In 2018, we presented the structure of lattice on one of the efficient hybrid models interval-valued hesitant fuzzy soft set. As a result of this intention, the new idealogy of lattice on IVHFSS was introduced with vital properties and its real life application was examined. In this current work, we instigated how the idea of homomorphism and isomorphism on is working and few concomitant theorems are proved.
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