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Analytic Hierarchy Process (AHP) is one of the multi-criteria decision-making methods that utilize pair-wise comparison in the evaluation process. The method is later extended to the fuzzy environment to cater and solve the problem of ambiguity and imprecise information known as fuzzy AHP. In the evaluation process, the issue of incomplete information has become a prevalent problem which may lead to invalid and biased results. The incomplete information occurs commonly due to inefficiency or negligence in handling the information and also the unavailability of the information for particular instances and situations. In this paper, a fuzzy DEMATEL based method of estimating incomplete values in fuzzy AHP is proposed. An imputation approach is used in the proposed method where the incomplete information is replaced with plausible and reasonable fuzzy values in the fuzzy AHP decision matrix. A step-by-step illustration of approximating the incomplete information will be given through a numerical example. It is found out that the estimation of the incomplete information in fuzzy AHP using fuzzy DEMATEL preserved the consistency of evaluation which is a vital validity instrument of evaluation for the fuzzy AHP.

Solving incomplete fuzzy pairwise comparison matrix using fuzzy DEMATEL