Prioritizing Facility Location Selection Criteria Using Proportional Spherical Fuzzy AHP Method

Abstract

We use the extended proportional spherical fuzzy (SF) analytic hierarchy method (AHP) method in the prioritization of the considered criteria in a facility location selection problem. A problem with the extensions of ordinary fuzzy sets is that they require decimal numbers for membership, non-membership and indecision degrees of an element from the experts, which cannot be easily determined. The proportional fuzzy sets ease this process and make it more correct. Location of raw materials, proximity to markets, labor factors, community considerations, and availability of utilities are the considered criteria of the location selection problem. The proposed PSF AHP could determine the weights more consistently and efficiently than the existing fuzzy AHP approaches.