Abstract

In this article codes over lattice valued intuitionistic fuzzy set type‐3 (LIFS‐3) are defined. Binary block codes and linear codes are constructed over LIFS‐3. Hamming distance and related properties of these newly established codes are examined. The research findings are applied to genetic codes. The set L of sixty‐four codons is converted into a lattice and then codes are created over the set S of twenty amino acids by defining membership and nonmembership functions from the set of twenty amino acids to the sixty‐four codon set. Comparison of codes over L‐fuzzy set and LIFS‐3 conducted in terms of hamming distance for codon system that ensures the efficiency of newly established codes.

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