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Dergiler / Journal of Amasya University the Institute of Sciences and Technology / 2023 / Cilt: 4 Sayı: 1

A CONTRIBUTION TO COMPLEMENTARY SOFT BINARY PIECEWISE PLUS AND Γ OPERATIONS

Aslıhan SEZGİN
Emre AKBULUT
Sayfa
1–33
Yayın Tarihi
2023-07-02
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, it is aimed to contribute to the soft set literature by obtaining the distibutions of soft binary piecewise operations over complementary soft binary piecewise plus and gama operations.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Molodtsov, in 1999, introduced soft set theory as mathematical a tool to deal with uncertainty.
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Temel Bulgular & Veri:Since then, different kinds of soft set operations have been defined and used in various types.
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Sonuç & Katkı:In this paper, it is aimed to contribute to the soft set literature by obtaining the distibutions of soft binary piecewise operations over complementary soft binary piecewise plus and gama operations.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:SOFT SET · SOFT SET OPERATIONS · CONDITIONAL COMPLEMENTS

Abstract

Molodtsov, in 1999, introduced soft set theory as mathematical a 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 distibutions of soft binary piecewise operations over complementary soft binary piecewise plus and gama operations.

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Bu Makaleye Atıf Yap

SEZGİN, A., AKBULUT, E. (2023). A CONTRIBUTION TO COMPLEMENTARY SOFT BINARY PIECEWISE PLUS AND Γ OPERATIONS. Journal of Amasya University the Institute of Sciences and Technology, Cilt: 4 Sayı: 1, 1–33. https://ajindex.com/articles/952473

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Kaynakça (8)

  1. Ali M.I., Feng F., Liu X., Min W.K., Shabir M. (2009). On some new operations in soft set theory. Computers and Mathematics with Applications, 57(9): 1547-1553. Eren Ö.F. and Çalışıcı H. On some operations of soft sets in the Fourth International Conference on Computational Mathematics and Engineering Sciences (CMES-2019), 2019,
  2. Antalya. Çağman N. (2021). Conditional complements of sets and their application to group theory. Journal of New Results in Science, 10 (3): 67-74.
  3. Molodtsov, D. (1999). Soft set theory-first results. Computers and Mathematics with Applications, 37 (1): 19-31.
  4. Maji, P.K, Bismas. R., Roy, A.R. (2003). Soft set theory. Computers and Mathematics with Applications, 45 (1): 555-562.
  5. Pei, D. and Miao, D. (2005). From Soft Sets to Information Systems. In: Proceedings of Granular Computing. IEEE, 2: 617-621.
  6. Sezgin, A. and Akbulut, E. (2023). New type of extended operations of soft set: Complementary extended lambda and difference operations. MSc. Thesis. Amasya University, The Graduate School of Natural and Applied Sciences, Amasya, Turkey, unpublished thesis. Sezgin, A. and Atagün, A.O. (2011). On operations of soft sets. Computers and Mathematics with Applications, 61(5):1457-1467.
  7. Sezgin A. and Atagün, A.O. (2023). New soft set operation: Complementary soft binary piecewise plus operation. unpublished results. Sezgin, A. Çağman, N and Aybek, F. (2023a). New conditional complements of sets and their application to group theory, unpublished results. Sezgin. A. and Aybek F. (2023a). New restricted and extended soft set operations, MSc. Thesis. Amasya University, The Graduate School of Natural and Applied Sciences, Amasya, Turkey, unpublished thesis. Sezgin A. and Aybek, F. (2023b). New soft set operation: Complementary soft binary piecewise gamma operation. Matrix Science Mathematics, 7 (1): 27-45.
  8. Sezgin A, Aybek F., Güngör Bilgili N. 2023b. New soft set operation: Complementary soft binary piecewise union operation. unpublished results. Sezgin A, Aybek F., Atagün AO. 2023c. New soft set operation: Complementary soft binary piecewise intersection operation. unpublished results. Sezgin A. and Çağman, N. (2023). New soft set operation: Complementary soft binary piecewise difference operation. unpublished results. Sezgin, A. and Demirci A.M. (2023a). New type of extended operations of soft set: Complementary extended plus, union and theta operations. MSc. Thesis. Amasya University, The Graduate School of Natural and Applied Sciences, Amasy