本文選題：多準則決策 + 正態(tài)隨機變量�。� 參考：《計算機科學與探索》2017年01期

【摘要】：現(xiàn)實中,很多現(xiàn)象近似服從正態(tài)分布。為了解決準則值為正態(tài)隨機變量且決策者風險態(tài)度不確定的多準則決策問題,提出了一種基于區(qū)間可能有序加權(quán)平均(interval possible ordered weighted averaging,IPOWA)算子與可能性系數(shù)的方法。通過正態(tài)隨機變量的線性組合方法,算出各方案的線性加權(quán)正態(tài)隨機變量。根據(jù)正態(tài)隨機變量的3σ原則,將線性加權(quán)正態(tài)隨機變量轉(zhuǎn)化為隨機區(qū)間數(shù)。對隨機區(qū)間數(shù)進行兩兩比較,得到可能度矩陣,利用區(qū)間可能有序加權(quán)平均算子,集結(jié)可能度矩陣中每行元素的值。采用風險態(tài)度的可能性系數(shù),計算各方案的綜合評價值,進而確定各方案的最終排序。最后,通過兩個算例的對比分析,表明所提方法具有排序結(jié)果穩(wěn)定,支持信息充分等特點。
[Abstract]:In reality, many phenomena approximate normal distribution. In order to solve the multi-criteria decision making problem in which the criterion value is a normal random variable and the decision maker's risk attitude is uncertain, a method based on interval possible ordered weighted averaging operator and possibility coefficient is proposed. By using the linear combination method of normal random variables, the linear weighted normal random variables of each scheme are calculated. According to the 3 蟽 principle of normal random variables, the linear weighted normal random variables are transformed into random interval numbers. Through the pairwise comparison of random interval numbers, the possibility degree matrix is obtained, and the values of each row element in the possibility degree matrix are aggregated by using the interval possible ordered weighted average operator. The probability coefficient of risk attitude is used to calculate the comprehensive evaluation value of each scheme, and then the final ranking of each scheme is determined. Finally, the comparison and analysis of two examples show that the proposed method has the characteristics of stable ranking results and sufficient support information.
【作者單位】： 湖南大學工商管理學院;湖南商學院湖南省移動電子商務(wù)協(xié)同創(chuàng)新中心;湖南科技大學管理學院;
【基金】：國家社會科學基金 教育部人文社會科學研究青年基金 中國博士后科學基金 湖南省哲學社會科學基金 湖南省社會科學成果評審委員會重大課題 湖南省教育廳科學研究優(yōu)秀青年項目~~
【分類號】：C934
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本文編號：1795997