Extended VIKOR method for multi-attribute group decision making based on Pythagorean uncertain linguistic information

被引：0

作者：

Liu Z.-M. ^{[1
]}

Liu P.-D. ^{[1
]}

Liu W.-L. ^{[1
]}

机构：

[1] School of Management Science and Engineering, Shandong University of Finance and Economics, Ji'nan

来源：

Liu, Zheng-Min (liuzhengmin525@163.com) | 2017年 / Northeast University卷 / 32期

关键词：

Multi-attribute group decision making method; Pythagorean uncertain linguistic variables; VIKOR method;

D O I：

10.13195/j.kzyjc.2016.1535

中图分类号：

学科分类号：

摘要：

With respect to the multi-attribute decision making problem with Pythagorean uncertain linguistic variables, in which attribute weights and expert weights are completely unknown, an extended VIKOR method is proposed. Firstly, the concept of Pythagorean uncertain linguistic variables is defined. Combining with the concept of linguistic scale functions, the operational laws, comparison method and Hamming distance of Pythagorean uncertain linguistic variables are also proposed to accommodate different semantic situations. Then, an objective attribute weight determination method is proposed to determinate the attribute weights based on the Pythagorean uncertain linguistic entropy measure, and an objective expert weight determination method is also proposed to determine the weight of experts with respect to each attribute by calculating the similarity degree among evaluation values in which the attribute values are expressed as Pythagorean uncertain linguistic variables. Based on the above research, an extended VIKOR method is proposed to solve Pythagorean uncertain linguistic multi-attribute group decision making problems. Finally, an example of domestic airline service quality evaluation is provided to demonstrate the effectiveness and feasibility of the proposed method. © 2017, Editorial Office of Control and Decision. All right reserved.

引用

页码：2145 / 2152

页数：7

共 23 条

[1]

Atanassov K.T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 1, pp. 87-96, (1986)

[2]

Yager R.R., Pythagorean membership grades in multi-criteria decision making, IEEE Trans on Fuzzy Systems, 22, 4, pp. 958-965, (2014)

[3]

Zhang X.L., Xu Z.S., Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets, Int J of Intelligent Systems, 29, 12, pp. 1061-1078, (2014)

[4]

Peng X., Yang Y., Some results for pythagorean fuzzy sets, Int J of Intelligent Systems, 30, 11, pp. 1133-1160, (2015)

[5]

Reformat M.Z., Yager R.R., Suggesting recommendations using Pythagorean fuzzy sets illustrated using netflix movie data, Information Processing and Management of Uncertainty in Knowledge-Based Systems, pp. 546-556, (2014)

[6]

Bustince H., Barrenechea E., Pagola M., Et al., A historical account of types of fuzzy sets and their relationships, IEEE Trans on Fuzzy Systems, 24, 1, pp. 179-194, (2016)

[7]

Wang J.Q., Li H.B., Multi-criteria decision-making method based on aggregation operators for intuitionistic linguistic fuzzy numbers, Control and Decision, 25, 10, pp. 1571-1574, (2010)

[8]

Xu Z.S., Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment, Information Sciences, 168, 1, pp. 171-184, (2004)

[9]

Peng X.D., Yang Y., Multiple attribute group decision making methods based on Pythagorean fuzzy linguistic set computer engineering and applications, Computer Engineering and Applications, 52, 23, pp. 50-54, (2016)

[10]

Opricovic S., Multicriteria optimization of civil engineering systems, Faculty of Civil Engineering, Belgrade, 2, 1, pp. 5-21, (1998)

← 1 2 3 →