Some geometric aggregation operators based on interval intuitionistic uncertain linguistic variables and their application to group decision making

Special Issue “Intuitionistic Fuzzy Theory and Its Application in Economy, Technology and Management”

“…(1) Research on the fundamental theory of intuitionistic fuzzy sets, include: the operational laws, information entropy, distances, similarity and comparison methods for intuitionistic fuzzy sets; aggregation function and aggregation operators for intuitionistic fuzzy information, such as generalized aggregation operator, Sugeno and Choquet integral operators, prioritized aggregation operators, power average operators, Bonferroni mean, dependent aggregation operators, density weighted average operators and so on Liu 2013aLiu , 2013bLiu, Yu 2013;. (2) Research on the decision making methods, mainly include: extensions of the traditional decision making methods to intuitionistic fuzzy sets, such as TOPSIS (Wang et al 2015), VIKOR (Peng et al 2015), ELECTRE (Liu, Zhang 2011;Ebrahimnejad et al 2015;Hashemi et al 2016), TODIM (Li et al 2015), DEMATEL (Govindan et al 2015), MOORA (Pérez-Domínguez et al 2015), MULTIMOORA , COPRAS (Hajiagha et al 2013a), DEA (Hajiagha et al 2013b; and so on are extended to intuitionistic fuzzy information, we can call these extensions the extended decision making methods; another decision making methods are based on the aggregation operators, and can provide the comprehensive values by aggregating the criteria information.…”

2-Dimension Uncertain Linguistic Generalized Normalized Weighted Geometric Bonferroni Mean and Its Application in Multiple Attribute Decision Making

“…The information aggregation operators are receiving more and more attention [23][24][25][26][27][28][29][30][31][32][33][34]. In addition, Bonferroni [35] originally proposed a Bonferroni Mean (BM), which could capture the interrelationships of the attributes.…”

Multi-attribute group decision making based on Choquet integral under interval-valued intuitionistic fuzzy environment

“…For example, Farhadinia 31 generalized recent results for the entropy of interval-valued fuzzy set (IVFS) based on the intuitionistic distance measure and its relationship with the similarity measure, and then applied them to interval-valued intuitionistic fuzzy decision making problem. Liu 32 developed some geometric aggregation operators based on interval-valued intuitionistic uncertain linguistic variables and some desirable properties were discussed as well. Wang and Li 34 proposed a framework to handle multi-attribute group decision making (MAGDM) problems with incomplete pair-wise comparison preference over decision alternatives.…”

“…To overcome these limitations, Atanassov and Gargov 18 proposed the concept of the interval-valued intuitionistic fuzzy set (IVIFS), in which the attributes are taken the form with interval-valued intuitionistic fuzzy number (IVIFN). Many studies were completed in recent years and various approaches to solve MADM problems under interval-valued intuitionistic fuzzy environment have been developed 24,25,26,27,28,29,30,31,32,33,34 . For example, Farhadinia 31 generalized recent results for the entropy of interval-valued fuzzy set (IVFS) based on the intuitionistic distance measure and its relationship with the similarity measure, and then applied them to interval-valued intuitionistic fuzzy decision making problem.…”