|
|
Group Decision Making Model Based on Probabilistic Hesitant Fuzzy Information Aggregation Operations |
WU Wenying, LI Ying, JIN Feifei, NI Zhiwei, ZHU Xuhui |
School of Management, Hefei University of Technology, Hefei 230009 Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei University of Technology, Hefei 230009 |
|
|
Abstract Serious loss of the decision information is caused while the decision making information is described by the existing hesitant fuzzy sets. In this paper, a multi-attribute group decision making model is designed on the basis of the probabilistic hesitant fuzzy information aggregation operators. Firstly, the Archimedean norm is introduced under the probability hesitation fuzzy environment to define the probability hesitation fuzzy operation rule. Secondly, the generalized probabilistic hesitant fuzzy ordered weighted averaging(GPHFOWA) operator and the generalized probabilistic hesitant fuzzy ordered weighted geometric(GPHFOWG) operator are proposed based on the operation rule, and their basic properties are discussed. Subsequently, several common forms of GPHFOWA operator and GPHFOWG operator and their relations are analyzed. Finally, a probabilistic fuzzy multi-attribute group decision making model is constructed by using the two kinds of operators, and the feasibility and the effectiveness of the decision model are verified by an example of supplier selection.
|
Received: 17 April 2017
|
|
Fund:Supported by Key Project of Natural Science Foundation of China(No.71490725), National Natural Science Foundation of China(No.91546108), National Social Science Foundation of China(No.16BJY132), Philosophy and Social Science Programming Item of Anhui Province(No.AHSKY2015D68) |
About author:: (WU Wenying, born in 1993, master student. Her research interests include the application of fuzzy decision in the social network analysis and logistics supply chain management.) (LI Ying, born in 1972, Ph.D., associate professor. Her research interests include su-pply chain management, decision science and technology, inte-lligent management technology, enterprise theory and management.) (JIN Feifei(Corresponding author), born in 1988, Ph.D. candidate. His research inte-rests include intelligent management and decision analysis.) (NI Zhiwei, born in 1963, Ph.D., profe-ssor. His research interests include data mi-ning, intelligent management and big data.) (ZHU Xuhui, born in 1991, Ph.D. candidate. His research interests include evolutio-nary computation and machine learning.) |
|
|
|
[1] 金飞飞,倪志伟.基于犹豫模糊偏好关系的雾霾影响因素评价.模式识别与人工智能, 2015, 28(9): 839-847. (JIN F F, NI Z W. Factors Evaluation of Fog-Haze Weather Based on Hesitant Fuzzy Preference Relations. Pattern Recognition and Artificial Intelligence, 2015, 28(9): 839-847.) [2] ZADEH L A. Fuzzy Sets. Information and Control, 1965, 8(3): 338-353. [3] ATANASSOV K T. Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems, 1986, 20(1): 87-96. [4] TORRA V. Hesitant Fuzzy Sets. International Journal of Intelligent Systems, 2010, 25(6): 529-539. [5] JIN F F, NI Z W, CHEN H Y, et al. Multiple Attribute Group Decision Making Based on Interval-Valued Hesitant Fuzzy Information Measures. Computers & Industrial Engineering, 2016, 101: 103-115. [6] ZHANG Z M, WU C. Weighted Hesitant Fuzzy Sets and Their Application to Multi-criteria Decision Making. British Journal of Mathematics & Computer Science, 2014, 4(8): 1091-1123. [7] ZHOU L G, JIN F F, CHEN H Y, et al. Continuous Intuitionistic Fuzzy Ordered Weighted Distance Measure and Its Application to Group Decision Making. Technological & Economic Development of Economy, 2016, 22(1): 75-99. [8] LIU P D, HE L, YU X C. Generalized Hybrid Aggregation Operators Based on the 2-Dimension Uncertain Linguistic Information for Multiple Attribute Group Decision Making. Group Decision and Negotiation, 2016, 25(1): 103-126. [9] 刘小弟,朱建军,李思峰.犹豫模糊信息下的双向投影决策方法.系统工程理论与实践, 2014, 34(10): 2637-2644. (LIU X D, ZHU J J, LI S F. Bidirectional Projection Method with Hesitant Fuzzy Information. Systems Engineering-Theory & Practice, 2014, 34(10): 2637-2644.) [10] XU Z S. Intuitionistic Fuzzy Aggregation Operators. IEEE Transactions on Fuzzy Systems, 2007, 15(6): 1179-1187. [11] XU Z S, YAGER R R. Some Geometric Aggregation Operators Based on Intuitionistic Fuzzy Sets. International Journal of General Systems, 2006, 35(4): 417-433. [12] XIA M M, XU Z S. Hesitant Fuzzy Information Aggregation in Decision Making. International Journal of Approximate Reasoning, 2011, 52(3): 395-407. [13] YU D J, WU Y Y, ZHOU W. Generalized Hesitant Fuzzy Bonferroni Mean and Its Application in Multi-criteria Group Decision Making. Journal of Information and Computational Science, 2012, 9(2): 267-274. [14] 王宝丽,梁吉业,胡运红.基于粒计算的犹豫模糊多准则决策方法.模式识别与人工智能, 2016, 29(3): 252-262. (WANG B L, LIANG J Y, HU Y H. Granular Computing Based Hesitant Fuzzy Multi-criteria Decision Making. Pattern Recognition and Artificial Intelligence, 2016, 29(3): 252-262.) [15] WEI G W. Hesitant Fuzzy Prioritized Operators and Their Application to Multiple Attribute Decision Making. Knowledge-Based Systems, 2012, 31: 176-182. [16] JIN F F, NI Z W, CHEN H Y. Note on "Hesitant Fuzzy Prioritized Operators and Their Application to Multiple Attribute Decision Making". Knowledge-Based Systems, 2016, 96: 115-119. [17] YU Q, HOU F J, ZHAI Y B, et al. Some Hesitant Fuzzy Einstein Aggregation Operators and Their Application to Multiple Attribute Group Decision Making. International Journal of Intelligent Systems, 2016, 31(7): 722-746. [18] JIN F F, NI Z W, CHEN H Y. Interval-Valued Hesitant Fuzzy Einstein Prioritized Aggregation Operators and Their Applications to Multi-attribute Group Decision Making. Soft Computing, 2016, 20(5): 1863-1878. [19] PANG Q, WANG H, XU Z S. Probabilistic Linguistic Term Sets in Multi-attribute Group Decision Making. Information Sciences, 2016, 369: 128-143. [20] GOU X J, XU Z S. Novel Basic Operational Laws for Linguistic Terms, Hesitant Fuzzy Linguistic Term Sets and Probabilistic Linguistic Term Sets. Information Sciences, 2016, 372: 407-427. [21] BAI C Z, ZHANG R, QIAN L X, et al. Comparisons of Probabilistic Linguistic Term Sets for Multi-criteria Decision Making. Knowledge-Based Systems, 2017, 119: 284-291. [22] ZHAI Y L, XU Z S, LIAO H C. Probabilistic Linguistic Vector-Term Set and Its Application in Group Decision Making with Multi-granular Linguistic Information. Applied Soft Computing, 2016, 49: 801-816. [23] HAO Z N, XU Z S, ZHAO H, et al. Probabilistic Dual Hesitant Fuzzy Set and Its Application in Risk Evaluation. Knowledge-Based System, 2017, 127: 16-28. [24] ZHANG S, XU Z S, HE Y. Operations and Integrations of Probabilistic Hesitant Fuzzy Information in Decision Making. Information Fusion, 2017, 38: 1-11. [25] LIU P D. The Aggregation Operators Based on Archimedean t-conorm and t-norm for Single-Valued Neutrosophic Numbers and Their Application to Decision Making. International Journal of Fuzzy Systems, 2016, 18(5): 849-863. [26] 李 应,杨善林.基于二层规划的供应链契约谈判模型与求解.中国管理科学, 2008, 16(4): 77-83. (LI Y, YANG S L. Model for Negotiating Supply Chain Contract Based on Bi-level Programming and Its Solution. Chinese Journal of Management Science, 2008, 16(4): 77-83.) |
|
|
|