An Integrated Interval-Valued Picture Fuzzy CRITIC & TOPSIS Methodology: An Application to Disaster Debris Management

Abstract

Picture fuzzy (PF) sets show the expert's opinion about an element's membership or non-membership in the set, as well as the expert's indecision about the element's membership in the set. Interval-valued PF sets (IVPFSs) offer more flexibility than single-valued PF sets in assigning the mentioned degrees. Picture fuzzy multi-criteria decision making methods or methodologies are superior to other methods or methodologies since they can take these opinions of the experts into account in the decision mechanism. CRITIC method is a criteria weighting method based on statistical terms such as correlation coefficients and standard deviations, which has become popular recently. In this paper, the PFCRITIC method will be used to calculate the weights of the criteria and the PF-TOPSIS method is used to rank the alternatives. The proposed multi-experts IVPF CRITIC&TOPSIS methodology is applied to the post-disaster location selection of debris waste sites in Istanbul. In the comparison analysis, the integrated methodology is compared with crisp TOPSIS method based on the same data. The results show that the integrated methodology gives a consistent ranking with slight differences in closeness coefficients.