The generalized dice similarity measures for multiple attribute decision making with hesitant fuzzy linguistic information

Guiwu Wei
2019 Ekonomska Istrazivanja-Economic Research  
In this paper, we shall present some novel Dice similarity measures of hesitant fuzzy linguistic term sets and the generalized Dice similarity measures of hesitant fuzzy linguistic term sets and indicate that the Dice similarity measures and asymmetric measures (projection measures) are the special cases of the generalized Dice similarity measures in some parameter values. Then, we propose the generalized Dice similarity measures-based multiple attribute decision making models with hesitant
more » ... y linguistic term sets. Finally, a practical example concerning the evaluation of the quality of movies is given to illustrate the applicability and advantage of the proposed generalized Dice similarity measures. ARTICLE HISTORY Multiple attribute decision making; generalized dice similarity measures; dice similarity measures; hesitant fuzzy linguistic term sets; asymmetric measures; projection measures; quality of movies CONTACT Guiwu Wei to solve the unbalanced linguistic term sets. Fan, Feng, Sun, and Ou (2009) evaluated the knowledge management capability of organizations by using a fuzzy linguistic method. Tai and Chen (2009) evaluated the intellectual capital with linguistic variables. Wang (2009) selected the agile manufacturing system with 2-tuple fuzzy linguistic information. Fan and Liu (2010) developed the multi-granularity uncertain linguistic group decision making model. Mart ınez & Herrera, (2012)gave an overview on the 2-tuple linguistic model for Computing with Words in Decision Making. Rodr ıguez & Mart ınez,(2013) overviewed the symbolic linguistic computing models that have been widely used in linguistic decision making to analyze if all of them can be considered inside of the computing with words paradigm. Liu, Lin, and Wu (2014) defined the dependent interval 2-tuple linguistic aggregation operators for multiple attribute group decision making. Xu, Ma, Tao, and Wang (2014) proposed some models to solve the unacceptable incomplete 2-tuple fuzzy linguistic preference relations. Estrella, Espinilla, Herrera, and Mart ınez (2014) proposed a fuzzy linguistic decision tools enhancement suite based on the 2-tuple linguistic model and extensions. Wang, Wang, Zhang, and Chen (2015) developed the multi-criteria group decision making method with interval 2-tuple linguistic information and Choquet integral aggregation operators. Dong and Herrera-Viedma (2015) proposed the consistencydriven automatic methodology in the linguistic GDM with preference relation. Dutta, Guha, and Mesiar (2015) solved the heterogeneous relationship among attributes in multi-expert decision making based on linguistic 2-tuples. Qin and Liu (2016) proposed the 2-tuple linguistic Muirhead mean operators for multiple attribute group decision making. Zhang, Xu, and Wang (2016) developed the consensus reaching model for 2-tuple linguistic multiple attribute group decision making with incomplete weight information. Zhou et al. (2017) studied the performance evaluation of experiment platforms with 2-tuple linguistic information. Yang (2017) proposed the model for evaluating the visual design quality with 2-tuple linguistic information. Yao and Khalid (2018) completed 2-tuple linguistic preference relations based on upper bound condition. Zhao et al. (2018) proposed a new emergency decision support methodology based on multi-source knowledge in 2-tuple linguistic model. The similarity measure is one of the important and useful tools for degree of similarity between objects (Hung
doi:10.1080/1331677x.2019.1637765 fatcat:qsxsnhreffcl5crni3mr4xhoe4