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Pairwise Comparison and Distance Measure of Hesitant Fuzzy Linguistic Term Sets
Author(s) -
Hanchen Huang,
Xiaojun Yang
Publication year - 2014
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2014/954040
Subject(s) - pairwise comparison , measure (data warehouse) , term (time) , mathematics , distance measures , variable (mathematics) , set (abstract data type) , fuzzy set , fuzzy logic , distance matrix , artificial intelligence , group decision making , linguistics , computer science , data mining , natural language processing , statistics , algorithm , psychology , mathematical analysis , social psychology , philosophy , physics , quantum mechanics , programming language
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

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