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180. Facility Location Selection Problem based on Picture Fuzzy TOPSIS

Invited abstract in session WA-47: Fuzzy sets and systems, stream Multiple Criteria Decision Analysis.

Wednesday, 8:30-10:00
Room: 50 (building: 324)

Authors (first author is the speaker)

1. Irina Khutsishvili
Department of Computer Sciences, Iv.Javakhishvili Tbilisi State University
2. Gia Sirbiladze
Department of Computer Sciences, Iv.Javakhishvili Tbilisi State University

Abstract

In the present research, a decision support methodology for facility location selection problems is developed. The methodology is based on the TOPSIS (Technique for Order Performance by Similarity to Ideal Solution) approach under a picture fuzzy environment. We are focusing on a special case of facility location problem, namely location planning for service centers. A set of potential center sites, or alternatives, are typically involved in this kind of challenge, and they are assessed based on some weighted criteria. The alternative that best meets each criterion will be selected for implementation. To evaluate criteria our approach uses experts' assessments, that is in the proposed methodology the values of the criteria are expressed in picture fuzzy numbers, given by the group of experts. The case when the information on the criteria weights is completely unknown is considered. In the context of picture fuzzy sets, the criteria weights identification based on De Luca-Termini information entropy is presented. Hence, the proposed approach is based on a picture fuzzy TOPSIS decision-making model with entropy weights. The fuzzy positive-ideal solution (FPIS) and fuzzy negative-ideal solution (FNIS) are first defined using the TOPSIS algorithm. Then the ranking of alternatives is performed following the proximity of their distances to both FPIS and FNIS. For this purpose, the picture weighted Hamming distance is used.

Keywords

Status: accepted

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