TARU PUBLICATIONS
Journal of Discrete Mathematical Sciences and Cryptography cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

Model operator ASA on intuitionistic fuzzy BRK-subalgebras

* ,

* Corresponding author · click or hover a name for details

pp. 1059–1065Vol. 28Issue 4-AJune 2025DOI: 10.47974/JDMSC-2032 Crossmark XML
Received:
10 Jul 2024
Published Online:
26 Jun 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2032
Pages:
1059–1065

Abstract

This paper aims to announce the concept of operator (¬∝,β,γ,ϖ,ε,τ) in intuitionistic fuzzy BRK–subalgebras. It states and evidences a amount of belongings. All ψ ∈ BRK-algebra (Ψ; *, 0) intuitionistic fuzzy BRK– subalgebras gratify the subsequent  µA(0) ≥ µA (ψ) and νA (0) ≤ νA (ψ) is an intuitionistic fuzzy BRK–subalgebra of If A is a BRK–subalgebra of Ψ with inf and sup properties, then Y where f is onto. Under f in Ψ, the preimage of B is an intuitionistic fuzzy. If B is an intuitionistic fuzzy BRK–subalgebra of Y with inf and sup properties, then ψ is a BRK–subalgebra of B. Let A be an intuitionistic fuzzy set and a BRK-algebra (Ψ; *, 0). We shall be mentioned a fuzzy intuitionistic by Γ,  BRK -algebra by BRK -g & BRK -Subalgebra by BRK -Sg  and ¬∝,β,γ,ϖ,ε,τ  by  ASA. 

Keywords

Subject Classifications

BRK algebraFuzzy BRK idealHomomorphisms of idealFuzzyBRK-subalgebra

References

[1] A. T. Hameed and S. M. Abrahem, “Model operator ⌻∝,𝛃,𝛄,𝛅,𝛆,𝛕 on Intuitionistic Fuzzy RG-algebras,” Int. J. Eng. Inf. Syst. (IJEAIS), vol. 7, no. 1, pp. 66–67 (Jan. 2023).
[2] D. Dubois and H. Prade, Fuzzy Sets and Systems. London, U.K.: Academic Press Inc. (1980).
[3] G. Cuvalcioglu, “The Extension of Modal Operators’ Diagram With Last Operators,” Notes Intuitionistic Fuzzy Sets, vol. 19, no. 3, pp. 56–61 (2013).
[4] K. Dencheva, “Extension of Intuitionistic Fuzzy Modal Operators † & ⊞,” in Proc. Second Int. IEEE Symp. Intelligent Systems, Varna, Bulgaria, pp. 21–22 (2004).
[5] K. Iséki and S. Tanaka, “Ideal Theory of BCK-algebras,” Math. Japon., vol. 21, pp. 351–366 (1976).
[6] K. T. Atanassov, “On the New Intuitionistic Fuzzy Operator X(a,b,c,d,e) f,” Notes Intuitionistic Fuzzy Sets, vol. 16, no. 2, pp. 35–38, 2010.
[7] K. T. Atanassov, On Intuitionistic Fuzzy Sets Theory. Berlin, Germany: Springer-Verlag (2012).
[8] L. A. Zadeh, “Fuzzy Sets,” Inform. Control, vol. 8, pp. 338–353 (1965).
[9] O. R. Elgendy, “Fuzzy BRK-ideal of BRK-algebras,” Br. J. Math. Comput. Sci., vol. 10, no. 6, pp. 1–9 (2015).
[10] P. Bhattacharye and N. P. Mukherjee, “Fuzzy Relations and Fuzzy Group,” Inf. Sci., vol. 36, pp. 267–282 (1985).
[11] R. K. Bandaru, “On BRK-Algebra,” Int. J. Math. Math. Sci., vol. 2012, pp. 1–6 (2012).
[12] S. Sharma and A. J. Obaid, “Mathematical modelling, analysis and design of fuzzy logic controller for the control of ventilation systems using MATLAB fuzzy logic toolbox,” J. Interdiscip. Math., vol. 23, no. 4, pp. 843–849 (2020).
[13] S. A. Al-Ameedee and A. J. Obaid, “New results and application of differential quasi subordinations for higher-order derivatives of meromorphic multivalent functions,” J. Interdiscip. Math., pp. 1–8 (2020), doi: 10.47974/JIM-1483.

Views: 177Downloads: 114Citations: 0