
基金
国家自然科学基金资助项目(70571001)
安徽省优秀青年科技基金资助项目(08040106835)
安徽省自然科学基金资助项目(070416245)
安徽省高等学校省级教学研究项目(2007jyxm177)
安徽大学人才队伍建设资助项目
关键词
可信性测度
模糊变量
模糊线性不等式
确定性等价
credibility measure
fuzzy variable
fuzzy linear inequalities
deterministic equivalents
