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Computing Operational Matrices in Neutrosophic Environments: A Matlab Toolbox

Authors :
Said Broumi
Le Hoang Son
Assia Bakali
Mohamed Talea
Florentin Smarandache
Ganeshsree Selvachandran
Source :
Neutrosophic Sets and Systems, Vol 18, Pp 58-66 (2017)
Publication Year :
2017
Publisher :
University of New Mexico, 2017.

Abstract

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.

Details

Language :
English
ISSN :
23316055 and 2331608X
Volume :
18
Database :
Directory of Open Access Journals
Journal :
Neutrosophic Sets and Systems
Publication Type :
Academic Journal
Accession number :
edsdoj.3bcf5a29a1f64d3cafda6eaba7a38a46
Document Type :
article
Full Text :
https://doi.org/10.5281/zenodo.1175160