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Mathematical Problems in Engineering
Volume 2014, Article ID 954040, 8 pages
Research Article

Pairwise Comparison and Distance Measure of Hesitant Fuzzy Linguistic Term Sets

1Department of Tourism and MICE, Chung Hua University, Hsinchu 30012, Taiwan
2Luoyang Electronic Equipment Test Center, Luoyang, Henan 471003, China

Received 10 April 2014; Accepted 3 July 2014; Published 4 August 2014

Academic Editor: Ker-Wei Yu

Copyright © 2014 Han-Chen Huang and Xiaojun Yang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A hesitant fuzzy linguistic term set (HFLTS), allowing experts using several possible linguistic terms to assess a qualitative linguistic variable, is very useful to express people’s hesitancy in practical decision-making problems. Up to now, a little research has been done on the comparison and distance measure of HFLTSs. In this paper, we present a comparison method for HFLTSs based on pairwise comparisons of each linguistic term in the two HFLTSs. Then, a distance measure method based on the pairwise comparison matrix of HFLTSs is proposed, and we prove that this distance is equal to the distance of the average values of HFLTSs, which makes the distance measure much more simple. Finally, the pairwise comparison and distance measure methods are utilized to develop two multicriteria decision-making approaches under hesitant fuzzy linguistic environments. The results analysis shows that our methods in this paper are more reasonable.