Tümleyenli Esnek İkili Parçalı Fark ve Lambda İşlemlerine Farklı Bir Bakış

Yıl 2023, Cilt: 12 Sayı: 2, 114 - 137, 17.11.2023

Aslıhan Sezgin , Hakan Kökçü

Öz

1999 yılında Molodtsov tarafından ortaya atılan esnek küme teorisi, belirsizlikle başa çıkmak için bir araçtır. O zamandan beri, farklı türden esnek küme işlemleri tanımlanmış ve çeşitli türlerde kullanılmıştır. Bu çalışmada esnek ikili parçalı işlemlerin tümleyenli esnek ikili parçalı fark ve lambda işlemleri üzerinden dağılımları elde edilerek esnek küme literatürüne katkı sağlanması amaçlanmaktadır.

Anahtar Kelimeler

esnek küme, esnek küme işlemleri, koşullu tümleyenler

Destekleyen Kurum

YOK

Proje Numarası

YOK

Teşekkür

Makale, ikinci yazar olan yüksek lisans öğrencisi Hakan KÖKÇÜ'nün yüksek lisans tezinin bir bölümünden kesit içermektedir.

From a Different Aspect to Complementary Soft Binary Piecewise Difference and Lambda Operations

Öz

Soft set theory, introduced by Molodtsov in 1999, is 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 difference and lambda operations.

Anahtar Kelimeler

soft set, soft set operations, conditional complements

Proje Numarası

YOK

Kaynakça

• Akbulut, E., 2023. New type of extended operations of soft set: Complementary extended lambda and difference operations. Amasya University, The Graduate School of Natural and Applied Sciences Master of Science in Mathematics Department, Amasya (in Turkish).
• Aybek, F., 2023. New restricted and extended soft set operations. Amasya University, The Graduate School of Natural and Applied Sciences Master of Science in Mathematics Department, Amasya (in Turkish).
• 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., 2019. On some operations of soft sets, The Fourth International Conference on Computational Mathematics and Engineering Sciences, Antalya.
• Çağman, N., 2021. Conditional complements of sets and their application to group theory. Journal of New Results in Science, 10 (3), 67-74.
• Demirci, A.M., 2023. New type of extended operations of soft set: Complementary extended plus, union and theta operations, Amasya University, The Graduate School of Natural and Applied Sciences Master of Science in Mathematics Department, Amasya (in Turkish).
• Maji, P.K, Bismas. R., Roy, A.R., 2003. Soft set theory. Computers and Mathematics with Applications, 45 (1), 555-562.
• Molodtsov, D., 1999. Soft set theory-first results. Computers and Mathematics with Applications, 37 (1), 19-31.
• Özlü, Ş.,2022a. Interval Valued q- Rung Orthopair Hesitant Fuzzy Choquet Aggregating Operators in Multi-Criteria Decision Making Problems. Gazi University Journal of Science Part C: Design and Technology, 10 (4), 1006-1025.
• Özlü, Ş.,2022b. Interval Valued Bipolar Fuzzy Prioritized Weighted Dombi Averaging Operator Based On Multi-Criteria Decision Making Problems. Gazi University Journal of Science Part C: Design and Technology, 10 (4), 841-857.
• Özlü, Ş. and Sezgin, A., 2020. Soft covered ideals in semigroups. Acta Universitatis Sapientiae, Mathematica. 12 (2), 317-346.
• Pei, D. and Miao, D., 2005. From Soft Sets to Information Systems. In: Proceedings of Granular Computing. IEEE, (2), 617-621.
• Sarıalioğlu, M., 2023. New type of extended operations of soft set: Complementary extended gamma, intersection and star operations. Amasya University. The Graduate School of Natural and Applied Sciences Master of Science in Mathematics Department, Amasya (in Turkish).
• Sezgin, A. and Atagün, A.O., 2011. On operations of soft sets. Computers and Mathematics with Applications. 61(5), 1457-1467.
• Sezgin, A. and Aybek, F., 2023, New soft set operation: Complementary soft binary piecewise gamma operation. Matrix Science Mathematic. 7 (1), 27-45.
• Sezgin, A, Aybek, F., Atagün, A.O. 2023a. New soft set operation: Complementary soft binary piecewise intersection operation. Black Sea Journal of Engineering and Science. (accepted/in press).
• Sezgin, A, Aybek, F., Güngör, Bilgili N. 2023b. New soft set operation: Complementary soft binary piecewise union operation. Acta Informatica Malaysia. 7(1), 38-53.
• Sezgin, A. and Çağman, N. 2023. New soft set operation: Complementary soft binary piecewise difference operation, Osmaniye Korkut Ata University Journal of the Institute of Science and Technology. (accepted/in press).
• Sezgin, A., Çağman, N. Atagün, AO., Aybek, F., 2023c. Complemental binary operations of sets and their application to group theory. Matriks Sains Matematik. (accepted/in press).
• Sezgin, A. and Demirci, A.M., 2023. New soft set operation: Complementary soft binary piecewise star operation. Ikonion Journal of Mathematics. 5(2), 24-52.
• Sezgin, A, Shahzad, A., Mehmood, A., 2019. New Operation on Soft Sets: Extended Difference of Soft Sets. Journal of New Theory. (27), 33-42.
• Sezgin, A. and Yavuz, E., 2023. New soft set operation: Complementary soft binary piecewise lambda operation. Sinop University Journal of Natural Sciences. (accepted/in press).
• Stojanovic, N.S., 2021. A new operation on soft sets: extended symmetric difference of soft sets. Military Technical Courier. 69(4), 779-791.
• Yavuz, E., 2023. Soft binary piecewise operations and their properties, Amasya University, Amasya University, The Graduate School of Natural and Applied Sciences Master of Science in Mathematics Department, Amasya (in Turkish).