Affiliations: [1] Faculty of Management Engineering, Huaiyin Institute of Technology, Huaian 223003, China | [2] School of Management, Nanchang University, Nanchang 330031, China, E-mails: lcp_mail@163.com, pb_1020@163.com
Correspondence:
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Corresponding author.
Abstract: In this paper, at first, we develop some new geometric distance measures for interval-valued intuitionistic fuzzy information, including the interval-valued intuitionistic fuzzy weighted geometric distance (IVIFWGD) measure, the interval-valued intuitionistic fuzzy ordered weighted geometric distance (IVIFOWGD) measure and the interval-valued intuitionistic fuzzy hybrid weighted geometric distance (IVIFHWGD) measure. Also, several desirable properties of these new distance measures are studied and a numerical example is given to show application of the distance measure to pattern recognition problems. And then, based on the developed distance measures a consensus reaching process with interval-valued intuitionistic fuzzy preference information for group decision making is proposed. Finally, an illustrative example with interval-valued intuitionistic fuzzy information is given.
Keywords: interval-valued intuitionistic fuzzy set, weighted geometric, distance measure, consensus reaching process, group decision making
Journal: Informatica, vol. 28, no. 3, pp. 453-470, 2017
