“…Permutations in groups are studied in a variety of domains 5,6,7,8,9,10,11,12 . Many types of non-classical sets in topology, groups, and algebras, including as permutation sets 13,14,15,16,17,18,19,20 , fuzzy 21,22,23,24,25,6,27,28,29,30,31,32 , soft 33,34,35,36,37,38,39,40 , nano sets 41 , neutrosophic sets 42,43,44,45,46,47,48,49 , and others 50,51 have examined and addressed some notions and features.…”