基于区间数的变权与状态变权  

Interval number based variable weight and state variable weight

作　　者：王庆东[1] 侯海军[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《系统工程学报》2008年第4期493-497,共5页Journal of Systems Engineering

基　　金：河南省自然科学基金资助项目(0511013700);河南省教育厅自然科学基金资助项目(200512950001)

摘　　要：利用变权的方法对决策信息为区间数形式的多因素决策问题进行了研究.首先给出了区间数一种排序方法和区间数的四则运算与逻辑运算,并研究它们的性质;然后讨论区间数变权与状态变权的定义及其约束条件,给出若干区间数状态变权;最后证明了区间数状态变权的一个等价条件,并给出两个由已知区间数状态变权构造新的状态变权的方法.This paper studies the multi-factor synthesis decision-making for interval valued informa- tion by using variable weights. Firstly, a ranking method of interval number is presented, and then the rules of arithmetic and Boolean calculation of interval number are defined. Besides, their proper- ties are also studied. Furthermore, the concepts and the restricted conditions of the variable weights and state variable weights for interval number are discussed and some state variable weights are giv- en. Finally, an equivalent condition for the state variable weight of interval number is presented and an effective approach from two known state variable weights to construct a new state variable weights is derived for interval number.

关 键 词：综合决策 区间数 区间数变权 区间数状态变权 

分 类 号：O159[理学—数学]