Journal Name:
- Çankaya University Journal of Science and Engineering
Key Words:
| Author Name | University of Author |
|---|---|
Abstract (2. Language):
In this paper, we introduce the concept of hyper lattice implication algebras which is established
by combining the concept of hyper lattices and hyper implication algebras. We give some important examples
of hyper lattice implication algebras and obtain some of their properties. Then, we characterize hyper lattice
implication algebras in which 1 is an implication scalar element. We prove that the implication reduction of
hyper lattice implication algebras is a regular commutative fuzzy implication algebra, if 1 is an implication
scalar element. Finally, we define the notion of isomorphisms between two hyper lattice implication algebras
and obtain all of the hyper lattice implication algebras of order 2.
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