Abstract
Fatimah et al. suggested different complement operations for N‐soft sets. However, these operations do not comply with De Morgan's laws and double complementation law for N‐soft sets. So we do not restate some classical theorems on topological spaces in the realm of N‐soft sets. Besides, the mappings are a basic mathematical tool which is utilized in numerous areas of mathematics, other sciences, and their applications. But there is not any note on the mappings in the setting of N‐soft set theory. To deal with these problems, firstly, we advance the concept of complement of an N‐soft set and demonstrate that De Morgan's laws and double complementation law are satisfied in N‐soft set theory according to this new definition. Then we present an idea of the N‐soft mappings and investigate some of their properties. Also, we illustrate given properties with examples and counter examples. Finally, using the N‐soft mappings, we describe a mathematical system design for diagnosing purpose of the Covid‐19 disease.
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