GENERALIZED HESITANT INTUITIONISTIC FUZZY N-SOFT SETS-FIRST RESULT

Generalized hesitant intuitionistic fuzzy N-soft sets-first result

Generalized hesitant intuitionistic fuzzy N-soft sets-first result

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The study on N-soft sets (NSSs) has been significantly developed recently.Hybrid models such as fuzzy N-soft sets, Intuitionistic fuzzy N-soft sets, and hesitant fuzzy N-soft sets were introduced to combine fuzzy sets, intuitionistic fuzzy sets and hesitant fuzzy sets with NSSs.Related to the Bike Accessories - Mirrors hybrid models, it was also constructed some complements, operations and related properties.This article aims to construct a new hybrid model called hesitant intuitionistic fuzzy N-soft sets (HIFNSSs) to combine intuitionistic fuzzy N-soft sets and hesitant fuzzy N-soft sets.

Moreover, we generalise HIFNSSs to generalized hesitant intuitionistic fuzzy N-soft sets (GHIFNSSs) as a hybrid model between generalized hesitant intuitionistic fuzzy Cosmetic Set sets and N-soft sets.It was also defined some complements of GHIFNSSs, intersection and union operations between GHIFNSSs, and proved that the operations between some particular complements hold De Morgan Law.In applying a GHIFNSS, we provide an algorithm for decision-making problems and its numerical illustration.

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