A Group Decision Making Method with Interval-Valued Intuitionistic Fuzzy Preference Relations and Its Application in the Selection of Cloud Computing Vendors for SMEs

Zhang, Shaolin; Tang, Jie; Meng, Fanyong; Yuan, Ruiping

doi:10.15388/20-INFOR416

Informatica

A Group Decision Making Method with Interval-Valued Intuitionistic Fuzzy Preference Relations and Its Application in the Selection of Cloud Computing Vendors for SMEs

Volume 32, Issue 1 (2021), pp. 163–193

Shaolin Zhang Jie Tang Fanyong Meng Ruiping Yuan

https://doi.org/10.15388/20-INFOR416

Pub. online: 8 June 2020 Type: Research Article

Open Access

Received
1 August 2019

Accepted
1 April 2020

Published
8 June 2020

Abstract

To solve the problem of choosing the appropriate cloud computing vendors in small and medium-sized enterprises (SMEs), this paper boils it down to a group decision making (GDM) problem. To facilitate the judgment, this paper uses preference relation as the decision making technology. Considering the situation where uncertain positive and negative judgments exist simultaneously, interval-valued intuitionistic fuzzy preference relations (IVIFPRs) are employed to express the decision makers’ judgments. In view of the multiplicative consistency and consensus analysis, a new GDM algorithm with IVIFPRs is offered. To accomplish this goal, a new multiplicative consistency is first defined, which can avoid the limitations of the previous ones. Then, a programming model is built to check the consistency of IVIFPRs. To deal with incomplete IVIFPRs, two programming models are constructed to determine the missing values with the goal of maximizing the level of multiplicative consistency and minimizing the total uncertainty. To achieve the minimum adjustment of original preference information, a programming model is established to repair inconsistent IVIFPRs. In addition, programming models for getting the decision makers (DMs)’ weights and improving the consensus degree are offered. Finally, a practical decision making example is given to illustrate the effectiveness of the proposed method and to compare it with previous methods.

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Biographies

Zhang Shaolin

zhangshaolin2018@163.com

S. Zhang is carrying out his PhD degree at School of Business, Central South University. He received his master degree from School of Mathematics & Information Science, Guangxi University, China, in 2008. His research interests include group decision making and preference relation.

Tang Jie

tang_112017@163.com

J. Tang is carrying out her PhD degree at School of Business, Central South University. She received her master degree from School of Management, Qingdao Technological University, China, in 2008. To this day, she has contributed 16 journal articles to professional journals. Her research interests include uncertain multi-attribute decision making, cluster analysis, and pattern recognition.

Meng Fanyong

mengfanyongtjie@163.com

F. Meng graduated from Linyi University, China, in 2005. He received his MS degree from Guangxi University, in 2008 and the PhD degree from Beijing Institute of Technology, China, in 2011. From 2014 to 2016, he was a post-doctoral researcher at the School of Business, Central South University. Currently, he is a professor at Central South University. His research interests include fuzzy mathematics, decision making and game theory. Up until now, he has published more than 100 papers.

Yuan Ruiping

angelholyping@163.com

R. Yuan is an associate professor at School of Information, Beijing Wuzi University. She received her bachelor degree and PhD degree from School of Management and Economics, Beijing Institute of Technology, China, in 2004 and 2009, respectively. Her research interests include intelligent logistics, supply chain management and decision making. She has contributed over 20 papers to professional journals and got 10 patents in related research fields.

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Keywords

group decision making IVIFPR multiplicative consistency programming model consensus

Funding

This work was supported by the National Natural Science Foundation of China (No. 71571192), and the Innovation-Driven Project of Central South University (No. 2018CX039).

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