Dergiler / Journal of Universal Mathematics / 2018 / To memory of Prof. RNDr. Beloslav Rieˇcan, DrSc.

SOFT STRUCTURES DERIVED FROM GROUPS

Sayfa
283–292
Yayın Tarihi
2018-10-24
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We give relation between similarity of soft sets and groups.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
📊
Temel Bulgular & Veri:At the same time, we mentioned that they are a soft group.
💡
Sonuç & Katkı:We give relation between similarity of soft sets and groups.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Soft set · soft group · group

Abstract

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.

🔖

Bu Makaleye Atıf Yap

KANDEMİR, M. B. (2018). SOFT STRUCTURES DERIVED FROM GROUPS. Journal of Universal Mathematics, To memory of Prof. RNDr. Beloslav Rieˇcan, DrSc., 283–292. https://ajindex.com/articles/782240

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (2)

  1. 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).
  2. D. Pei, D. Miao, From soft sets to information systems, Proceedings of IEEE International Conference on Granular Computing 2 (2005) 617 - 621.