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Top1. Introduction
Multiple attribute decision making (MADM) problems under linguistic environment are an interesting research topic having received more and more attention during the last several years. One of the well-known linguistic information processing models are the 2-tuple linguistic computational model (Beg & Rashid, 2016; Dutta & Guha, 2015; Herrera, Herrera-Viedma 2000a, 2000b; Herrera et al., 2005; Herrera & Martínez, 2001; Martínez-López et al., 2015; Lin et al., 2014; Wei, 2009a, 2010a, 2010b, 2010c, 2010d, 2011c, 2011d, 2011e, 2013; Wei et al., 2013, 2014; Wei & Merigó 2012; Wei & Zhao, 2012; Wu et al., 2015; Zhang & Liu, 2010; Zhang & Chu, 2009). Herrera and Martínez (1991) show 2-tuple linguistic information processing manner can effectively avoid the loss and distortion of information. Herrera, Herrera-Viedma (2000a) developed 2-tuple arithmetic average (TAA) operator, 2-tuple weighted average (TWA) operator, 2-tuple ordered weighted average (TOWA) operator and extended 2-tuple weighted average (ET-WA) operator. Herrera et al. (2005) presented the group decision making model for managing non-homogeneous information processing. Herrera-Viedma et al. (2005) developed the consensus support system with multi-granular linguistic preference relations. Liao et al. (2007) used linguistic information processing model for selecting an ERP system. Herrera et al. (2008) proposed a fuzzy linguistic methodology to deal with unbalanced linguistic term sets. Wang (2009) presented a 2-tuple fuzzy linguistic evaluation model for selecting appropriate agile manufacturing system. Tai and Chen (2009) developed the intellectual capital evaluation model linguistic variable. Fan et al. (2009) evaluated knowledge management capability of organizations by using a fuzzy linguistic method. Wei (2010a) extended TOPSIS method to multiple attribute group decision making with 2-tuple linguistic information. Wei (2010b) proposed ET-WG and ET-OWG operators for multiple attribute group decision making with 2-tuple linguistic information. Fan and Liu (2010) developed the multi-granularity uncertain linguistic group decision making model. Chang and Wen (2010) developed a novel efficient approach for DFMEA combining 2-tuple and the OWA operator. Jiang & Wei (2014) proposed some Bonferroni mean operators with 2-tuple linguistic information. Xu et al. (2014) developed some methods to deal with unacceptable incomplete 2-tuple fuzzy linguistic preference relations in group decision making. Liu et al. (2014) proposed the dependent interval 2-tuple linguistic aggregation operators for multiple attribute group decision making. Dutta et al. (2015) developed a model based on linguistic 2-tuples for dealing with heterogeneous relationship among attributes in multi-expert decision making. Dong & Herrera-Viedma (2015) proposed the consistency-driven automatic methodology to set interval numerical scales of 2-tuple linguistic term sets and its use in the linguistic GDM with preference relation. Wang et al. (2015) developed the multi-criteria group decision making method based on interval 2-tuple linguistic information and Choquet integral aggregation operators. Qin & Liu (2016) proposed the 2-tuple linguistic Muirhead mean operators for multiple attribute group decision making and its application to supplier selection. Zhang et al. (2016) developed the consensus reaching model for 2-tuple linguistic multiple attribute group decision making with incomplete weight information.