基于直觉模糊数的改进得分函数及多属性决策应用  

Improved Score Function Based on Intuitionistic Fuzzy Numbers and Applicated in Multi-attribute Decision-making

作　　者：孟振华 王玲琳 张晖[1] 刘永信[1] MENG Zhen-hua;WANG Ling-lin;ZHANG Hui;LIU Yong-xin(College of Electronic Information Engineering,Inner Mongolia University,Hohhot 010021,China;College of Computer Science,Inner Mongolia University,Hohhot 010021,China)

机构地区：[1]内蒙古大学电子信息工程学院,内蒙古呼和浩特010021 [2]内蒙古大学计算机学院,内蒙古呼和浩特010021

出　　处：《模糊系统与数学》2022年第4期91-99,共9页Fuzzy Systems and Mathematics

基　　金：国家重点研发计划项目(2017YFC1405600);国家自然科学基金资助项目(61701263)。

摘　　要：针对直觉模糊环境下属性权重信息已知的多属性决策问题进行探究,从投票模型的角度提出一种综合考虑直觉模糊数隶属度、非隶属度以及犹豫度的改进得分函数。讨论该改进得分函数的相关性质,并在此基础上给出了一种新的直觉模糊数排序方法,通过数值算例将本文得分函数与其它得分函数进行分析比较,验证了该得分函数的合理性。结合直觉模糊混合平均算子提出一种直觉模糊多属性决策方法,应用于卫星组网调度方案的决策,决策结果说明该方法是可行和有效的,为属性权重信息已知的直觉模糊多属性决策问题提供了一种新的解决思路。The multi-attribute decision-making problem with known attribute weight information in intuitionistic fuzzy environment is explored in this paper.From the perspective of voting model,an improved score function considering membership,non-membership and hesitation of intuitionistic fuzzy numbers is proposed.It is discussed that the related properties of the improved score function,and on this basis,a new method about intuitionistic fuzzy numbers ranking is given.Using the numerical examples,the improved score function is compared with other score functions,and the rationality of this score function is verified.An intuitionistic fuzzy multi-attribute decision-making method is proposed based on the intuitionistic fuzzy hybrid average operator.The feasibility and effectiveness of this method are further illustrated by applicated in a satellite network scheduling scheme decision-making example,which provides a new solution to the intuitionistic fuzzy multiattribute decision-making problem with known attribute weight information.

关 键 词：直觉模糊集 直觉模糊数 多属性决策 得分函数 

分 类 号：O212[理学—概率论与数理统计]