Submit your research to the International Journal "Notes on Intuitionistic Fuzzy Sets". Contact us at nifs.journal@gmail.com

Call for Papers for the 27th International Conference on Intuitionistic Fuzzy Sets is now open!
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.

Issue:Primary interval-valued intuitionistic fuzzy M group

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/28/2/120-131
Title of paper: Primary interval-valued intuitionistic fuzzy M group
Author(s):
G. Prasannavengeteswari
Ramanujan Research Center, PG and Research Department of Mathematics, Government Arts College (Autonomous) (Affiliated to Bharathidasan University, Tiruchirappalli), Kumbakonam-612002, Tamil Nadu, India
udpmjanani@gmail.com
K. Gunasekaran
Government Arts and Science College (Affiliated to Bharathidasan University, Tiruchirappalli), Kuttalam-609808, Tamil Nadu, India
drkgsmath@davjalandhar.com
S. Nandakumar
PG and Research Department of Mathematics, Government Arts College (Affiliated to Bharathidasan University, Tiruchirappalli), Ariyalur-621713, Tamil Nadu, India
udmnanda@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 2, pages 120–131
DOI: https://doi.org/10.7546/nifs.2022.28.2.120-131
Download:  PDF (950  Kb, Info)
Abstract: The concept of interval-valued intuitionistic fuzzy M group is extended by introducing primary interval-valued intuitionistic fuzzy M group and primary interval-valued intuitionistic fuzzy anti M group using this concept primary interval-valued intuitionistic fuzzy M group and primary interval-valued intuitionistic fuzzy anti M group is defined and using some properties are established.
Keywords: Intuitionistic fuzzy set, Primary interval-valued intuitionistic fuzzy M group, Primary interval-valued intuitionistic fuzzy anti M group, Primary interval-valued intuitionistic fuzzy M group, Primary interval-valued intuitionistic fuzzy anti M group.
AMS Classification: 03E72.
References:
  1. Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag.
  2. Atanassov, K. T. (2020). Interval-Valued Intuitionistic Fuzzy Sets, Springer Cham.
  3. Balasubramanian, A., Muruganantha Prasad, K. L., & Arjunan, K. (2015). Bipolar Interval Valued Fuzzy Subgroups of a Group, Bulletin of Mathematics and Statistics Research, 3(3), 234–239.
  4. Chakrabarthy, K., Biswas, R., & Nanda, S. (1997). A note on union and intersection of intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 3(4), 34–39.
  5. Gunasekaran, K., & Gunaseelan, D. (2017). Some Operations on Bipolar Intuitionistic M-Fuzzy Group and Anti M-Fuzzy Group, International Journals of Advanced Research in Science, Engineering and Technology, 4(3), 3511–3518.
  6. Lee, K. M. (2000). Bipolar valued fuzzy sets and their operations. Proceeding of International Conference on Intelligent Technologies, Bangkok, Thailand, 307–312.
  7. Palanivelrajan, M., & Nandakumar, S. (2012). Intuitionistic Fuzzy Primary and Semiprimary Ideal. Indian Journal of Applied Research, 59(1), 159–160.
  8. Prasannavengeteswari, G., Gunasekaran, K., & Nandakumar, S. (2021). Primary Bipolar Intuitionistic M Fuzzy Group. Journal of Shanghai Jiaotong University, 17(4), 82–92.
  9. Rosenfeld, A. (1971). Fuzzy Groups, Journal of Mathematical Analysis and Its Application, 35, 512–517.
  10. Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.
  11. Zhang, W. R. (1998). Bipolar fuzzy sets. Proceeding of FUZZ-IEEE, 835–840.
  12. Zimmermann, H. J. (1985). Fuzzy Set Theory and Its Applications, Kluwer-Nijhoff Publishing Co.
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.