Indian Journal of Science and Technology
Year: 2024, Volume: 17, Issue: Special Issue 1, Pages: 52-57
Original Article
M Premkumar1*, M A Rifayathali2, A Prasanna2, J Juliet Jeyapackiam3, Dhirendra Kumar Shukla4, R Parameswari1
1Department of Mathematics, Sathyabama Institute of Science and Technology (Deemed To Be University), Chennai, Tamil Nadu, 600119, India
2PG and Research Department of Mathematics, Jamal Mohamed College (Autonomous), (Affiliated to Bharathidasan University), Tiruchirappalli, 620020, Tamil Nadu, India
3Department of Mathematics, Jayaraj Annapackiam CSI College of Engineering Nazareth, Tuticorin, 628617, India
4Department of Engineering Mathematics, Technocrats Institute of Technology, Bhopal, 462021, Madhya Pradesh, India
*Corresponding Author
Email: [email protected]
Received Date:29 August 2023, Accepted Date:05 March 2024, Published Date:27 May 2024
In the present piece, we propound t- norms of the QFTSA ὦȴȵŦὦȴὦȵ in BP-Algebra and also t- norms of the QFTI ὦὦȴὦȴɉŦŦὦȴȵɉὦȵὦȵ , ȴȵɉĜ of the BP-Algebra and we assay some of their features. Likewise, we define Cartesian products of QFTSAs and QFTI of BP algebras. These, as well as other algebraic features, are bandied in depth. Objective: This article generally aimed at investigating t- norms concepts. It can also be applied to the algebraic properties of Q-Fuzzy T-Ideals, Q-Fuzzy T-Sub algebra and also defined for Cartesian products of QFTSAs and QFTI of BP algebras.Methods: t -norms concepts can apply for the algebraic properties of Q-Fuzzy T-Ideals, and T-Sub algebra related to the theorems, lemma, and examples we find the proof.Findings: In the present study, we propound ȶ- norms of the QFTSA ὦȴȵŦὦȴὦȵ in BP-Algebra and also ȶ- norms of the QFTI ὦὦȴὦȴɉŦŦὦȴȵɉὦȵὦȵ , ȴȵɉĜ of the BP-Algebra and we assay some of their features. Likewise, we define Cartesian products of QFTSAs and QFTI of BP algebras. These, as well as other algebraic features, are bandied in depth. Novelty: This study has defined new concepts of t-norms that apply to Q-fuzzy T-Ideals and Q fuzzy T-sub-algebra in BP algebras.
Keywords: Fuzzy Set (FS), Q-Fuzzy Sets (QFS), Q-Fuzzy Subset (QFSb), Q-Fuzzy T-Ideal (QFTI), Q-Fuzzy T-Subalgebra (QFTSA)
© 2024 Premkumar et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)
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