a new operation on soft sets: extended symmetric difference of soft sets

Introduction/purpose: molodtsov introduced the concept of soft sets as a new mathematical tool for dealing with problems containing uncertainties. in the literature, different kinds of operations of soft sets are defined and used in theory and applications. methods: this study is based on the paper a new operation on soft sets: extended difference of soft sets by sezgin, ahmad and mehmood [journal of new theory 27 (2019) 33-42]. results: in this paper, we define a new operation on soft sets, called extended symmetric difference and investigate its relationship between extended symmetric difference and restricted symmetric difference and some other operations of soft sets. conclusion: the author believes that the obtained results represent a significant improvement of many known results in the existing literature.