RETRACTED: Fuzzy <i>N</i> -soft sets: A novel model with applications

Abstract

This article introduces a new hybrid model called fuzzy N-soft sets. It is a suitable combination of fuzzy set theory with N-soft sets, a model that in turn extends soft sets. Our novel concept is illustrated with real life examples, which have uncertainties in data that can be correctly captured b y this structure. Moreover, we investigate some useful properties of fuzzy N-soft sets and construct fundamental operations on them. Furthermore, its relationships with existing models like N-soft sets, soft sets and fuzzy sets are studied too. Finally, potential applications of fuzzy N-soft sets in decision-making are presented with algorithms.