A Method for Group Decision Making Based on Interval-Valued Intuitionistic Fuzzy Geometric Distance Measures

Liu, Changping; Peng, Bo

doi:10.15388/Informatica.2017.138

Informatica

A Method for Group Decision Making Based on Interval-Valued Intuitionistic Fuzzy Geometric Distance Measures

Volume 28, Issue 3 (2017), pp. 453–470

Changping Liu Bo Peng

https://doi.org/10.15388/Informatica.2017.138

Pub. online: 1 January 2017 Type: Research Article

Open Access

Received
1 February 2015

Accepted
1 October 2016

Published
1 January 2017

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.

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Biographies

Liu Changping

lc_pmail@163.com

C. Liu was born in 1974, graduated from University of Shanghai for Science and Technology and obtained the PhD degree in management science and engineering in 2013. At present, he is an associate professor of Huaiyin Institute of Technology. He has published more than 50 papers in journals, books and conference proceedings. He is currently interested in decision making and production and operations management.

Peng Bo

pb_1020@163.com

B. Peng was born in 1983, graduated from Hefei University of Technology and obtained the master’s degree in applied mathematics in 2008. He obtained the PhD degree in management science and engineering at University of Shanghai for Science and Technology in 2014. At present, he is an associate professor of Nanchang University and post doctor in School of Management of Fudan University. He has published more than 40 papers in journals, books and conference proceedings including journals such as Knowledge-Based Systems, Informatica, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. He is currently interested in uncertainty, fuzzy decision making and logistic engineering.

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Keywords

interval-valued intuitionistic fuzzy set weighted geometric distance measure consensus reaching process group decision making

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