| Title of paper:
|
Implication-based intuitionistic anti-fuzzy subgroup of a finite group
|
| Author(s):
|
| M. Selvarathi
|
| Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, India
|
| selvarathi.maths@gmail.com
|
| J. Michael Anna Spinneli
|
| Department of Mathematics, L.R.G. Government Arts College for Women, Tirupur, India
|
| michael.maths@gmail.com
|
|
| Published in:
|
Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 1, pages 60–69
|
| DOI:
|
https://doi.org/10.7546/nifs.2018.24.1.60-69
|
| Download:
|
 PDF (176 Kb Kb, Info)
|
| Abstract:
|
The concept of implication-based intuitionistic anti-fuzzy subgroup and implication-based intutitionistic anti-fuzzy normal subgroup of a group are introduced using the notion of implication-based anti-fuzzy subgroup. The internal product of implication-based intuitionistic anti-fuzzy subgroups is developed. Few fundamental properties concerning them are proved.
|
| Keywords:
|
Implication-based anti-fuzzy subgroup, Implication-based intuitionistic anti-fuzzy subgroup, Internal product of implication-based intuitionistic anti-fuzzy subgroups.
|
| AMS Classification:
|
03E72, 08A72, 20N25.
|
| References:
|
- Atanassov, K. T. (1983) Intuitionistic Fuzzy Sets, VII ITKR Session, Sofia, 20–23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
- Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96.
- Biswas, R. (1990) Fuzzy Subgroups and Anti-Fuzzy Subgroup, Fuzzy Sets and Systems, 35, 121–124.
- Rosenfeld, A. (1971) Fuzzy Groups, Journal of Mathematical Analysis and Applications, 35, 512–517.
- Selvarathi, M. & Spinneli, M. A. J. (2015) Implication-Based Fuzzy Normal Subgroup of a Finite Group, International Journal of Applied Engineering Research, 10(80), 5–8.
- Wee, W. G. & Fu, K. S. (1969) A Formation of Fuzzy Automata and its Application as a Model of Learning Systems, IEEE Transactions on Systems Science and Cybernetics, 3, 215–223.
- Xiaoping, L. (2000) The intuitionisitic fuzzy normal subgroup and its equivalent propositions, BUSEFAL, 82, 40–44.
- Xiaoping, L., & Guijun, W. (2000) The intuitionistic fuzzy group and its homomorphic image, Fuzzy Systems and Math., 14(1), 45–50.
- Ying, M.-S. (1997) A New Approach For Fuzzy Topology (I) Fuzzy Sets and Systems, 39, 303–321.
- Yuan, X.-H., Zhang, C., & Ren, Y.-H. (2003) Generalized fuzzy groups and many-valued implications, Fuzzy Sets and System, 138, 205–211.
- Zadeh, L. A. (1965) Fuzzy Sets, Information Control, 8, 338–353.
|
| Citations:
|
The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.
|
|
