Applying FQFD and Utility Representative Functions Under Fuzzy Environment for FMCDM

摘要

In this paper, we apply fuzzy quality function deployment (FQFD) and utility representative functions under fuzzy environment for fuzzy multi-criteria decision-making (FMCDM). In the FMCDM, criteria weights can present both consumers' opinions and experts' opinions. Consumers' opinions are expressed by fuzzy importance levels of customer needs, experts' opinions are presented by fuzzy relationship strength ratings for customer needs on skill needs, and the two opinions are integrated by FQFD. In addition to importance levels of customer needs and relationship strength ratings for customer needs on skill needs being fuzzy numbers, performance criteria ratings of alternatives are also displayed by fuzzy numbers in FMCDM. Thus, multiplying fuzzy numbers and aggregating several pooled fuzzy numbers formed by multiplying fuzzy numbers are critical on computation. Practically, the fuzzy computations are hard. In this paper, we use utility representative functions of multiplication and aggregation on fuzzy numbers to resolve the computation ties, especially for multiplying three fuzzy numbers. In addition, we compare the proposed method with other FMCDM methods to demonstrate our method's feasibility and rationality. Therefore, FMCDM can be finished easily and efficiently through associating FQFD with the utility representative functions of fuzzy numbers applied.