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

Keywords: soft sets, intersection, union, difference, extended symmetric difference

Abstract


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.

References

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Sezgin, A., Ahmad, S. & Mehmood, A. 2019. A New Operation on Soft Sets: Extended Difference of Soft Sets. Journal of New Theory, 27, pp.33-42 [online]. Available at: https://dergipark.org.tr/en/pub/jnt/issue/43609/535589 [Accessed: 20August 2021].

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Published
2021/10/28
Section
Original Scientific Papers