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Constructing a Heyting Semilattice that has Wajesberg Property by Using Fuzzy Implicative Deductive Systems of Hoops.
- 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]
- Subjects :
- *HEYTING algebras
*CONGRUENCE lattices
*SEMILATTICES
Subjects
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