SavedAdd your journal

Journals / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 2

Atanassov's intuitionistic fuzzy grade of complete hypergroups of order less than or equal to 6

E. Hassani SADRABADİ
Irina CRİSTEA
Bijan DAVVAZ
Pages
295–315
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, we consider the class of the complete hypergroups of order less than or equal to 6, determining their intuitionistic fuzzy grade.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The length of the sequence of join spaces and Atanassov s intuitionistic fuzzy sets associated with a hypergroupoid H is called the intuitionistic fuzzy grade of H.
📊
Key Findings & Data:The length of the sequence of join spaces and Atanassov s intuitionistic fuzzy sets associated with a hypergroupoid H is called the intuitionistic fuzzy grade of H.
💡
Conclusion & Impact:In this paper, we consider the class of the complete hypergroups of order less than or equal to 6, determining their intuitionistic fuzzy grade.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The length of the sequence of join spaces and Atanassov s intuitionistic fuzzy sets associated with a hypergroupoid H is called the intuitionistic fuzzy grade of H. In this paper, we consider the class of the complete hypergroups of order less than or equal to 6, determining their intuitionistic fuzzy grade.

🔖

Cite This Article

SADRABADİ, E. H., CRİSTEA, I., DAVVAZ, B. (2022). Atanassov's intuitionistic fuzzy grade of complete hypergroups of order less than or equal to 6. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 2, 295–315. https://ajindex.com/articles/528972

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (20)

  1. Atanassov, K.T. Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87-96
  2. Atanassov, K.T. New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61(1994), 137-142
  3. Corsini, P. Prolegomena of hypergroup theory, Aviani Editore, 1993
  4. Corsini, P. Join spaces, power sets, fuzzy sets, in: Proc. Fifth Int. Cong. A.H.A. 1993, Iasi, Romania, Hadronic Press (1994), 45-52
  5. Corsini, P. A new connection between hypergroups and fuzzy sets, Southeast Asian Bull. Math., 27(2003), 221-229
  6. Corsini, P., Cristea, I. Fuzzy grade of i.p.s. hypergroups of order less than or equal to 6, PU. M. A., 14(2003), no.4, 275-288
  7. Corsini, P., Cristea, I. Fuzzy grade of i.p.s. hypergroups of order 7, Iran. J. Fuzzy Syst., 1(2004), 15-32
  8. Corsini, P., Cristea, I. Fuzzy sets and non complete 1-hypergroups, An. St. Univ. Ovidius Constanta Ser. Mat., 13(2005), no.1, 27-53
  9. Corsini, P., Leoreanu, V. Join spaces associated with fuzzy sets, J. Combin. Inform. Syst. Sci., 20(1995), no. 1-4, 293-303
  10. Corsini, P., Leoreanu, V. Applications of hyperstructure theory, Advances in Mathematics, Kluwer Academic Publishers, Dordercht, 2003
  11. Corsini, P., Leoreanu-Fotea, V. On the grade of a sequence of fuzzy sets and join spaces determined by a hypergraph, Southeast Asian Bull. Math., 34(2010), no.2, 231- 242
  12. Corsini, P., Leoreanu, V., Iranmanesh, A. On the sequence of hypergroups and membership functions determined by a hypergraph, J. Mult.-Valued Logic Soft Comput., 14(2008), no.6, 565-577
  13. Corsini, P., Mahjoob, R. Multivalued functions, fuzzy subsets and join spaces, Ratio Math., 20(2010), 1-41
  14. Cristea, I. Complete hypergroups, 1-hypergroups and fuzzy sets, An. St. Univ. Ovidius Constanta Ser. Mat., 10(2002), no. 2, 25-37
  15. Cristea, I. About the fuzzy grade of the direct product of two hypergroupoids, Iran. J. Fuzzy Syst., 7(2010), no.2, 95-108
  16. Cristea, I., Darafsheh, M.R. A decomposition of the cyclic groups of order p and p 2, where p is a prime number, J. Intell. Fuzzy Syst., 21(2010), no.4, 255-259
  17. Cristea, I., Darafsheh, M.R. About a decomposition of the group Zpq, where p and q are distinct odd primes, European J. Combin., 31(2010), no. 7, 1880-1886
  18. Cristea, I., Davvaz, B. Atanassov’s intuitionistic fuzzy grade of hypergroups, Inform. Sci., 180(2010), 1506-1517
  19. Davvaz, B. Fuzzy Hv-groups, Fuzzy Sets and Systems, 101 (1999), 191-195
  20. Davvaz, B. Fuzzy Hv-sumodules