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Published in:
2017 | OriginalPaper | Chapter
6. Heterogeneous Multiple Criteria Group Decision Analysis
Authors : Xiaolu Zhang, Zeshui Xu
Published in: Hesitant Fuzzy Methods for Multiple Criteria Decision Analysis
Publisher: Springer International Publishing
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Abstract
The purpose of this chapter is to develop the deviation modeling method to deal with the heterogeneous MCGDM problems with incomplete weight information in which the decision information is expressed as real numbers, interval numbers, linguistic variables, IFNs, HFEs and HFLTSs. The most characteristic of the deviation modeling method is that it does not unify the heterogeneous information but directly calculates the distances to the PIS and NIS. Compared with Li et al. (2010b)’s method, the advantages of the developed method are that (1) it can accommodate more complicated decision data, including IFNs, HFEs and HFLTSs; (2) it utilizes the maximization deviation model to determine objectively the weights of the criteria for each expert, which avoids the subjective randomness of selecting the weights; (3) it can consider fully the consistency between the opinions of the individual experts and the group, thus the final decision results derived by it are more persuasive.