Affiliations: School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao, China
Correspondence:
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Corresponding author. Shuang An, School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China. E-mail: [email protected].
Abstract: In this paper, we propose a new hybrid model called N-soft rough sets, which can be seen as a combination of rough sets and N-soft sets. Moreover, approximation operators and some useful properties with respect to N-soft rough approximation space are introduced. Furthermore, we propose decision making procedures for N-soft rough sets, the approximation sets are utilized to handle problems involving multi-criteria decision-making(MCDM), aiming at electing the optional objects and the possible optional objects based on their attribute set. The algorithm addresses some limitations of the extended rough sets models in dealing with inconsistent decision problems. Finally, an application of N-soft rough sets in multi-criteria decision making is illustrated with a real life example.
