The Hesitant Fuzzy Linguistic TOPSIS Method Based on Novel Information Measures

Qian-Yun Tan (), Cui-Ping Wei (), Qi Liu () and Xiang-Qian Feng
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Qian-Yun Tan: School of Computer Science and Technology, Nanjing Normal University, Nanjing 210023, P. R. China
Cui-Ping Wei: College of Mathematical Sciences, Yangzhou University, Yangzhou 225002, P. R. China
Qi Liu: School of Computer Science and Technology, Nanjing Normal University, Nanjing 210023, P. R. China
Xiang-Qian Feng: School of Computer Science and Technology, Nanjing Normal University, Nanjing 210023, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2016, vol. 33, issue 05, 1-22

Abstract: Hesitant fuzzy linguistic term sets (HFLTSs) have attracted lots of attention recently due to their distinguished power and efficiency for dealing with multi-criteria decision making. To extend the applicability of HFLTSs, this paper first presents a more concise comparison formula of hesitant fuzzy linguistic term sets based on probability criterion of uniform distribution and develops novel distance measures considering the hesitance degree. Next, an aggregation scheme is designed to integrate OWD measure into the TOPSIS analysis procedure, in which we calculate different criterion weights according to the distance between criterion values and positive and negative ideal solutions. The weighted distances between the alternatives and positive and negative ideal solutions are calculated. Then the relative closeness degree to the positive ideal solution is calculated to rank all alternatives. Finally, an example is given to illustrate the capabilities and validation of the proposed algorithm.

Keywords: Multi-criteria decision making; hesitant fuzzy linguistic term sets; hesitance degree; ordered weighted distance measure; TOPSIS (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0217595916500354

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