In order to count partial orders on a set of n points, it seems necessary to explicitly construct a representative of every isomorphism type. While that is done, one might as well determine their automorphism groups. In this note it is shown how several other types of binary relations can be counted, based on an explicit enumeration of the partial orders and their automorphism groups. A partial...

Introduction/purpose: Molodtsov introduced the concept of soft sets as a new mathematical tool for dealing with problems containing uncertainties. In literature, different kinds operations are defined and used in theory applications. Methods: This study is based on paper "A New Operation Soft Sets: Extended Difference Sets" by Sezgin, Ahmad Mehmood [Journal Theory 27 (2019) 33-42]. Results: thi...