一种有方案偏好的TOPSIS区间直觉模糊多属性决策方法  

TOPSIS Method for Interval-Valued Intuitionistic Fuzzy Multiple Attribute Decision Making with Preference Information on Alternatives

作　　者：乔剑敏 李沃源[2] 赵新平[1] 马生昀[1] QIAO Jian-min;LI Wo-yuan;ZHAO Xin-ping;MA Sheng-yun(School of Science,Inner Mongolia Agricultural University,Hohhot 010018,China;School of Public Management,Inner Mongolia Univerpity,Hohhot 010021,China)

机构地区：[1]内蒙古农业大学理学院,内蒙古呼和浩特010018 [2]内蒙古大学公共管理学院,内蒙古呼和浩特010021

出　　处：《数学的实践与认识》2020年第6期322-328,共7页Mathematics in Practice and Theory

基　　金：内蒙古农业大学基础学科科研启动基金项目(JC2018005);国家自然科学基金资助项目(71904092);教育部人文社会科学基金(18YJC630077);内蒙古自然科学基金(2018BS070002)。

摘　　要：考虑了决策者对方案具有一定偏好,且偏好信息和决策信息都为区间直觉模糊数的多属性决策问题.首先,基于偏差极小化的思想,利用区间直觉模糊得分函数构造优化模型,计算属性权重,然后将TOPSIS方法拓展到区间直觉模糊环境中对方案进行排序,进而提出了一种有方案偏好的TOPSIS区间直觉模糊多属性决策方法.最后,通过实例表明了所提方法的有效性和实用性.This paper studies the fuzzy multiple attribute decision making problems with preference information on alternatives,in which the attribute values and the preference information are expressed in the form of interval-valued intuitionistic fuzzy number.Firstly,based on the minimizing deviation method,attribute weight is obtained by building the optimization model of score function.Then TOPSIS method is applied to interval-valued intuitionistic fuzzy sets to establish the priority of alternatives.A new decision-making method which consider the preference information on alternatives is proposed.Finally,an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

关 键 词：区间直觉模糊数 偏好信息 TOPSIS 

分 类 号：O159[理学—数学] O225[理学—基础数学]