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正态模糊数型多属性决策模型及其应用

桑广 吴涛

山西大学学报(自然科学版)2013,Vol.36Issue(1):34-39,6.
山西大学学报(自然科学版)2013,Vol.36Issue(1):34-39,6.

正态模糊数型多属性决策模型及其应用

Multi-Attribute Decision Making Model of Normal Fuzzy Number and Its Application

桑广 1吴涛2

作者信息

  • 1. 安徽大学数学科学学院,安徽合肥230601
  • 2. 安徽大学计算智能与信号处理教育部重点实验室,安徽合肥230039
  • 折叠

摘要

Abstract

Based on the standardized ideal solution and the similarity,it proposes a method for some multi-attribute decision making problems,where the information on the attribute weights is unknown (completely or partly unknown), and the attribute values and the subjective preference values are expressed in the form of normal fuzzy numbers. At first,the similarity between fuzzy numbers,the expected values and variance of fuzzy numbers and other concepts are given,and an optimization model based on the maximization of the similarity is established and solved,from which the optimal weights are obtained. Then the standardized ideal solution is acquired. Based on the similarity between each scheme and the ideal solution, all schemes are ranked. Finally,an example analysis shows that the method is feasible and effective.

关键词

多属性决策/正态模糊数/相似度/期望/规范化理想解

Key words

multiple attribute decision making/normal fuzzy number similarity/ expected value standardized ideal solution

分类

信息技术与安全科学

引用本文复制引用

桑广,吴涛..正态模糊数型多属性决策模型及其应用[J].山西大学学报(自然科学版),2013,36(1):34-39,6.

基金项目

国家973计划(2007BC311003) (2007BC311003)

国家自然科学基金(61073117) (61073117)

安徽大学创新团队(KJTD001B) (KJTD001B)

山西大学学报(自然科学版)

OA北大核心CSCDCSTPCD

0253-2395

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