Abstract | ||
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Knowing the applications of logical algebras in various fields, such as artificial intelligence or coding theory, in this paper, we study some properties of a special class of such algebras, namely finite Wajsberg algebras. For this purpose, we give a representation theorem for finite Wajsberg algebras and give a formula for the number of non-isomorphic Wajsberg algebras of order n; also we give the total number of finite Wajsberg algebras of order n. Since a big value of n involves a lot of computations, as examples, we present and describe all finite Wajsberg algebras of order n <= 9. |
Year | DOI | Venue |
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2020 | 10.1007/s00521-019-04676-x | NEURAL COMPUTING & APPLICATIONS |
Keywords | DocType | Volume |
MV-algebras,Wajsberg algebras,BCK-commutative algebras | Journal | 32.0 |
Issue | ISSN | Citations |
17 | 0941-0643 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Cristina Flaut | 1 | 3 | 4.73 |
ŠáRka HošKová-Mayerová | 2 | 2 | 5.24 |
arsham borumand saeid | 3 | 130 | 32.22 |
Radu Vasile | 4 | 0 | 0.34 |