The probe for the weighted dual probabilistic linguistic correlation coefficient to invest an artificial intelligence pr

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METHODOLOGIES AND APPLICATION

The probe for the weighted dual probabilistic linguistic correlation coefficient to invest an artificial intelligence project Wanying Xie1,3 • Zeshui Xu1,2 • Zhiliang Ren1 • Enrique Herrera-Viedma3,4

 Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract As one of the burgeoning decision-making instruments, the integrity of dual probabilistic linguistic term sets (DPLTSs) is to express the decision information in terms of cognitive certainty and uncertainty. The superiority of correlation coefficient is to demonstrate the interrelationship of the variables. This paper aims to give full play to the advantages of the above two. Firstly, it defines the dual probabilistic linguistic correlation coefficient. Then, it is based on the proposed entropy for DPLTSs calculates the comprehensive weight vector. Moreover, combined with the proposed correlation coefficient, it further defines the weighted correlation coefficient as a measure for the application about artificial intelligence. Besides, it uses the dual probabilistic linguistic closeness coefficient as the reference to compare the pros and cons. Finally, a specific numeric simulation is utilized to demonstrate the feasibility of the two different measures. Keywords Dual probabilistic linguistic term sets  Weighted correlation coefficient  Distance measure  Closeness coefficient  Multi-attribute group decision making

1 Introduction

Communicated by V. Loia. & Zeshui Xu [email protected] & Enrique Herrera-Viedma [email protected] Wanying Xie [email protected] Zhiliang Ren [email protected] 1

School of Economics and Management, Southeast University, Nanjing 211189, Jiangsu, China

2

Business School, Sichuan University, Chengdu 610064, Sichuan, China

3

Andalusian Research Institute in Data Science and Computational Intelligence, University of Granada, 18071 Granada, Spain

4

Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia

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