Pythagorean Fuzzy Strong Bi-ideal and Direct Product of Pythagorean Fuzzy Ideals in Near Ring
DOI:
https://doi.org/10.26713/cma.v12i4.1596Keywords:
Strong bi-ideal, Near ring, Pythagorean fuzzy set, Direct productAbstract
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.
Downloads
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.
Downloads
Published
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
