On vague ideals in near-rings

Document Type : Research Paper

Authors

1 1. Department of Mathematics, Shivaji University, Kolhapur, P.O.Box 416004, Kol- hapur, India, 2. Sanjay Ghodawat University, Kolhapur, P.O.Box 416118, Atigre, India

2 Department of Mathematics, Sadguru Ghadage Maharaj College, Karad, P.O.Box 415124, Karad, India,

Abstract

Using Vague ideals of near-ring R, authors introduce the concepts of normal vague ideals, complete vague ideals and maximal vague ideals of near-ring R with few properties.
 

Keywords

References

[1] D. R Prince Williams, Fuzzy Ideals in Near-subtraction semigroups, International Journal of Computational and Mathematical Sciences, 2 (2008), 39-46.
[2] J. D. P. Meldrum, Near-rings and their links with groups, Pitman, Boston (1985).
[3] L. A. Zadeh, Fuzzy set, information and control, 8 (1965), 338-353.
[4] L. Bhaskar,Vague ideals of a near-rings, International Journal of Pure and Applied Mathematics, 117(20)(2017),219-227.
[5] P. N. Swamy, A note on fuzzy ideal of near-ring, International Journal of Mathematical Sciences and Engineering Applications, 4(4) (2010), 423-435.
[6] Pritam Vijaysigh Patil & Janardhan D. Yadav, I- Vague ideals in near-rings, Journal of Hyperstructures,
vol. 10(1) (2020) 13-21.
[7] R. Biswas, Vague groups, International Journal of Computational Cognition, 4(2) (2006), 20-23.
[8] S. Abou-Zaid, On fuzzy sub near-rings and ideals, Fuzzy Sets and Systems, 44 (1991) 139-146.
[9] S. Abou-Zaid, On fuzzy ideals and fuzzy quotient rings of a ring, Fuzzy Sets and Systems, 59 (1993), 205-210.
[10] S. M. Hong., Y. B. Jun & H. S. kim, Fuzzy ideals in near-rings, Bulletin of the Korean Mathematical Society, 35(3) (1998), 455-464.
[11] T. Eswarlal and N. Ramakrishna, Vague  elds and Vague vector spaces, International Journal of pure and applied Mathematics, 94(3)(2014), 295-305.
[12] W. L. Gau and D. J. Buehrer, Vague sets, IEEE Transactions on Systems, Man and Cybernetics, 23 (1993), 610-614.
[13] W. Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems, 8 (1982), 133-139.
Journal of Hyperstructures
Volume 11, Issue 2
December 2022
Pages 214-224

Files

Share

How to cite

Statistics