*Article* **Application of Hexagonal Fuzzy MCDM Methodology for Site Selection of Electric Vehicle Charging Station**

**Arijit Ghosh 1, Neha Ghorui 2, Sankar Prasad Mondal 3,\*, Suchitra Kumari 4, Biraj Kanti Mondal 5, Aditya Das <sup>6</sup> and Mahananda Sen Gupta <sup>4</sup>**


**Abstract:** In this paper, the application of hexagonal fuzzy multiple-criteria decision-making (MCDM) methodology for the site selection of electric vehicle charging stations is considered. In this regard, four factors and thirteen sub-factors have been taken into consideration for E-vehicle charging site selection. In this research, the geographic information system (GIS) has been incorporated with MCDM techniques. The fuzzy analytic hierarchy process (FAHP) is used to obtain a fuzzy weight of factors and sub-factors. MCDM tools fuzzy technique for order of preference by similarity to ideal solution (FTOPSIS) and fuzzy complex proportional assessment (FCOPRAS) have been used to rank the selected sites. A centroid-based method for defuzzification and distance measure between two hexagonal fuzzy numbers (HFN) has been developed for this paper. A practical example in Howrah, India, is considered to show the applicability and usefulness of the model. The results depict the suitability of the proposed research. Comparative and sensitivity analyses have been demonstrated to check the reliability, robustness and effectiveness of the proposed method.

**Keywords:** site selection; FAHP; FTOPSIS; FCOPRAS; hexagonal fuzzy number
