Generalized Probabilistic Dual Hesitant Fuzzy Linguistic PowerAggregation Operators in Multi-attribute Decision Making

doi:10.12005/orms.2020.0255

Operations Research and Management Science ›› 2020, Vol. 29 ›› Issue (10): 59-67.DOI: 10.12005/orms.2020.0255

• Theory Analysis and Methodology Study • Previous Articles Next Articles

Generalized Probabilistic Dual Hesitant Fuzzy Linguistic PowerAggregation Operators in Multi-attribute Decision Making

ZHU Feng^1,2, XU Ji-chao¹, LIU Yu-min², WANG Ning²

1. School of Management EngineeringZhengzhou University, Zhengzhou 450001, China;
2. School of Business, Zhengzhou University, Zhengzhou 450001, China

Received:2018-09-18 Online:2020-10-25

广义概率对偶犹豫模糊语言幂集结算子在多属性决策中的应用

朱峰^1,2, 徐济超¹, 刘玉敏², 王宁²

1.郑州大学管理工程学院,河南郑州 450001;
2.郑州大学商学院,河南郑州 450001

通讯作者: 刘玉敏(1956-),女,河南郑州,教授,博士,研究方向:决策分析、质量智能监控。
作者简介:朱峰(1994-),男,河南信阳,博士生,研究方向:多属性决策,复杂系统建模;徐济超(1958-),男,河南郑州,教授,博士,研究方向:模糊决策分析、质量工程;王宁(1983-),男,河南郑州,副教授,博士,研究方向:智能优化算法,质量管理。
基金资助:
国家自然科学基金资助项目(71672182,71711540309,U1504703,U1604262);河南省教育厅人文社科重点项目(2016-ZD-054);河南省教育科学“十三五”规划项目((2018)-JKGHYB-0009)

Abstract

Abstract: Based on the dual hesitant fuzzy linguistic set, the probabilistic dual hesitation fuzzy set and the generalized power aggregation operators, generalized probabilistic dual hesitant fuzzy linguistic power aggregation operators are studied. Firstly, the definition,the operational laws,score function , accuracy function , distance measure and entropy of the probabilistic dual hesitant fuzzy linguistic set are proposed. Then, the generalized probabilistic dual hesitant fuzzy linguistic power aggregation operators are defined and their properties are studied. Moreover, a decision-making method is proposed to solve the multi-attribute decision problem of probabilistic dual hesitant fuzzy linguistic with the relationship between the aggregated data. Finally, a practical example is given to illustrate the effectiveness of the proposed approaches.

Key words: probabilistic dual hesitant fuzzy linguistic set, multi-attribute decision making, generalized power aggregation operator, entropy

摘要： 在对偶犹豫模糊语言集、概率对偶犹豫模糊集和广义幂集结算子的基础上,研究了在概率对偶犹豫模糊语言环境下的广义幂集结算子问题。首先,给出了概率对偶犹豫模糊语言集的定义、运算规则、得分函数、精确函数、距离测度、熵。然后,定义了广义概率对偶犹豫模糊语言幂集结算子,并研究其具有的性质。其次,提出了一种决策方法来解决集结数据之间存在相互关系的概率对偶犹豫模糊语言多属性决策问题。最后,结合相关案例验证了该方法的有效性和可行性。

关键词: 概率对偶犹豫模糊语言集, 多属性决策, 广义幂集结算子, 熵

CLC Number:

C934

ZHU Feng, XU Ji-chao, LIU Yu-min, WANG Ning. Generalized Probabilistic Dual Hesitant Fuzzy Linguistic PowerAggregation Operators in Multi-attribute Decision Making[J]. Operations Research and Management Science, 2020, 29(10): 59-67.

朱峰, 徐济超, 刘玉敏, 王宁. 广义概率对偶犹豫模糊语言幂集结算子在多属性决策中的应用[J]. 运筹与管理, 2020, 29(10): 59-67.

References

[1] Zadeh L. A fuzzy sets[J]. Information and Control, 1965, 8: 338-356.
[2] Atanassov K T. Intuitionistic fuzzy sets[J]. Fuzzy Sets System, 1986, 20(1): 87-96.
[3] Yager R R. Pythagorean membership grades in multi-criteria decision making[J]. IEEE Transactions on Fuzzy Systems, 2014, 22(4): 958-965.
[4] Torra V, Narukawa Y. On hesitant fuzzy sets and decision[C]. The 18th IEEE International Conference on Fuzzy Systems: Jeju Island, 2009. 1378-1382.
[5] Torra V. Hesitant fuzzy sets[J]. International Journal of Intelligent Systems, 2010, 25(6): 529-539.
[6] Herrera F, Herrera V E, MartiNez L. A fusion approach for managing multi-granularity linguistic term sets in decision making[J]. Fuzzy Sets & Systems, 2000, 114(1): 43-58.
[7] Xu Z S. Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment[J]. Information Sciences, 2004, 168: 171-184.
[8] Lin R, Zhao X F, Wei G W. Models for selecting an ERP system with hesitant fuzzy linguistic information[J]. Journal of Intelligent & Fuzzy Systems, 2014(26): 2155-2165.
[9] 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, 2014, 288 (C): 55-72.
[10] 杨尚洪,鞠彦兵.基于对偶犹豫模糊语言变量的多属性决策方法[J].运筹与管理,2015,24 (05):91-96.
[11] Wei G W. Interval-valued dual hesitant fuzzy uncertain linguistic aggregation operators in multiple attribute decision making[J]. Journal of Intelligent & Fuzzy Systems, 2017, 33(4): 1-13.
[12] Xu Z S, Zhou W. Consensus building with a group of decision makers under the hesitant probabilistic fuzzy environment[J]. Fuzzy Optimization & Decision Making, 2017. 1-23.
[13] Pang Q, Wang H, Xu Z S. Probabilistic linguistic term sets in multi-attribute group decision making[J]. Information Sciences, 2016, 369: 128-143.
[14] Joshi D K, Beg I, Kumar S. Hesitant probabilistic fuzzy linguistic sets with applications in multi-criteria group decision making problems[J]. Symmetry, 2018, 6(4): 20.
[15] Hao Z N, Xu Z S, Zhao H, et al. Probabilistic dual hesitant fuzzy set and its application in risk evaluation[J]. Knowledge-Based Systems, 2017, 127(C): 16-28.
[16] Zhu B, Xu Z S, Xia M M. Dual hesitant fuzzy sets[J]. Journal of Applied Mathematics, 2012. 1-10.
[17] Yager R R. The power average operator[J]. Systems Man & Cybernetics Part A Systems & Humans IEEE Transactions on, 2001, 31(6): 724-731.
[18] Xu Z S. Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators[J]. Knowledge-Based Systems, 2011, 24(6): 749-760.
[19] Wei G W, Lu M. Pythagorean fuzzy power aggregation operators in multiple attribute decision making[J]. International Journal of Intelligent Systems, 2018, 33(1): 169-186.
[20] Zhang Z M. Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making[J]. Information Sciences, 2013, 234(10): 150-181.
[21] Lin R, Zhao X F, Wang H. Hesitant fuzzy linguistic aggregation operators and their application to multiple attribute decision making[J]. Journal of Intelligent & Fuzzy Systems, 2014, 36(11): 49-63.
[22] 熊升华,陈振颂,李延来.基于IFN输入的复杂系统关联MCGDM方法研究[J].控制与决策,2015,30(6):1065-1077.
[23] Xiong S H, Chen Z S, Li Y L, et al. On extending power-geometric operators to interval-valued hesitant fuzzy sets and their applications to group decision making[J]. International Journal of Information Technology & Decision Making, 2016, 15(05): 1055-1114.
[24] 牟能冶.基于广义犹豫三角模糊幂均算子的MADM方法[J].控制与决策,2018,33(02):282-292.
[25] Delgado M, Verdegay J L, Vila M A. Linguistic decision making models[J]. International Journal of Intelligent Systems, 1992(7): 479-492.
[26] Xu Z S. A method based on linguistic aggregation operators for group decision making with linguistic preference relations[J]. Information Sciences, 2004, 166(1): 19-30.
[27] 谭睿璞,张文德.基于广义直觉语言算子的多属性群决策方法[J].控制与决策,2016,31(11): 2005-2012.
[28] 章玲,张露平,周鹏.航空公司服务质量评价—基于非可加直觉模糊VIKOR方法[J].技术经济与管理研究,2014(4):8-14.

Generalized Probabilistic Dual Hesitant Fuzzy Linguistic PowerAggregation Operators in Multi-attribute Decision Making

广义概率对偶犹豫模糊语言幂集结算子在多属性决策中的应用

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