Neutrosophic Sets and Systems (Dec 2017)

Computing Operational Matrices in Neutrosophic Environments: A Matlab Toolbox

  • Said Broumi,
  • Le Hoang Son,
  • Assia Bakali,
  • Mohamed Talea,
  • Florentin Smarandache,
  • Ganeshsree Selvachandran

DOI
https://doi.org/10.5281/zenodo.1175160
Journal volume & issue
Vol. 18
pp. 58 – 66

Abstract

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Neutrosophic set is a generalization of classical set, fuzzy set, and intuitionistic fuzzy set by employing a degree of truth (T), a degree of indeterminacy (I), and a degree of falsehood (F) associated with an element of the dataset. One of the most essential problems is studying set-theoretic operators in order to be applied to practical applications. Developing Matlab toolboxes for computing the operational matrices in neutrosophic environments is essential to gain more widely-used of neutrosophic algorithms. In this paper, we propose some computing procedures in Matlab for neutrosophic operational matrices, especially i) computing the single-valued neutrosophic matrix; ii) determining complement of a single-valued neutrosophic matrix; iii) computing max-min-min and min-max-max of two single-valued neutrosophic matrices; v) computing power of a single-valued neutrosophic matrix; vi) computing additional operation and subtraction of two single-valued neutrosophic matrices; and ix) computing transpose of a single-valued neutrosophic matrix. Numerical examples are given to illustrate their applicability.

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