Abstract
In this paper, we introduce three novel hybrid models, namely, intuitionistic fuzzy N-soft sets (IFNSSs), N-soft rough intuitionistic fuzzy sets and intuitionistic fuzzy N-soft rough sets (IFNSRSs). We discuss some of their respective properties. We also present the lower and upper intuitionistic fuzzy N-soft rough approximation operators and investigate their properties. Furthermore, we present respective new approaches to decision-making problems based on the IFNSS and IFNSRS models in an algorithmic format. Finally, we present illustrative examples in order to show that these decision-making methods can be fruitfully employed to solve real life problems.
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