An Extended VIKOR Method for Decision Making Problem with Interval-Valued Linguistic Intuitionistic Fuzzy Numbers Based on Entropy

Liu, Peide; Qin, Xiyou

doi:10.15388/Informatica.2017.151

Informatica

An Extended VIKOR Method for Decision Making Problem with Interval-Valued Linguistic Intuitionistic Fuzzy Numbers Based on Entropy

Volume 28, Issue 4 (2017), pp. 665–685

Peide Liu Xiyou Qin

https://doi.org/10.15388/Informatica.2017.151

Pub. online: 1 January 2017 Type: Research Article

Open Access

Received
1 October 2016

Accepted
1 August 2017

Published
1 January 2017

Abstract

In this paper, with respect to how to express the complex fuzzy information, we proposed the concept of interval-valued linguistic intuitionistic fuzzy numbers (IVLIFNs), whose membership and non-membership are represented by interval-valued linguistic terms, then the Hamming distance is defined, further, we also proposed the interval-valued linguistic intuitionistic fuzzy entropy. Considering that the VIKOR method can achieve the maximum “group utility” and minimum of “individual regret”, we extended the VIKOR method to process the interval-valued linguistic intuitionistic fuzzy information (IVLIFI), and proposed an extended VIKOR method for the multiple attribute decision making (MADM) problems with IVLIFI. And an illustrative example shows the effectiveness of the proposed approach.

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Biographies

Liu Peide

peide.liu@gmail.com

P. Liu received the BS and MS degrees in signal and information processing from Southeast University, Nanjing, China, in 1988 and 1991, respectively, and the PhD degree in information management from Beijng Jiaotong University, Beijing, China, in 2010.

He is currently a professor with the School of Management Science and Engineering, Shandong University of Finance and Economics, Shandong, China. He is an associate editor of the Journal of Intelligent and Fuzzy Systems, a member of the editorial board of the journal Technological and Economic Development of Economy, and a member of editorial boards of other 12 journals. He has authored or co-authored more than 170 publications. His research interests include aggregation operators, fuzzy logic, fuzzy decision making, and their applications.

Qin Xiyou

X. Qin received the BS degree in computer sciences, Shandong Jianzhu University, Jinan, China, in 2015. Now he is studying for master’s degree in management science and engineering, Shandong University of Finance and Economics, Shandong, China.

He has authored or co-authored more than 4 publications. His research interests include aggregation operators, fuzzy logic, fuzzy decision making, and their applications.

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Keywords

multiple attribute decision making interval-valued linguistic intuitionistic fuzzy numbers interval-valued linguistic intuitionistic fuzzy entropy VIKOR method

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