AN OUTSPREAD ON VALUED LOGIC SUPERHYPERALGEBRAS
Abstract
In all classical logical algebras, only two elements can be equated to one element, and this is not possible when we want to equate more than two elements to one or more than one element. In this study, we are looking for a new idea to cover this defect. This paper considers the logic algebra structures and generalizes them to superhyper logic algebra. Indeed, we extended the axioms of logic algebra to neutrosophic superhyper logic algebras.
Keywords
Full Text:
PDFReferences
R. A. Borzooei, R. Ameri and M. Hamidi: Fundamental relation on hyper BEalgebras, An. Univ. oradea, fasc. Mat. 21(1) (2014), 123–136.
Q. P. Hu and X. Li: On BCH-algebras, Math. Seminar Not. 11 (1983), 313-320.
M. Hamidi, F. Smarandache and E. Davneshvar: Spectrum of Superhypergraphs via Flows, J. Math. 2022 (2022), 12 pages.
M. Hamidi: On neutro-d-subalgebras, journal of Algebraic Hyperstructuresand Logical Algebras, 2(2) (2021), 13–23.
M. Hamidi and F. Smarandache: Neutro-BCK-Algebra, Int. j. neutrosophic sci. 8 (2020), 110-117.
M. Hamidi and F. Smarandache: Single-Valued Neutro Hyper BCK-Subalgebras, J. Math. 2021 (2021), 1-11.
M. Hamidi: On Superhyper BCK-Algebras, Sets. Syst. 55 (2023), 580-588.
Y. Imai and K. Iseki: On axiom systems of propositional calculi, XIV, Proc. Japan Acad. Ser. A Math. Sci. 42 (1966), 19–22.
K. Iseeki: An algebra related with a propositional calculus, Proc. Japan Academy. 42 (1966), 26-29.
K. Iseeki: On BCI-algebras, Math. Seminar Not. 8 (1980), 125–130.
Y. B. Juny, E. H. Rohz and H. S. Kim: On BH-Algebras, Sci. Math. 1(3) (1998), 347-354.
Y. B. Jun, M. M. Zahedi, X. L. Xin and R. A. Borzooei: On hyper BE-algebras, Ital. J. Pure Appl. Math. 10 (2000), 127–136.
A. Radfar, A. Rezaei and A. Borumand Saeid: Hyper BE–algebras, Novi Sad J. Math. 44(2) (2014), 137–147.
F. Smarandache: Extension of HyperGraph to n-SuperHyperGraph and to Plithogenic n-SuperHyperGraph, and Extension of HyperAlgebra to n-ary (Classical-/Neutro-/Anti-)HyperAlgebra, Sets. Syst. 33 (2020), 290-296.
F. Smarandache: Generalizations and Alternatives of Classical Algebraic Structures to NeutroAlgebraic Structures and AntiAlgebraic Structures, J. Fuzzy. Ext. Appl. 1(2) (2020), 85-87.
F. Smarandache: The SuperHyperFunction and the Neutrosophic SuperHyperFunction, Sets. Syst. 49 (2022), 594-600.
F. Smarandache: Introduction to SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra, Journal of Algebraic Hyperstructuresand Logical Algebras. 3(2) (2022), 17-24.
M. M.Takallo, R. A. Borzooei, S. Z Song and Y. B. Jun: Implicative ideals of BCK-algebras based on MBJ-neutrosophic sets, Aims. Math. 6(10) (2021), 11029-11045.
A. Walendzia: On commutative BE–algebras, Sci. Math. Jpn. 69 (2009) , 281-284.
J. Zhan, M. Hamidi and A. Boroumand Saeid: Extended Fuzzy BCK-Subalgebras, Iran. J. Fuzzy Syst. 13(4) (2016), 125–144.
DOI: https://doi.org/10.22190/FUMI230707029J
Refbacks
- There are currently no refbacks.
ISSN 0352-9665 (Print)