On Neutrosophic Soft Field

Tuhin Bera; Nirmal Kumar Mahapatra

doi:https://doi.org/10.14445/22315373/IJMTT-V56P562

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 7 | Year 2018 | Article Id. IJMTT-V56P562 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P562

On Neutrosophic Soft Field

Tuhin Bera, Nirmal Kumar Mahapatra

Citation :

Tuhin Bera, Nirmal Kumar Mahapatra, "On Neutrosophic Soft Field," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 7, pp. 472-492, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P562

Abstract

The concept of ‘Field’ plays an important role in defining the algebraic structure ‘Linear Space’. Following the definition of neutrosophic soft field and it's element namely neutrosophic soft scalar introduced in [29], their structural characteristics have been investigated in the present paper. Then the neutrosophic soft function over a crisp field is defined and illustrated by suitable examples. In continuation, the nature of neutrosophic soft homomorphic image and pre-image of a neutrosophic soft field are studied here. Finally, the concept of neutrosophic soft algebra over a neutrosophic soft field has been proposed along with the establishment of some related theorems.

Keywords

Neutrosophic soft field, Cartesian product of neutrosophic soft fields, Neutrosophic soft subfield, Neutrosophic soft homomorphism, Neutrosophic soft algebra.

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