caa a22 4500 605469032 CHVBK 20210128100320.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s00500-014-1393-7 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1393-7 Interval-valued intuitionistic fuzzy multi-criteria group decision making based on cross entropy and 2-additive measures [Elektronische Daten] [Fanyong Meng, Xiaohong Chen] The purpose of this study is to develop an approach to interval-valued intuitionistic fuzzy multi-criteria group decision making with incomplete weight information and interactive conditions. Based on the given cross entropy of interval-valued intuitionistic fuzzy sets and the Shapley function with respect to 2-additive measures, models for the optimal fuzzy measures on an expert set and on an criteria set are established, respectively. If there are no interactive characteristics, then we get models for the optimal additive weight vectors. To get the comprehensive criteria values of the alternatives, two aggregation operators based on the Shapley function with respect to 2-additive measures are defined. Since the experts' knowledge, skills and experiences are different, the weights of the experts are determined with respect to each criterion. Finally, a practical decision-making problem under interval-valued intuitionistic fuzzy environment is selected to illustrate the effectiveness of the proposed procedure. Springer-Verlag Berlin Heidelberg, 2014 Interval-valued intuitionistic fuzzy set nationallicence 2-additive measure nationallicence Shapley function nationallicence Cross entropy nationallicence Meng Fanyong School of Business, Central South University, 410083, Changsha, China aut Chen Xiaohong School of Business, Central South University, 410083, Changsha, China aut Soft Computing Springer Berlin Heidelberg 19/7(2015-07-01), 2071-2082 1432-7643 19:7<2071 2015 19 500 https://doi.org/10.1007/s00500-014-1393-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00500-014-1393-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Meng Fanyong School of Business, Central South University, 410083, Changsha, China aut NATIONALLICENCE 700 1- Chen Xiaohong School of Business, Central South University, 410083, Changsha, China aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/7(2015-07-01), 2071-2082 1432-7643 19:7<2071 2015 19 500