Triangle fuzzy number intuitionistic fuzzy aggregation operators and their application to group decision making

Authors:
Dongfeng Chen;Lei Zhang;Jingshan Jiao
Affiliations:
Department of Aviation Theory, Aviation University of Air Force, Changchun, Jilin, China;Department of Aviation Theory, Aviation University of Air Force, Changchun, Jilin, China;Department of Aviation Theory, Aviation University of Air Force, Changchun, Jilin, China
Venue:
AICI'10 Proceedings of the 2010 international conference on Artificial intelligence and computational intelligence: Part II
Year:
2010

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Abstract

The method on uncertain multiple attribute group decision making (MAGDM) based on aggregating intuitionistic fuzzy information is investigated. Firstly, some operational laws, score function and variation function of triangle fuzzy number intuitionistic fuzzy sets(TFNIFSs) are proposed. Then, triangle fuzzy number intuitionistic fuzzy weighted geometric (TFNIFWG) operator and triangle fuzzy number intuitionistic fuzzy ordered weighted geometric (TFNIFOWG) operator are studied. Further, a TFNIFWG and TFNIFOWG operators-based approach is developed to solve the MAGDM problems in which the attribute values take the form of TFNIFSs and the expert weights are completely unknown. Finally, some illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.