On Construction of Codes by using Fuzzy Sets and Soft Sets

Avinash J. Kamble

doi:https://doi.org/10.14445/22315373/IJMTT-V47P523

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 47 | Number 3 | Year 2017 | Article Id. IJMTT-V47P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P523

On Construction of Codes by using Fuzzy Sets and Soft Sets

Avinash J. Kamble

Citation :

Avinash J. Kamble, "On Construction of Codes by using Fuzzy Sets and Soft Sets," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 3, pp. 180-184, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P523

Abstract

The objective of this paper is to study the codes arising from Fuzzy sets and Soft sets.Properties of fuzzy linear codes and fuzzy cyclic codes are discussed by means of fuzzy linear space. P-fuzzy sets are considered as mapping from an arbitrary non-empty set Sinto a partially ordered setPwhich determines a binary block code Vof lengthn. At last, the codes developed by using soft sets,called soft codes(soft linear codes) are discussed with examples.

Keywords

Fuzzy linear code, P-fuzzy set, Soft set, Soft linear code.

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