Journal of Fuzzy Extension and Applications

Quarterly Publication

About Journal

Aims and Scope

Open Access Policy

Editorial Staff

Related Links

Journal Forms

Journal Metrics

Financial Policies

Crossmark Policy

Complaints

News

FAQ

Open Special Issues

Propose a Special Issue

Publication Ethics

Journal Policies

Editorial Board

Peer Review Policies

Guide for Reviewers

Reviewers (2022)

Reviewers (2021)

Reviewers (2020)

Join Us As Reviewer

Current Issue

By Issue

By Author

By Subject

Author Index

Keyword Index

Spherical interval-valued fuzzy bi-ideals of gamma near-rings

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Mathematics, Annamalai University, Chidambaram, India.

2 Department of Mathematics, Annamalai University, Chidambaram, India.

Abstract

In this paper we introduce the concept of the spherical interval-valued fuzzy bi-ideal of gamma near-ring R and its some results. The union and intersection of the spherical interval-valued fuzzy bi-ideal of gamma near-ring R is also a spherical interval-valued fuzzy bi-ideal of gamma near-ring R . Further we discuss about the relationship between bi-ideal and spherical interval-valued fuzzy bi-ideal of gamma near-ring R.

Keywords

Main Subjects

References
[1]     Chinnadurai, V. (2013). Fuzzy ideals in algebraic structures. LAP LAMBERT Academic Publishing.
[2]  Chinnadurai, V., & Kadalarasi, S. (2016). Direct product of fuzzy ideals of near-rings. Annals of fuzzy mathematics and informatics, 539, 540.
[3]  Chinnadurai, V., & Shakila, V. (2020, November). T-fuzzy bi-ideal of Gamma near-ring. AIP conference proceedings (Vol. 2277, No. 1, p. 090012). AIP Publishing LLC.
[4]  Chinnadurai, V., & Shakila, V. (2020).  Spherical fuzzy bi-ideals of gamma near-rings. Advances in mathematics: scientific journal, 9(10),7793-7802.
[5]  Hong, S. M., Jun, Y. B., & Kim, H. S. (1998). Fuzzy ideals in near-rings. Bulletin of the korean mathematical society, 35(3), 455-464.
[6]  Jun, Y. B., Sapanci, M., & Öztürk, M. A. (1999). Fuzzy ideals in gamma near-rings. Turkish journal of mathematics, 22(4), 449-460.
[7]  Jun, Y. B., Kim, K. H., & Ozturk, M. A. (2001). On fuzzy ideals of gamma near-rings. Journal of fuzzy mathematics, 9(1), 51-58.
[8]  Kutlu Gündoğdu, F., & Kahraman, C. (2019). Spherical fuzzy sets and spherical fuzzy TOPSIS method. Journal of intelligent & fuzzy systems, 36(1), 337-352.
 [9]  Meenakumari, N., & Chelvam, T. T. (2011). Fuzzy bi-ideals in gamma near-rings. Journal of algebra discrete structures, 9(1-2), 43-52.
[10]  Satyanarayana, B. (1999).  A note on Gamma near-rings. Indian J.Mathematics,  41,  427-433.
[11]  Srinivas, T., & Nagaiah, T. (2012). Some results on T-fuzzy ideals of Γ-near-rings. Annals of fuzzy mathematics and informatics, 4(2), 305-319.
[12]  Thillaigovindan, N., & Chinnadurai, V. (2009). Interval valued fuzzy quasi-ideals of semigroups. East asian mathematics journal, 25(4), 449-467.
[13]  Thillaigovindan, N., Chinnadurai, V., & Kadalarasi, S. (2015). Interval valued fuzzy ideals of nera-rings. The journal of fuzzy mathematics, 23(2), 471-484.
[14]   Zadeh, L. A. (1996). Fuzzy sets. In Fuzzy sets, fuzzy logic, and fuzzy systems: selected papers by Lotfi A Zadeh (pp. 394-432). https://doi.org/10.1142/9789814261302_0021
Journal of Fuzzy Extension and Applications
Volume 1, Issue 4
December 2020
Pages 314-324
Files
Share
How to cite
Statistics