A fraction ranking-based multi-criteria decision-making method for water resource management under bipolar neutrosophic fuzzy environment

Kolkata city is the capital of West Bengal, India. Due to improper administration, this city has long been plagued by a drinking water shortage. The rapid urbanisation and population growth, the rising daily water demand, and the steadily falling availability of drinking water per capita are the main contributors to the city’s drinking water shortage. The sustained development of drinking water supplies in Kolkata city depends on effective water resource management. With decision-making approaches, we can easily handle the drinking water scarcity situation. Therefore, we have developed a novel multi-criteria decision-making (MCDM) technique for the sustainable development of the drinking water crisis in Kolkata city. First, we introduce a fraction ranking ( R_λ ^+, R_λ ^- ) method of single-valued triangular bipolar neutrosophic (SVTrBN) number based on grades ( V_λ ^+, V_λ ^- ) and illegibilities ( A_λ ^+, A_λ ^- ). Here, we have invented the λ -weighted positive and negative fraction index for SVTrBN-numbers. Using the fraction ranking method, we formulate a novel MCDM technique. This decision-making technique is applicable for accurate decisions, primarily when human choices depend on positive and negative effects. In addition, we give some fundamental definitions and important ethos of bipolar neutrosophic numbers. By the proposed MCDM technique, we have exercised a water resources management (WRM) problem in Kolkata under a bipolar neutrosophic environment. To check the applicability and feasibility of the proposed MCDM method, we illustrated numerically and graphically of proposed WRM problem under SVTrBN-environment.