Pythagorean uncertain linguistic TODIM method based on generalized Choquet integral and its application

被引:0
|
作者
Liang X. [1 ]
Liu Z.-M. [1 ]
Liu P.-D. [1 ]
机构
[1] School of Management Science and Engineering, Shandong University of Finance and Economics, Ji'nan
来源
Kongzhi yu Juece/Control and Decision | 2018年 / 33卷 / 07期
关键词
Behavior; Correlated criteria; Multiple criteria decision making; Perceived dominance degree; PUL-TODIM decision making method;
D O I
10.13195/j.kzyjc.2017.0364
中图分类号
学科分类号
摘要
With respect to the multiple criteria decision making problem with Pythagorean uncertain fuzzy linguistic information and correlated criteria, in which the decision maker's reference dependence and loss aversion behaviors are considered, a Pythagorean uncertain fuzzy linguistic TODIM(PUL-TODIM) method is proposed based on generalized Choquet integral. To begin with, the definition of Pythagorean uncertain fuzzy linguistic and its related theory are established. Considering the reference dependence behavior of decision maker, the gain and loss values of each alternative relative to the other alternative concerning each attribute are calculated. Then, considering the loss aversion behavior of decision maker, the perceived dominance degree for each alternative over the other one is obtained by integrating the corresponding gain and loss values. Further, the total perceived dominance degree for each alternative can be computed to rank alternatives. Finally, an example of haze governance is given to illustrate the feasibility and effectiveness of the proposed method. © 2018, Editorial Office of Control and Decision. All right reserved.
引用
收藏
页码:1303 / 1311
页数:8
相关论文
共 31 条
  • [21] 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, Information Sciences, 288, 1, pp. 55-72, (2014)
  • [22] Yue Z.L., Jia Y.Y., A direct projection-based group decision-making methodology with crisp values and interval data, Soft Computing, 21, 9, pp. 2395-2405, (2017)
  • [23] Ji P., Zhang H.Y., Wang J.Q., A projection-based TODIM method under multi-valued neutrosophic environments and its application in personnel selection, Neural Computing Applications, (2016)
  • [24] Sugeno M., Theory of fuzzy integrals and its applications, pp. 218-226, (1974)
  • [25] Shen J.M., Dang Y.G., Zhou W.J., Et al., Grey dynamic multiple attribute correlation decision-making model based on exponential function, Control and Decision, 31, 8, pp. 1441-1445, (2016)
  • [26] Tan C.Q., A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS, Expert Systems with Applications, 38, 4, pp. 3023-3033, (2011)
  • [27] Kuo M.S., Liang G.S., A novel hybrid decision-making model for selecting locations in a fuzzy environment, Mathematical and Computer Modelling, 54, 1, pp. 88-104, (2011)
  • [28] Grabisch M., Murofushi T., Sugeno M., Fuzzy Measure and Integrals, pp. 55-91, (2000)
  • [29] Shapley L.S., A value for n-person game, Contributions to the Theory Of Games, pp. 31-40, (1953)
  • [30] Tan C.Q., Jiang Z.Z., Chen X.H., An extended TODIM method for hesitant fuzzy interactive multicriteria decision making based on generalized Choquet integral, J of Intelligent & Fuzzy Systems, 29, 1, pp. 293-305, (2015)