Araştırma Makalesi
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SOFT STRUCTURES DERIVED FROM GROUPS

Yıl 2018, Cilt: 1 Sayı: 3 - To memory of Prof. RNDr. Beloslav Rieˇcan, DrSc., 283 - 292, 24.10.2018

Mustafa Burç Kandemir

Öz

In this paper, we get soft structures what we call cyclicizer soft set, centralizer soft set, normalizer soft set, cosetial soft set, orbital soft set and stabilizer soft set using some group concepts such as cyclic, centralizer and normalizer of an element, coset and group action, in any given group. At the same time, we mentioned that they are a soft group. We discuss their soft set theoretic properties and give some theorems for groups. We proposed some necessary and sucient conditions for two groups to be isomorphic using the soft set theory. We give relation between similarity of soft sets and groups.

Anahtar Kelimeler

Soft set soft group group centralizer normalizer cyclic group

Kaynakça

  • H. Aktaş, N. Çağman, Soft sets and soft groups, Inform. Sci. 177 (2007) 2726 - 2735.
  • H. Aktaş, Ş. Özlü, Cyclic soft groups and their applications on groups, The Scienti c World Journal Vol. 2014 (2014), Article ID 437324, 5 pages.
  • M. I. Ali, F. Feng, X. Y. Liu, W. K. Min, M. Shabir, On some new operations in soft set theory, Comput. Math. Appl. 57 (2009) 1547 - 1553.
  • J. B. Fraleigh, A rst course in abstract algebra-4th Ed., Addison-Wesley Publishing Company (1989), pp. 518.
  • K. Gong, Z. Xiao, X. Zhang, The bijective soft set with applications, Comput. Math. Appl. 60 (2010) 2270 - 2278.
  • M. B. Kandemir, Monotonic soft sets and its applications, Ann. Fuzzy Math. Inform. 12 (2) (2016) 295 - 307.
  • Y. K. Kim, W. K. Min, Full soft sets and full soft decision systems, Journal of Intelligent &Fuzzy Systems 26 (2014) 925 - 933.
  • P. K. Maji, R. Biswas, A. R. Roy, Soft set theory, Comput. Math.Appl. 45 (2003) 555 - 562.
  • W. K. Min, Similarity in soft set theory, Appl. Math. Let. 25 (2012) 310 - 314.
  • D. Molodtsov, Soft sets- rst results, Comput. Math. Appl. 37 (1999) 19 - 31.
  • D. Patrick, E. Wepsic, Cyclicizers, centralizers and normalizers, RoseHulman Institute of Technology, Indiana, USA, Technical Reprot MS-TR 91-05, (1991).
  • D. Pei, D. Miao, From soft sets to information systems, Proceedings of IEEE International Conference on Granular Computing 2 (2005) 617 - 621.

Yıl 2018, Cilt: 1 Sayı: 3 - To memory of Prof. RNDr. Beloslav Rieˇcan, DrSc., 283 - 292, 24.10.2018

Mustafa Burç Kandemir

Öz

Kaynakça

  • H. Aktaş, N. Çağman, Soft sets and soft groups, Inform. Sci. 177 (2007) 2726 - 2735.
  • H. Aktaş, Ş. Özlü, Cyclic soft groups and their applications on groups, The Scienti c World Journal Vol. 2014 (2014), Article ID 437324, 5 pages.
  • M. I. Ali, F. Feng, X. Y. Liu, W. K. Min, M. Shabir, On some new operations in soft set theory, Comput. Math. Appl. 57 (2009) 1547 - 1553.
  • J. B. Fraleigh, A rst course in abstract algebra-4th Ed., Addison-Wesley Publishing Company (1989), pp. 518.
  • K. Gong, Z. Xiao, X. Zhang, The bijective soft set with applications, Comput. Math. Appl. 60 (2010) 2270 - 2278.
  • M. B. Kandemir, Monotonic soft sets and its applications, Ann. Fuzzy Math. Inform. 12 (2) (2016) 295 - 307.
  • Y. K. Kim, W. K. Min, Full soft sets and full soft decision systems, Journal of Intelligent &Fuzzy Systems 26 (2014) 925 - 933.
  • P. K. Maji, R. Biswas, A. R. Roy, Soft set theory, Comput. Math.Appl. 45 (2003) 555 - 562.
  • W. K. Min, Similarity in soft set theory, Appl. Math. Let. 25 (2012) 310 - 314.
  • D. Molodtsov, Soft sets- rst results, Comput. Math. Appl. 37 (1999) 19 - 31.
  • D. Patrick, E. Wepsic, Cyclicizers, centralizers and normalizers, RoseHulman Institute of Technology, Indiana, USA, Technical Reprot MS-TR 91-05, (1991).
  • D. Pei, D. Miao, From soft sets to information systems, Proceedings of IEEE International Conference on Granular Computing 2 (2005) 617 - 621.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Mustafa Burç Kandemir

Gönderilme Tarihi 14 Ekim 2018
Kabul Tarihi 24 Ekim 2018
Yayımlanma Tarihi 24 Ekim 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 1 Sayı: 3 - To memory of Prof. RNDr. Beloslav Rieˇcan, DrSc.

Kaynak Göster

APA Kandemir, M. B. (2018). SOFT STRUCTURES DERIVED FROM GROUPS. Journal of Universal Mathematics, 1(3), 283-292.
AMA Kandemir MB. SOFT STRUCTURES DERIVED FROM GROUPS. JUM. Ekim 2018;1(3):283-292.
Chicago Kandemir, Mustafa Burç. “SOFT STRUCTURES DERIVED FROM GROUPS”. Journal of Universal Mathematics 1, sy. 3 (Ekim 2018): 283-92.
EndNote Kandemir MB (01 Ekim 2018) SOFT STRUCTURES DERIVED FROM GROUPS. Journal of Universal Mathematics 1 3 283–292.
IEEE M. B. Kandemir, “SOFT STRUCTURES DERIVED FROM GROUPS”, JUM, c. 1, sy. 3, ss. 283–292, 2018.
ISNAD Kandemir, Mustafa Burç. “SOFT STRUCTURES DERIVED FROM GROUPS”. Journal of Universal Mathematics 1/3 (Ekim2018), 283-292.
JAMA Kandemir MB. SOFT STRUCTURES DERIVED FROM GROUPS. JUM. 2018;1:283–292.
MLA Kandemir, Mustafa Burç. “SOFT STRUCTURES DERIVED FROM GROUPS”. Journal of Universal Mathematics, c. 1, sy. 3, 2018, ss. 283-92.
Vancouver Kandemir MB. SOFT STRUCTURES DERIVED FROM GROUPS. JUM. 2018;1(3):283-92.