基于区间犹豫模糊语言评价的多属性决策方法及其应用
|
摘要
对于多属性决策问题,文章结合现实群决策过程,定义了标准化区间犹豫模糊语言数以及区间犹豫模糊语言数向量的概念,修正了已有文献中区间犹豫模糊语言数的得分函数和精确函数计算公式。在此基础上,构建了区间犹豫模糊语言数向量之间的距离测度,并运用多属性决策中常用的TOPSIS方法思想,建立了基于区间犹豫模糊语言评价的多属性决策模型,简化了现有文献中构建PA聚合算子的决策计算过程。通过对现有文献中同一问题及其数据的计算,验证了方法的有效性和可行性。
For the problems concerning multi-attribute decision-making, this paper combines with the realistic group decision making process to define the concept of standardized interval-valued hesitation fuzzy linguistic number and interval-valued hesitation fuzzy linguistic number vector(IVHFLNV), and then corrects the scoring function and exact function formula of interval-valued hesitation fuzzy linguistic number in the existing literature. On this basis is constructed the distance measure between IVHFLNVs. The TOPSIS method commonly used in multi-attribute decision making, is applied to establish a multi-attribute decision making model based on interval-valued hesitation fuzzy language evaluation so as to simplify the decision-making process of constructing PA aggregation operator in the existing literature. Finally the paper verifies the validity and feasibility of the method by calculating the same problem and its data in the existing literature.
For the problems concerning multi-attribute decision-making, this paper combines with the realistic group decision making process to define the concept of standardized interval-valued hesitation fuzzy linguistic number and interval-valued hesitation fuzzy linguistic number vector(IVHFLNV), and then corrects the scoring function and exact function formula of interval-valued hesitation fuzzy linguistic number in the existing literature. On this basis is constructed the distance measure between IVHFLNVs. The TOPSIS method commonly used in multi-attribute decision making, is applied to establish a multi-attribute decision making model based on interval-valued hesitation fuzzy language evaluation so as to simplify the decision-making process of constructing PA aggregation operator in the existing literature. Finally the paper verifies the validity and feasibility of the method by calculating the same problem and its data in the existing literature.
引文
[1]龚日朝,谭可星,潘芬萍.区间数相似度计算模型及其应用研究[J].邵阳学院学报(自然科学版),2019,16(1).
[2]张文,龚日朝.基于区间犹豫模糊语言集与TOPSIS多属性决策方法[J].淮北师范大学学报(自然科学版),2018,39(4).
[3]龚日朝,马霖源.基于区间直觉模糊数的得分函数和精确函数及其应用[J].系统工程理论与实践,2019,39(2).
[4]Wang J Q,Wu J T,Wang J,et al.Interval-valued Hesitant Fuzzy Linguistic Sets and Their Applications in Multi-criteria Decision-making Problems[J].Information Sciences and International Journal,2014,(288).
[5]Yager R R.Prioritized Aggregation Operators[J].Reason,2008,(48).
[6]Shih H S,Shyur H J,Lee E S.An Extension of Topsis for Group Decision Making[J].Mathematical&Computer Modelling,2007,45(7).
[7]Boran F E,Gen?S,Kurt M,et al.A Multi-criteria Intuitionistic Fuzzy Group Decision Making for Supplier Selection With TOPSIS Method[J].Expert Systems With Applications,2009,36(8).
[8]Jahanshahloo G R,Lotfi F H,Izadikhah M.An Algorithmic Method to Extend Topsis for Decision-making Problems With Interval Data[J].Applied Mathematics&Computation,2006,175(2).
[9]Delgado M,Verdegay J L,Vila M A.Linguistic Decision-making models[J].International Journal of Intelligent Systems,2010,7(5).
[2]张文,龚日朝.基于区间犹豫模糊语言集与TOPSIS多属性决策方法[J].淮北师范大学学报(自然科学版),2018,39(4).
[3]龚日朝,马霖源.基于区间直觉模糊数的得分函数和精确函数及其应用[J].系统工程理论与实践,2019,39(2).
[4]Wang J Q,Wu J T,Wang J,et al.Interval-valued Hesitant Fuzzy Linguistic Sets and Their Applications in Multi-criteria Decision-making Problems[J].Information Sciences and International Journal,2014,(288).
[5]Yager R R.Prioritized Aggregation Operators[J].Reason,2008,(48).
[6]Shih H S,Shyur H J,Lee E S.An Extension of Topsis for Group Decision Making[J].Mathematical&Computer Modelling,2007,45(7).
[7]Boran F E,Gen?S,Kurt M,et al.A Multi-criteria Intuitionistic Fuzzy Group Decision Making for Supplier Selection With TOPSIS Method[J].Expert Systems With Applications,2009,36(8).
[8]Jahanshahloo G R,Lotfi F H,Izadikhah M.An Algorithmic Method to Extend Topsis for Decision-making Problems With Interval Data[J].Applied Mathematics&Computation,2006,175(2).
[9]Delgado M,Verdegay J L,Vila M A.Linguistic Decision-making models[J].International Journal of Intelligent Systems,2010,7(5).