Some induced ordered weighting averaging operators to solve decision problems based on fuzzy preference relations.

In [14] Yager and Filev introduced the Induced Ordered Weighted Averaging (IOWA) operator. In this paper, we provide some IOWA operators to aggregate fuzzy preference relations in group decision making problems. In particular, we present the Importance IOWA (I-IOWA) operator, the Consistency IOWA (C-IOWA) operator and the Preference IOWA (P-IOWA) operator. We also provide a procedure to deal with ‘ties’ with respect to the ordering induced by the application of one of these IOWA operators different to the one proposed by Yager and Filev. Finally, we analyse the reciprocity and consistency properties of the collective fuzzy preference relations obtained using IOWA operators.

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