Affiliations:
Department of Mathematics, Alagappa University, Karaikudi, Tamil Nadu, India
Correspondence:
[*]
Corresponding author. Vimala Jayakumar, Department of Mathematics, Alagappa University, Karaikudi, Tamil Nadu, India. E-mail: [email protected].
Abstract: Every day, the globe becomes more contemporary and industrialized. As a result, the number of vehicles and engines is growing. However, the energy sources utilized in these engines are scarce and dwindling over time. This circumstance prompts the search for alternate fuel. As civilization develops, transportation becomes a need for daily living. The largest issue is the diminishing supply of fossil fuels and the expanding population. As a result, everyone needs alternate energy sources for their automobiles. Therefore, in this investigation, we identify the best substitute for petrol. We offer the similarity measure(SM) for a hybrid structure of a Linear Diophantine Multi-Fuzzy Soft Set(LDMFSS) with the goal of determining this issue. Because the range of grade values has been expanded, decision-makers now have greater freedom in selecting their grade. An exemplary case study is illustrated that shows the appropriateness of our recommended approach. A comparative analysis is provided to show the outcomes of the proposed method are more achievable and beneficial than those of the existing methodologies. Additionally, its applicability and attainability are evaluated by comparing its structure to those of the already used procedures.
Keywords: Linear diophantine multi-fuzzy soft set, similarity measures, fossil fuels, alternative fuel, fuel specifications
