Some operators of intuitionistic uncertain 2-tuple linguistic variables and application to multi-attribute group decision making with heterogeneous relationship among attributes

Article type: Research Article

Authors: Yu, Gao-Feng^{a; b} | Li, Deng-Feng^{a; *} | Qiu, Jin-Ming^b | Zheng, Xiao-Xue^a

Affiliations: [a] School of Economics and Management, Fuzhou University, Fuzhou, Fujian, China | [b] School of Information Engineering, Sanming University, Sanming, Fujian, China

Correspondence: [*] Corresponding author. Deng-Feng Li, School of Economics and Management, Fuzhou University, No. 2, Xueyuan Road, Daxue New District, Fuzhou District, Fuzhou, Fujian 350108, China. Tel./Fax: +86 0591 87892973; E-mail: [email protected].

Abstract: The aim of this paper is to develop a method for solving multi-attribute group decision making (MAGDM) problems with intuitionistic uncertain 2-tuple linguistic (IU2TL) variables (IU2TLVs). Firstly, operational laws and similarity degrees of IU2TLVs are introduced. Secondly, a new aggregation operator called IU2TL continuous chi-deviation ordered weighted quasi-averaging (IU2TLC-CDOWQA) is proposed. Then, to deal with heterogeneous relationships, the IU2TL continuous extend Bonferroni mean (IU2TLC-EBM) operator is developed, and hereby a method for MAGDM problems with IU2TLVs is proposed. Finally, an illustrated example and comparing analysis show that the proposed method is practical and effective.

Keywords: Multi-attribute group decision making, intuitionistic uncertain 2-tuple linguistic variable, aggregation operator, uncertainty

DOI: 10.3233/JIFS-17821

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 599-611, 2018