Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 44, Issue 8, Pages 1328-1337Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2013.2283021
Keywords
Consistency measure; group decision making (GDM); hesitant fuzzy preference relation (HFPR); hesitant fuzzy set (HFS)
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Funding
- National Natural Science Foundation of China [71071161, 61273209]
- innovation Foundation of Jiangsu Province [CXZZ12_0132]
- excellent Ph.D. thesis Foundation of Southeast University
- Best New Ph.D. of China Foundation
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In this paper, we explore the ranking methods with hesitant fuzzy preference relations (HFPRs) in the group decision making environments. As basic elements of hesitant fuzzy sets, hesitant fuzzy elements (HFEs) usually have different numbers of possible values. In order to compute or compare HFEs, we have two principles to normalize them, i. e., the alpha-normalization and the alpha-normalization. Based on the a-normalization, we develop a new hesitant goal programming model to derive priorities from HFPRs. On the basis of the beta-normalization, we develop the consistency measures of HFPRs, establish the consistency thresholds to measure whether or not an HFPR is of acceptable consistency, and then use the hesitant aggregation operators to aggregate preferences in HFPRs to obtain the ranking results.
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