Dergiler / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 5

$(lambda,alpha)$-Homomorphisms of intuitionistic fuzzy groups§

Sayfa
663–672
Yayın Tarihi
2022-10-18
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)

Consequently, we obtain some important results.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we present $(lambda, alpha)$-homomorphisms and $(lambda, alpha)$-isomorphisms between two intuitionistic fuzzy groups by means of the concept of cut-set of an intuitionistic fuzzy set.
📊
Temel Bulgular & Veri:Furthermore, we discuss in detail a series of homomorphic properties of intuitionistic fuzzy groups by taking advantage of an intuitionistic L*-nested set.
💡
Sonuç & Katkı:Consequently, we obtain some important results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we present $(lambda, alpha)$-homomorphisms and $(lambda, alpha)$-isomorphisms between two intuitionistic fuzzy groups by means of the concept of cut-set of an intuitionistic fuzzy set. Furthermore, we discuss in detail a series of homomorphic properties of intuitionistic fuzzy groups by taking advantage of an intuitionistic L*-nested set. Consequently, we obtain some important results.

🔖

Bu Makaleye Atıf Yap

Lİ, X. P., WANG, G. J. (2022). $(lambda,alpha)$-Homomorphisms of intuitionistic fuzzy groups§. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 5, 663–672. https://ajindex.com/articles/530561

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (15)

  1. Atanassov, K. Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20, 87–96, 1986
  2. Biswas, R. Rosenfeld’s fuzzy subgroups with interval-valued membership functions, Fuzzy Sets and Systems Int 63, 87–90, 1994
  3. Li, M. The cut-sets of intuitionistic fuzzy sets, J. Liaoning Normal University 30, 152–154, 2007
  4. Li, X.P. The intuitionistic fuzzy normal subgroup and its some equivalent propositions, BUSEFAL 82, 40–44, 2000
  5. Li, X.P. The intuitionistic fuzzy groups of T-S norms and their operations, J. Tianjin Normal University 23, 39–43, 2003
  6. Li, X.P. Product and extension operation of the intuitionistic fuzzy normal subgroups, J. Fuzzy Mathematics 13, 96–105, 2005
  7. Li, X. P. and Wang, G. J. The SH-interval-valued fuzzy subgroup, Fuzzy Sets and Systems 112, 319–325, 2000
  8. Li, X. P. and Wang, G. J. The intuitionistic fuzzy groups and its homomorphism images, Fuzzy Systems and Math. 14, 45–50, 2000
  9. Li, X.P. and Wang, G. J. Extended operations on normal interval valued fuzzy sets space, J. Fuzzy Mathematics 9, 545-554, 2001
  10. Li, X.P. and Wang, G. J. The hyper-intuitionistic fuzzy groups with respect to T-S norms and their homomorphisms, Journal of Mathematics 28, 71–76, 2008
  11. Li, X. P. and Wang, G. J. A few kinds of intuitionistic fuzzy groups on a direct product group and their projections, Pure and Applied Mathmatics 25, 1–7, 2009
  12. Li, X.P. and Zheng, C.W. The direct product characteristics of the intuitionistic fuzzy groups with respect to T-S norms, Mathematics in Practice and Theory 38, 109–115, 2008
  13. Lu, T. and Luo, C. Z. The intuitionistic fuzzy groups The homomorphism and isomorphism of L-fuzzy groups and their properties, Fuzzy Systems and Math. 9, 33–37, 1995
  14. Ma, J. L. and Yu, C.H. Introduction to Fuzzy Algebra (Xue Yuan Press, Beijing, 1989)
  15. Zhang, W.X. Basis of Fuzzy Mathematics (Xian Jiaotong Univ. Press, Xian, 1991).