Interval-Valued Intuitionistic Uncertain Linguistic Information-Based TOPSIS Method for Multi-criteria Group Decision-Making Problems

An overview of intuitionistic linguistic fuzzy information aggregations and applications

“…Du and Zuo (2011) developed an extended technique for TOPSIS in which the criteria values are in the form of IULVs and the criteria weights are unknown. Joshi et al (2018) combined the TOPSIS and IVIULVs by redefining the basic operation rules and distance measure to solve the MCGDM problems.…”

“…AOs of IFLS are a new branch of IFLS, which is a meaningful and significance research issue and has attracted more and more attention. For example, some basic intuitionistic linguistic (IL) fuzzy AOs, such as intuitionistic uncertain linguistic weighted geometric mean (IULWGM) operator (Liu and Jin, 2012), ordered intuitionistic uncertain linguistic weighted geometric mean (OIULWGM) operator (Liu and Jin, 2012), interval-value IULWGM (GIULWGM) operator (Liu, 2013b) and interval-value OIULWGM (GOIULWGM) operator (Liu, 2013b); the extended MCDM approaches for IUFS, such as the extended TOPSIS (ETOPSIS) approaches (Wei, 2014;Du and Zuo, 2011;Joshi et al, 2018;Wei, 2011), the extended TODIM (ETODIM) approaches (Liu and Teng, 2015;Wang and Liu, 2017), the extended VIKOR (EVIKOR) approach (Li et al, 2017;Liu and Qin, 2017); some IL fuzzy AOs considering the interrelationships between criteria, such as IUL Bonferroni OWM (IULBOWM) operator (Liu, Chen and Chu, 2014), weighted IUL Bonferroni OWM (WIULBOWM) operator (Liu, Chen and Chu, 2014), IUL arithmetic Heronian mean (IULAHM) operator (Liu, Liu and Zhang, 2014), IUL geometric Heronian mean (IULGHM) operator (Liu, Liu and Zhang, 2014), weighted IUL arithmetic Heronian mean (WIULAHM) operator (Liu, Liu and Zhang, 2014), IUL geometric Heronian mean (WIULGHM) operator (Liu, Liu and Zhang, 2014), IUL Maclaurin symmetric mean (IULMSM) operator ( Ju et al, 2016), weighted ILMSM (WIULMSM) operator ( Ju et al, 2016); generalized intuitionistic linguistic fuzzy aggregation operators, such as generalized IL dependent ordered weighted mean (DOWM) (GILDOWM) operator (Liu, 2013a;Liu and Wang, 2014) and a generalized IL dependent hybrid weighted mean (DHWM) (GILDHWM) operator (Liu, 2013a;Liu and Wang, 2014); IL fuzzy AOs based on CI (Meng et al, 2014); induced IL fuzzy AOs (Liu and Wang, 2014;Meng et al, 2014;Xian and Xue, 2015;Yager and Filev, 1999;…”