λ-可加模糊测度的一般形式及分布特征  

The Generalized Form and Distribution Properties of λ-fuzzy Measure

作　　者：陈文丽[1] 韩立岩[1] 

机构地区：[1]北京航空航天大学经济管理学院,北京100083

出　　处：《模糊系统与数学》2007年第1期42-50,共9页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(70271010)

摘　　要：指出在信息处理与决策中应用λ-可加模糊信息测度评价信息的必要性。讨论λ-可加模糊测度的转换函数构造法,给出其转换函数的一般形式,并指出λ-可加模糊测度分布函数的性质,重点分析经典分布参数的变化对λ-可加模糊测度的影响,进而说明:λ-可加模糊测度是一种刻画理性多样性的有效方式,它可用于表达决策人或行为人对共同的小概率事件的激进或者保守的评价。In this paper, the importance of λ-fuzzy measures on information evaluation is emphasized especially in management decisions. It focuses on the construction of λ-fuzzy measures by transform and describes their distribution properties with the changes of parameters. And a generalized transform function is given. λ-fuzzy measures are effective information measures for depicting various rationalities. That is, decision-makers can apply them to explain the aggressive or conservative evaluation for small probability events.

关 键 词：信息测度 λ-可加模糊测度 转换函数 非统一理性 

分 类 号：O159[理学—数学]