Affiliations: [a] Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
| [b] BORDA Research Unit and IME, University of Salamanca, Salamanca, Spain
Correspondence:
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Corresponding author. Muhammad Akram. E-mail: makrammath@yahoo.com.
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 by 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.
