Decision through novel ranking of generalized symmetric pentagonal interval-valued fuzzy criteria for sustainable regional selection

Abstract

Making forecasts about the relative sustainability of different geographic places for human habitation is gaining popularity in today’s culture. Every individual is required to fulfil a specific role or purpose within a given context, although the determination of an appropriate environment for habitation remains uncertain. There still needs to be more clarity regarding sustainable regional selection. This paper employs the novel fuzzy TOPSIS method to address the group decision-making problem. The present study proposed a new ranking of generalized linear symmetric pentagonal interval-valued fuzzy number (GLSPIFN) and defuzzification of GLSPIFN on the centroid method, which aims to address the inherent ambiguity and uncertainty associated with the input decision matrix in the novel fuzzy TOPSIS technique. A numerical example demonstrates the sustainable regional selection, with ‘Region 3’ ranked first, followed by ‘Region 2’, ‘Region 4’, and ‘Region 1’. Comparative analysis and sensitivity analysis are performed to validate the proposed methodology.