Back to Search Start Over

Constructing a Heyting Semilattice that has Wajesberg Property by Using Fuzzy Implicative Deductive Systems of Hoops.

Authors :
Kologani, M. Aaly
Xin, X. L.
Takallo, M. Mohseni
Jun, Y. B.
Borzooei, R. A.
Source :
Journal of Mathematical Extension. 2022, Vol. 16 Issue 9, p1-20. 20p.
Publication Year :
2022

Abstract

In this paper, we defined the notions of (∈, ∈)-fuzzy implicative deductive systems and (∈, ∈ ∨ q)-fuzzy implicative deductive systems of hoops and studied some traits and tried to define some definitions that are equivalent to them. Thus by using the notion of (∈, ∈)-fuzzy deductive system of hoop, we defined a new congruence relation on hoop and show that the algebraic structure that is made by it is a Brouwerian semilattice, Heyting algebra and Wajesberg hoop. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17358299
Volume :
16
Issue :
9
Database :
Academic Search Index
Journal :
Journal of Mathematical Extension
Publication Type :
Academic Journal
Accession number :
155800159