| Title of paper:
|
Level operators over 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 29 (2023), Number 1, pages 1–29
|
| DOI:
|
https://doi.org/10.7546/nifs.2023.29.1.1-29
|
| Download:
|
 PDF (704 Kb, File 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 level operators and their properties are established.
|
| Keywords:
|
Intuitionistic fuzzy set, Interval-valued intuitionistic fuzzy set, Primary interval-valued intuitionistic fuzzy M group, Primary interval-valued intuitionistic fuzzy anti M group.
|
| AMS Classification:
|
03E72.
|
| References:
|
- Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag.
- Atanassov, K. T. (2020). Interval-Valued Intuitionistic Fuzzy Sets, Springer Cham.
- 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.
- 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.
- Prasannavengeteswari, G., Gunasekaran, K., & Nandakumar, S. (2021). Primary Bipolar Intuitionistic M Fuzzy Group. Journal of Shanghai Jiaotong University, 17(4), 82–92.
- Prasannavengeteswari, G., Gunasekaran, K., &Nandakumar, S. (2022). Primary interval-valued intuitionistic fuzzy M group. Notes on Intuitionistic Fuzzy Sets, 28(2), 120–131.
- Rosenfeld, A. (1971). Fuzzy Groups, Journal of Mathematical Analysis and Its Application, 35, 512–517.
- Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.
- Zhang, W. R. (1998). Bipolar fuzzy sets. Proceeding of FUZZ-IEEE, 835–840.
- 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.
|
|
