A Novel Approach for Multiplicative Linguistic Group Decision Making Based on Symmetrical Linguistic Chi-Square Deviation and VIKOR Method

Zhiwei Gong,Ling Weng,Jian Lin

doi:10.3390/sym14010136

Zhiwei Gong, Ling Weng + Show 1 more

Open Access

https://doi.org/10.3390/sym14010136

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Journal: Symmetry	Publication Date: Jan 11, 2022
Citations: 3	License type: CC BY 4.0

Affiliation: Fujian Agriculture and Forestry University

Abstract

Most linguistic-based approaches to multi-attribute group decision making (MAGDM) use symmetric, uniformly distributed sets of additive linguistic terms to express the opinions of decision makers. However, in reality, there are also some problems that require the use of asymmetric, uneven, i.e., non-equilibrium, multiplicative linguistic term sets to express the evaluation. The purpose of this paper is to propose a new approach to MAGDM under multiplicative linguistic information. The aggregation of linguistic data is an important component in MAGDM. To solve this problem, we define a chi-square for measuring the difference between multiplicative linguistic term sets. Furthermore, the linguistic generalized weighted logarithm multiple averaging (LGWLMA) operator and linguistic generalized ordered weighted logarithm multiple averaging (LGOWLMA) operator are proposed based on chi-square deviation. On the basis of the proposed two operators, we develop a novel approach to GDM with multiplicative linguistic term sets. Finally, the evaluation of transport logistics enterprises is developed to illustrate the validity and practicality of the proposed approach.

Highlights

IntroductionGroup decision making (GDM) is an important and interesting research topic at present
Group decision making (GDM) is an important and interesting research topic at present. It is done by inviting a large number of decision makers (DMs) with experience and knowledge to share their opinions on the evaluation of each alternative [1]
As an important form of GDM, MAGAM develops some methods for selecting the most desirable option from a pre-provided set of options based on the opinion information given by all decision makers on multiple influential attributes

Summary

Introduction

Group decision making (GDM) is an important and interesting research topic at present. It is done by inviting a large number of decision makers (DMs) with experience and knowledge to share their opinions on the evaluation of each alternative [1]. According to the evaluation information provided by DMs, the alternatives are comprehensively evaluated and the best alternative is obtained. As an important form of GDM, MAGAM develops some methods for selecting the most desirable option from a pre-provided set of options based on the opinion information given by all decision makers on multiple influential attributes A considerable amount of research has applied the GDM process to various types of practical problems [3,4,5,6], such as emergency preparedness selection [7,8], the evaluation of pro-environmental behavior [9], waste incineration plant and wind farm siting [10,11], healthcare facility selection [12], and so on.

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