A Python Tool for Implementations on Bipolar Neutrosophic Matrices


  • Selçuk Topa
  • Said Broumi
  • Mohamed Talea
  • Florentin Smarandache


Python, Neutrosophic sets, bipolar neutrosophic sets, matrix, composition operation


Bipolar neutrosophic matrices (BNM) are obtained by bipolar neutrosophic sets. Each
bipolar neutrosophic number represents an element of the matrix. The matrices are representable
multi-dimensional arrays (3D arrays). The arrays have nested list data type. Some operations,
especially the composition is a challenging algorithm in terms of coding because there are so many
nested lists to manipulate. This paper presents a Python tool for bipolar neutrosophic matrices. The
advantage of this work, is that the proposed Python tool can be used also for fuzzy matrices, bipolar
fuzzy matrices, intuitionistic fuzzy matrices, bipolar intuitionistic fuzzy matrices and single valued
neutrosophic matrices.


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How to Cite

Selçuk Topa, Broumi, S., Mohamed Talea, & Smarandache, F. (2019). A Python Tool for Implementations on Bipolar Neutrosophic Matrices. Neutrosophic Sets and Systems, 28, 138-161. Retrieved from http://fs.unm.edu/NSS2/index.php/111/article/view/241