The weighted geometric (WG) operator and the ordered weighted geometric (OWG) operator are two common aggregation operators in the field of information fusion. But these two aggregation operators are usually used in situations where the given arguments are expressed as crisp numbers or linguistic values. In this paper, we develop some new geometric aggregation operators, such as the intuitionistic fuzzy weighted geometric (IFWG) operator, the intuitionistic fuzzy ordered weighted geometric (IFOWG) operator, and the intuitionistic fuzzy hybrid geometric (IFHG) operator, which extend the WG and OWG operators to accommodate the environment in which the given arguments are intuitionistic fuzzy sets which are characterized by a membership function and a non-membership function. Some numerical examples are given to illustrate the developed operators. Finally, we give an application of the IFHG operator to multiple attribute decision making based on intuitionistic fuzzy sets. Decision Making, Mathware and Soft Computing. His current research interests include information fusion, group decision making, computing with words, and aggregation operators. Ronald R. Yager has worked in the area of fuzzy sets and related disciplines of computational intelligence for over twenty-five years. He has published over 500 papers and fifteen books. He is considered one the worlds leading experts in fuzzy sets technology. He was the recipient of the IEEE Computational to his pioneering work in the area of fuzzy logic he has made fundamental contributions in decision making under uncertainty and the fusion of information. Among his current interests is the development of intelligent semantic web technology, communication for cooperating autonomous systems, information aggregation and decision making in adversarial and uncertain environments.
Z.S.Xu et al., REF developed the concepts of intuitionistic fuzzy weighted geometric operator, intuitionistic fuzzy ordered weighted geometric operator, and intuitionistic fuzzy hybrid geometric operator to accommodate the environment in which the given arguments are intuitionistic fuzzy sets characterized by a membership function and a nonmembership function.
Some geometric aggregation operators based on intuitionistic fuzzy sets
International Journal of General Systems
Mathematics Computer Science