TY  - JOUR
T1  - Soft k-Uni Ideals of Semirings and its Algebraic Applications
TT  - Yarıhalkaların Esnek k-Birleşimsel İdealleri ve Cebirsel Uygulamaları
AU  - Çıtak, Filiz
PY  - 2018
DA  - December
Y2  - 2018
DO  - 10.21597/jist.410038
JF  - Journal of the Institute of Science and Technology
JO  - J. Inst. Sci. and Tech.
PB  - Iğdır Üniversitesi
WT  - DergiPark
SN  - 2536-4618
SP  - 281
EP  - 294
VL  - 8
IS  - 4
LA  - en
AB  - In this paper, firstly, information about soft set introduced by Molodtsov is given. Then, the operationson the soft set are introduced. After then a definition of soft uni-k-ideal of a semiring by using the union operationof sets is given. Finally, some algebraic applications by using soft uni-k-ideal are investigated.
KW  - Soft sets
KW  - k-ideals
KW  - soft uni-ideals
KW  - soft k-uni ideals
N2  - Bu çalışmada, ilk olarak Molodtsov tarafından ortaya atılan esnek küme teorisi hakkında bilgi verildi. Sonraesnek küme üzerindeki işlemler tanıtıldı. Daha sonra kümelerin birleşim işlemi kullanılarak bir yarıhalkanın esnekbirleşimsel k-ideal tanımı verildi. Son olarak, esnek birleşimsel k-ideali kullanılarak bazı cebirsel uygulamalararaştırıldı.
CR  - Acar U., Koyuncu F. and Tanay B., Soft Sets and Soft Rings, Computers and Mathematics with Applications., 59 (2010) 3458-3463.
CR  - Aktaş H. and Çağman N., Soft Sets and Soft Groups, Information Sciences, 177 (2007) 2726-2735.
CR  - Ali M.I., Feng F., Liu X., Min W.K. and Shabir M., On Some New Operations in Soft Set Theory, Computers and Mathematics with Application, 57 (2009) 1547-1553.
CR  - Ali M.I., Shabir M. and Naz M., Algebraic Structures of Soft Sets Associated with New Operations, Computers and Mathematics with Application, 61 (2011) 2647-2654.
CR  - Atagün A.O. and Sezgin A., Int-Soft Substructures of Groups and Semirings with Applications, Applied Mathematics & Information Sciences 11-1 (2017) 105-113.
CR  - Çağman N. and Enginoğlu S., Soft Set Theory and uni-int Decision Making, European Journal of Operational Research 207 (2010) 848-855.
CR  - Çağman N., Çıtak F. and Aktaş H., Soft int-group and its Applications to Group Theory, Neural Computing and Applications 21 (2012) 151-158.
CR  - Çıtak F. and Çağman N., Soft int-rings and its Algebraic Applications, Journal of Intelligent and Fuzzy Systems 28 (2015) 1225-1233.
CR  - Feng F., Jun Y.B. and Zhao X., Soft Semirings, Computers and Mathematics with Applications 56 (2008) 2621-2628.
CR  - Golan J.S., The Theory of Semirings with Applications in Mathematics and Theoritical Computer Science, Longman Scientific and Technical, U.K., 1992.
CR  - Jana C. and Pal M., Applications of New Soft Intersection Set on Groups, Annals of Fuzzy Mathematics and Informatics 11-6 (2016) 923-944.
CR  - Jun Y.B. and Park C.H., Applications of Soft Sets in Ideal Theory of BCK/BCI-Algebras, Information Sciences 178 (2008) 2466-2475.
CR  - Jun Y.B., Lee K.J. and Zhan J., Soft p-Ideals of Soft BCI-Algebras, Computers and Mathematics with Applications 58 (2009) 2060-2068.
CR  - La Torre D.R., On h-Ideals and k-Ideals in Hemirings, Publicationes Mathematicae Debrecen 12 (1965) 219-226.
CR  - Lee J.H., Kong I.S., Kim H.S. and Jung J.U., Generalized int-Soft Subsemigroups, Annals of Fuzzy Mathematics and Informatics 8-6 (2014) 869-887.
CR  - Ma X.,  Zhan J. and  Ali M.I., Applications of a Kind of Novel Z-Soft Fuzzy Rough Ideals to Hemirings, Journal of Intelligent and Fuzzy Systems 32-3 (2017) 1-12.
CR  - Maji P.K., Biswas R. and Roy A.R., Soft Set Theory, Computers and Mathematics with Applications 45 (2003) 555-562.
CR  - Molodtsov D.A., Soft Set Theory-First Results, Computers and Mathematics with Applications 37 (1999) 19-31.
CR  - Sezgin A., Çağman N. and Atagün A.O., Uni-Soft Substructures of Groups, Annals of Fuzzy Mathematics and Informatics 9-2 (2015) 235-246.
CR  - Sezgin A., Characterizations of Certain Classes of Semigroups via Soft Intersection Ideals, Italian Journal of Pure and Applied Mathematics 38-1 (2017).
CR  - Sun Q.M., Zhang Z.L. and Liu J., Soft Sets and Soft Modules, Lecture Notes in Computer Science 5009 (2008) 403-409.
CR  - Zhan J. and Jun Y.B., Soft BL-Algebras Based on Fuzzy Sets, Computers and Mathematics with Applications 59-6 (2010) 2037-2046.
CR  - Zhan J. and Xu Y., Soft Lattice Implication Algebras Based on Fuzzy Sets,  Hacettepe Journal of Mathematics and Statistics 40-4 (2011) 483-492.
UR  - https://doi.org/10.21597/jist.410038
L1  - https://dergipark.org.tr/tr/download/article-file/594639
ER  -