MCDM based on Trapezoidal Neutrosophic Numbers for Biogas Recovery Substrates Selection Problems
DOI:
https://doi.org/10.56532/mjsat.v6i1.538Keywords:
Fuzzy Set, Neutrosophic Set, Trapezoidal Neutrosophic Numbers, Multi-Criteria Decision Making method, Biogas RecoveryAbstract
In the context of decision-making under uncertainty, fuzzy set theory has been extensively applied to model imprecise and ambiguous information. However, the absence of a falsity membership function limits its ability to fully capture the complexities of uncertain data. Neutrosophic Set (NS) theory addresses this limitation by introducing the truth, indeterminacy, and falsity functions, enabling a more comprehensive representation of uncertain, indeterminate, and inconsistent information. Despite the theoretical advancements of NS theory, its application in scientific decision-making remains limited. To bridge this gap, this paper proposes a Multi-Criteria Decision Making (MCDM) method based on Trapezoidal Neutrosophic Numbers to effectively address the uncertainty associated with substrate selection for biogas recovery. The result shows that among five biogas substrates, Palm Oil Mill Effluent Sludge is the most suitable substrates for biogas with a score of 1.4316. This is followed by Palm Oil Mill Effluent with a score of 1.0868, Carbohydrate-Rich Food Waste with 0.9081, Protein-Rich Food Waste with 0.7868, and Fiber-Rich Food Waste with 0.7410. In addition, the sensitivity analysis shows that the ranking remains stable under input variations, while comparative analysis confirms the robustness and consistency of the proposed methodology against existing approaches. These findings demonstrate that the MCDM based on Trapezoidal Neutrosophic Numbers offers a structured and reliable framework for handling uncertainty, offering practical value to decision-makers in biogas recovery and similar domains.
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