Research on Hybrid Multi-Attribute Three-Way Group Decision Making Based on Improved VIKOR Model

Jiekun Song (), Zeguo He (), Lina Jiang, Zhicheng Liu and Xueli Leng
Additional contact information
Jiekun Song: School of Economics and Management, China University of Petroleum, Qingdao 266580, China
Zeguo He: School of Economics and Management, China University of Petroleum, Qingdao 266580, China
Lina Jiang: School of Economics and Management, China University of Petroleum, Qingdao 266580, China
Zhicheng Liu: School of Economics and Management, China University of Petroleum, Qingdao 266580, China
Xueli Leng: School of Economics and Management, China University of Petroleum, Qingdao 266580, China

Mathematics, 2022, vol. 10, issue 15, 1-21

Abstract: In the era of internet connection and IOT, data-driven decision-making has become a new trend of decision-making and shows the characteristics of multi-granularity. Because three-way decision-making considers the uncertainty of decision-making for complex problems and the cost sensitivity of classification, it is becoming an important branch of modern decision-making. In practice, decision-making problems usually have the characteristics of hybrid multi-attributes, which can be expressed in the forms of real numbers, interval numbers, fuzzy numbers, intuitionistic fuzzy numbers and interval-valued intuitionistic fuzzy numbers (IVIFNs). Since other forms can be regarded as special forms of IVIFNs, transforming all forms into IVIFNs can minimize information distortion and effectively set expert weights and attribute weights. We propose a hybrid multi-attribute three-way group decision-making method and give detailed steps. Firstly, we transform all attribute values of each expert into IVIFNs. Secondly, we determine expert weights based on interval-valued intuitionistic fuzzy entropy and cross-entropy and use interval-valued intuitionistic fuzzy weighted average operator to obtain a group comprehensive evaluation matrix. Thirdly, we determine the weights of each attribute based on interval-valued intuitionistic fuzzy entropy and use the VIKOR method improved by grey correlation analysis to determine the conditional probability. Fourthly, based on the risk loss matrix expressed by IVIFNs, we use the optimization method to determine the decision threshold and give the classification rules of the three-way decisions. Finally, an example verifies the feasibility of the hybrid multi-attribute three-way group decision-making method, which provides a systematic and standard solution for this kind of decision-making problem.

Keywords: hybrid multi-attribute; three-way group decision making; VIKOR model; grey correlation analysis; interval-valued intuitionistic fuzzy numbers (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/15/2783/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/15/2783/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:15:p:2783-:d:881485

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().