Multi-attribute group decision making method under 2-dimension uncertain linguistic variables

doi:10.23919/JSEE.2020.000096

Journal of Systems Engineering and Electronics ›› 2020, Vol. 31 ›› Issue (6): 1254-1261.doi: 10.23919/JSEE.2020.000096

• SYSTEMS ENGINEERING • Previous Articles Next Articles

Multi-attribute group decision making method under 2-dimension uncertain linguistic variables

Kexin JIANG(), Quan ZHANG*(), Manting YAN()

¹ School of Information Science and Engineering, Shenyang University of Technology, Shenyang 110870, China

Received:2019-08-15 Online:2020-12-18 Published:2020-12-29
Contact: Quan ZHANG E-mail:1402151289@qq.com;isqzhang@sohu.com;1373639553@qq.com
About author:|JIANG Kexin was born in 1994. He is currently a master candidate at the School of Information Science and Engineering, Shenyang University of Technology in systems engineering. His research interests include uncertain multiple attribute decision making, group decision, aggregation of uncertain information, uncertain information reason, linguistic modeling, decision support systems, competitive multi-attribute group decision making problems, game theory and evaluation systems. E-mail: 1402151289@qq.com||ZHANG Quanwas born in 1967. He received his Master’s degree from Northeastern University in Shenyang in 1997 and Ph.D. degrees at Northeastern University and City University of HongKong in 1998 and 2002 respectively. Now he is a professor at School of Information Engineering, Shenyang University of Technology. His research interests include multiple attribute decision making, group decision support and artificial intelligence. E-mail: isqzhang@sohu.com||YAN Manting was born in 1995. She is currently a master candidate at the School of Information Science and Engineering, Shenyang University of Technology in systems engineering. Her research interests include uncertain multiple attribute decision making and group decision. E-mail: 1373639553@qq.com
Supported by:
This work was supported by the Natural Science Foundation of Liaoning Province (2013020022)

Abstract

Abstract:

A method is proposed to deal with the uncertain multiple attribute group decision making problems, where 2-dimension uncertain linguistic variables (2DULVs) are used as the reliable way for the experts to express their fuzzy subjective evaluation information. Firstly, in order to measure the 2DULVs more accurately, a new method is proposed to compare two 2DULVs, called a score function, while a new function is defined to measure the distance between two 2DULVs. Secondly, two optimization models are established to determine the weight of experts and attributes based on the new distance formula and a weighted average operator is used to determine the comprehensive evaluation value of each alternative. Then, a score function is used to determine the ranking of the alternatives. Finally, the effectiveness of the proposed method is proved by an illustrated example.

Key words: 2-dimension uncertain linguistic variables (2DULVs), multi-attribute group decision making problem, score function, distance formula

Kexin JIANG, Quan ZHANG, Manting YAN. Multi-attribute group decision making method under 2-dimension uncertain linguistic variables[J]. Journal of Systems Engineering and Electronics, 2020, 31(6): 1254-1261.

Figures/Tables 3

Table 1

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Enterprise	Attribute( ${C_1}$ )	Attribute( ${C_2}$ )	Attribute( ${C_3}$ )	Attribute( ${C_4}$ )
$A{S_1}$	$(({S_5},{S_5}),(S_2^,S_3^))$	$(({S_2},S_3),(S_2^,S_3^))$	$(({S_4},{S_5}),(S_4^,S_4^))$	$(({S_3},S_4),(S_1^,S_2^))$
$A{S_2}$	$(({S_3},{S_4}),(S_2^,S_3^))$	$(({S_5},{S_5}),(S_3^,S_3^))$	$(({S_3},{S_3}),(S_4^,S_4^))$	$(({S_4},{S_4}),(S_1^,S_2^))$
$A{S_3}$	$(({S_2},{S_3}),(S_2^,S_3^))$	$(({S_3},{S_4}),(S_3^,S_3^))$	$(({S_3},{S_4}),(S_4^,S_4^))$	$(({S_4},{S_5}),(S_1^,S_2^))$
$A{S_4}$	$(({S_5},{S_6}),(S_2^,S_3^))$	$(({S_1},{S_2}),(S_3^,S_3^))$	$(({S_2},{S_3}),(S_4^,S_4^))$	$(({S_3},{S_4}),(S_1^,S_2^))$

Enterprise	Attribute( ${C_1}$ )	Attribute( ${C_2}$ )	Attribute( ${C_3}$ )	Attribute( ${C_4}$ )
$A{S_1}$	$(({S_4},{S_4}),(S_3^,S_4^))$	$(({S_3},S_4),(S_2^,S_3^))$	$(({S_3},{S_4}),(S_3^,S_3^))$	$(({S_5},S_6),(S_3^,S_4^))$
$A{S_2}$	$(({S_4},{S_5}),(S_3^,S_4^))$	$(({S_2},{S_3}),(S_2^,S_3^))$	$(({S_4},{S_5}),(S_3^,S_3^))$	$(({S_2},{S_3}),(S_3^,S_4^))$
$A{S_3}$	$(({S_3},{S_4}),(S_3^,S_4^))$	$(({S_4},{S_4}),(S_2^,S_3^))$	$(({S_2},{S_3}),(S_3^,S_3^))$	$(({S_3},{S_4}),(S_3^,S_4^))$
$A{S_4}$	$(({S_5},{S_5}),(S_3^,S_4^))$	$(({S_4},{S_5}),(S_2^,S_3^))$	$(({S_1},{S_2}),(S_3^,S_3^))$	$(({S_4},{S_4}),(S_3^,S_4^))$

Enterprise	Attribute( ${C_1}$ )	Attribute( ${C_2}$ )	Attribute( ${C_3}$ )	Attribute( ${C_4}$ )
$A{S_1}$	$(({S_5},{S_5}),(S_2^,S_3^))$	$(({S_2},S_3),(S_3^,S_3^))$	$(({S_4},{S_4}),(S_3^,S_4^))$	$(({S_4},S_5),(S_1^,S_1^))$
$A{S_2}$	$(({S_4},{S_4}),(S_2^,S_3^))$	$(({S_4},{S_5}),(S_2^,S_2^))$	$(({S_1},{S_2}),(S_3^,S_4^))$	$(({S_3},{S_3}),(S_1^,S_1^))$
$A{S_3}$	$(({S_3},{S_4}),(S_2^,S_3^))$	$(({S_5},{S_5}),(S_2^,S_2^))$	$(({S_1},{S_1}),(S_3^,S_4^))$	$(({S_4},{S_4}),(S_1^,S_1^))$
$A{S_4}$	$(({S_2},{S_3}),(S_2^,S_3^))$	$(({S_2},{S_3}),(S_2^,S_2^))$	$(({S_4},{S_5}),(S_3^,S_4^))$	$(({S_4},{S_5}),(S_1^,S_1^))$

Multi-attribute group decision making method under 2-dimension uncertain linguistic variables

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