Premium
N ‐soft mappings with application in medical diagnosis
Author(s) -
Demir İzzettin
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7266
Subject(s) - soft set , complement (music) , mathematics , set (abstract data type) , topological space , set theory , discrete mathematics , pure mathematics , algebra over a field , calculus (dental) , computer science , complementation , artificial intelligence , medicine , biochemistry , chemistry , dentistry , programming language , gene , phenotype , fuzzy logic
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.