Optimizing Farmer Selection through Neutrosophic Soft Matrix-Based Decision Making

Document Type : Research Article

Authors

1 Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore, India

2 Department of Mathematics, University of Mazandaran, Babolsar, Iran

3 Department of Physics, Sar.C., Islamic Azad University, Sari,Iran

Abstract

Complex decisions in varying domains necessitate making sense of information that is uncertain,
deficient, or internally contradictory. The Neutrosophic Soft Set (NSS) theory fulfills this need by
physically modeling truth, indeterminacy, and falsity. This research investigates NSS and their
representation via a matrix, Neutrosophic Soft Matrices (NSM), with emphasis on the operations
and comparatives indices of score, certainty, and accuracy. A series of aggregation operators are
developed to combine neutrosophic evidence, which support the development of a Neutrosophic
Multi-Criteria Decision-Making (MCDM) method based upon traditional decision rules.
Academic experience is used to illustrate the methodology applied to an agricultural context for
evaluating farmers based upon attributes like crop yield, soil condition, use of fertilizers, and pest
control. Analysis shows that use of NSM facilitates systematic evaluation and selection of a best
alternative in the presence of imprecision and uncertainty. In summary, this research supports the
idea that neutrosophic models can be useful methods for decision analysis in complicated realworld situations.

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Analytical and Numerical Solutions for Nonlinear Equations
Volume 10, Issue 1
December 2025
Pages 125-133

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History

  • Receive Date: 15 November 2025
  • Accept Date: 15 December 2025
  • Publish Date: 17 December 2025

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