Interval-Valued 2-Tuple Linguistic Induced Continuous Ordered Weighted Distance Measure and Its Application to Multiple Attribute Group Decision Making

Article type: Research Article

Authors: Liu, Xi^{1; 2} | Han, Bing² | Chen, Huayou^{2; *} | Zhou, Ligang^{2; 3}

Affiliations: [1] School of Mathematics and Statistics, Hefei Normal University, Hefei, Anhui 230011, China | [2] School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China. E-mails: liuxi5137@126.com, ice05013861001@163.com, huayouc@126.com | [3] China Institute of Manufacturing Development, Nanjing University of Information Science and Technology, Nanjing 210044, China. E-mail: shuiqiaozlg@126.com

Correspondence: [*] Corresponding author.

Abstract: This paper aims to propose a new distance measure, the interval-valued 2-tuple linguistic induced continuous ordered weighted distance (IT-ICOWD) measure, which consists of the interval-valued 2-tuple linguistic induced continuous ordered weighted averaging (IT-ICOWA) operator and the ordered weighted distance (OWD) measure. In these operators, we consider the risk attitude of decision maker. Furthermore, we discuss some desired properties and various special cases of the IT-ICOWD measure. Additionally, a method of multiple attribute group decision making (MAGDM) in interval-valued 2-tuple linguistic environment is developed on the basis of the IT-ICOWD measure. Through this method, we obtain three simple and exact formulae to determine the order-inducing variables of the IT-ICOWD measure, the weighting vector of decision makers and the weighting vector of attributes, respectively. At last, a numerical example is presented to illustrate the practicability and feasibility of proposed method.

Keywords: group decision making, distance measure, interval-valued 2-tuple linguistic information, IOWA operator, COWA operator

Journal: Informatica, vol. 29, no. 2, pp. 321-352, 2018