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Authors' ORCIDs

Hamiden Abd El-Wahed Khalifa: https://orcid.org/0000-0002-8269-8822

Moodi Abdulrahman Abdullah Al-Rajeh: https://orcid.org/0009-0002-1325-0060

Sultan S. Alodhaibi: https://orcid.org/0000-0002-0064-1110

Article Type

Research Article

Abstract

Neutrosophic sets (NSs) generalize the classical versions, by providing a flexible framework capable of representing incomplete, inconsistent, and unclassified data that frequently arises in practical decision frameworks. In this study, a linear fractional programming (LFP) problem with uncertain parameters is investigated. All coefficients in the objective function (OF) as well as the left- and right-hand sides of the constraints are represented using fully trapezoidal neutrosophic numbers (NNs). By employing a suitable score function, the proposed neutrosophic LFP model is transformed into an equivalent scalar LFP problem. Subsequently, a parametric solution procedure is established to regulate the neutrosophic optimum solution. This method is based on the parametric analysis of an associated linear substitution problem. The proposed approach offers enhanced analytical insight into the underlying decision-making process, thereby assisting decision makers (DMs) in understanding the impact of uncertainty more effectively. Moreover, it requires relatively low computational effort while maintaining solution accuracy. To show the realism and presentation of the suggested method, a representative mathematical illustration is provided. The paper is concluded with a summary of the main findings, together with suggestions for possible future research directions.

Keywords

LFP, Parametric approach, Interval-valued trapezoidal neutrosophic numbers, Optimal solution

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