Pythagorean Fuzzy Strong Bi-ideal and Direct Product of Pythagorean Fuzzy Ideals in Near Ring

Authors

DOI:

https://doi.org/10.26713/cma.v12i4.1596

Keywords:

Strong bi-ideal, Near ring, Pythagorean fuzzy set, Direct product

Abstract

In this paper, we introduce the notions of Pythagorean fuzzy strong bi-ideals and Direct Product Pythagorean fuzzy ideals in near ring. Also, study some of their related properties in detail.

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Author Biography

J. Marynirmala, Department of Mathematics, Annamalai University, Annamalai Nagar, Tamil Nadu, India

 

 

References

S. Abou-Zaid, On fuzzy subnear-rings and ideals, Fuzzy Sets and Systems 44 (1991), 139 – 146, DOI: 10.1016/0165-0114(91)90039-S.

K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87 – 96, DOI: 10.1016/S0165-0114(86)80034-3.

V. Chinnadurai and S. Kadalarasi, Direct product of fuzzy ideals of near-rings, Annals of Fuzzy Mathematics and Informatics 12(2) (2016), 193 – 204, URL: http://www.afmi.or.kr/articles_in_20press/2016-02/AFMI-H-151106R3/AFMI-H-151106R3.pdf.

S. U. Devi, S. Jayalakshmi and T. T. Chelvam, Intuitionistic fuzzy strong bi-ideals of near-rings, International Journal of Current Research 9(3) (2017), 48353 – 48359.

T. K. Dutta and B. K. Biswas, Fuzzy ideal of a near-ring, Bulletin of the Calcutta Mathematical Society 89(6) (1997), 447 – 456.

K. H. Kim, On fuzzy R-subgroup of near-rings, Journal of Fuzzy Mathematics 8 (2000), 549 – 558.

S. D. Kim and H. S. Kim, On fuzzy ideals of near-rings, Bulletin of the Korean Mathematical Society 33(4) (1996), 593 – 601.

K. H. Kim and Y. B. Jun, Normal fuzzy R-subgroups in near-rings, Fuzzy Sets and Systems 121 (2016), 341 – 345, DOI: 10.1016/S0165-0114(00)00022-1.

K. H. Kim and Y. B. Jun, On fuzzy R-subgroups of near-rings, Journal of Fuzzy Mathematics 11(3) (2003), 567 – 580.

W.-J. Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems 8 (1982), 133 – 139, DOI: 10.1016/0165-0114(82)90003-3.

A. L. Narayanan, Fuzzy ideals on strongly regular near-rings, Journal of Indian Mathematical Society 69(1-4) (2002), 193 – 199.

A. L. Narayanan and T. Manikantan, (2,2 _q)-fuzzy subnear-rings and (2,2 _q)-fuzzy ideals of near-rings, Journal of Applied Mathematics and Computing 18(1-2) (2005), 419 – 430, DOI: 10.1007/BF02936584.

A. Rosenfeld, Fuzzy groups, Journal of Mathematical Analysis and Applications 35 (1971), 512 – 517, DOI: 10.1016/0022-247X(71)90199-5.

H. K. Saikia and L. K. Barthakur, On fuzzy N-subgroups and fuzzy ideals of near-rings and near-ring groups, Journal of Fuzzy Mathematics 11(3) (2003), 567 – 580.

R. R. Yager, Pythagorean fuzzy subsets, in: Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada (2013), 57 – 61, DOI: 10.1109/IFSANAFIPS.2013.6608375.

L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338 – 353, DOI: 10.1016/S0019-9958(65)90241-X.

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Published

13-12-2021
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How to Cite

Marynirmala, J., & Sivakumar, D. (2021). Pythagorean Fuzzy Strong Bi-ideal and Direct Product of Pythagorean Fuzzy Ideals in Near Ring. Communications in Mathematics and Applications, 12(4), 1079–1100. https://doi.org/10.26713/cma.v12i4.1596

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Research Article