A contribution to complementary soft binary piecewise plus and gamma operations

Year 2023, Volume: 4 Issue: 1, 1 - 19, 02.07.2023

Aslıhan Sezgin , Emre Akbulut

https://doi.org/10.54559/jauist.1312656

Cited By: 1

Abstract

Molodtsov, in 1999, introduced soft set theory as a mathematical tool to deal with uncertainty. Since then, different kinds of soft set operations have been defined and used in various types. In this paper, it is aimed to contribute to the soft set literature by obtaining the distributions of soft binary piecewise operations over complementary soft binary piecewise plus and gamma operations.

Keywords

Soft sets, conditional complements, soft set operations

Project Number

YOK

References

• D. A. Molodtsov, Soft set theory–first results, Computers and Mathematics with Applications 37 (4-5) (1999) 19–31.
• D. Pei, D. Miao, From soft sets to information systems, in: X. Hu, Q. Liu, A. Skowron, T. Y. Lin, R. R. Yager, B. Zhang (Eds.), International Conference on Granular Computing, Beijing, 2005, pp. 617–621.
• P. K. Maji, R. Biswas, A. R. Roy, Soft set theory, Computers and Mathematics with Applications 45 (1) (2003) 555–562.
• M. I. Ali, M. I. Ali, F. Feng, X. Liu, W. K. Min, M. Shabir, On some new operations in soft set theory, Computers and Mathematics with Applications 57 (9) (2009) 1547–1553.
• A. Sezgin, A. O. Atagün, On operations of soft sets, Computers and Mathematics with Applications 61 (5) (2011) 1457–1467.
• A. Sezgin, S. Ahmad, A. Mehmood, A new operation on soft sets: Extended difference of soft sets, Journal of New Theory (27) (2019) 33–42.
• N. S. Stojanovic, A new operation on soft sets: Extended symmetric difference of soft sets, Military Technical Courier 69 (4) (2021) 779–791.
• N. Çağman, Conditional complements of sets and their application to group theory, Journal of New Results in Science 10 (3) (2021) 67–74.
• A. Sezgin, N. Çağman, A. O. Atagün, F. Aybek, Complemental binary operations of sets and their application to group theory, Matrix Science Mathematic 7 (2) (2023) 91–98.
• F. Aybek, New restricted and extended soft set operations, Master’s Thesis Amasya University (2024) Amasya.
• A. M. Demirci, New type of extended operations of soft set: Complementary extended plus, union and theta operations, Master’s Thesis Amasya University (2024) Amasya.
• M. Sarıalioğlu, New type of extended operations of soft set: Complementary extended gamma, intersection and star operations, Master’s Thesis Amasya University (2024) Amasya.
• E. Akbulut, New type of extended operations of soft set: Complementary extended lambda and difference operations, Master’s Thesis Amasya University (2024) Amasya.
• Ö. F. Eren, On soft set operations, Master’s Thesis Ondokuz Mayıs University (2019) Samsun.
• E. Yavuz, Soft binary piecewise operations and their properties, Master’s Thesis Amasya University (2024) Amasya.
• A. Sezgin, A. O. Atagün, New soft set operation: Complementary soft binary piecewise plus operation, Matrix Science Mathematic 7 (2) (2023) 107–124.
• A. Sezgin, F. Aybek, New soft set operation: Complementary soft binary piecewise gamma operation, Matrix Science Mathematics 7 (1) (2023) 27–45.
• A. Sezgin, F. Aybek, N. B. Güngör, New soft set operation: Complementary soft binary piecewise union operation, Acta Informatica Malaysia (7) 1 (2023) 38–53.
• A. Sezgin, F. Aybek, A. O. Atagün, New soft set operation: Complementary soft binary piecewise intersection operation, Black Sea Journal of Engineering and Science 6 (4) (2023) 330–346.
• A. Sezgin, A. M. Demirci, New soft set operation: Complementary soft binary piecewise star operation, Ikonion Journal of Mathematics 5 (2) (2023) 24–52.
• A. Sezgin, E. Yavuz, New soft set operation: Complementary soft binary piecewise lambda operation, Sinop University Journal of Natural Sciences (in press).