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- Title
Genetic Algebras generated by b−bistochastic Quadratic Stochastic Operators: The Character and Associativity.
- Authors
Embong, A. F.; Zulkifly, M. I. E.; Awg Arifin, D. N. A.
- Abstract
In the present paper we consider a genetic algebra induced by b−bistochastic Quadratic Stochastic Operators (QSOs) which is called b−bistochastic genetic algebra. First, we characterize their nontrivial character function on Rn. It turns out that, the given character function is not unique, hence full descriptions of such functions on R¹ and R² are established. Moreover, the defined algebra is commutative but not associative in general, hence, the associativity of b−bistochastic genetic algebras defined on R¹ and R² are described. In this work, the existence of non-trivial derivations on such algebras are given.
- Subjects
COMMUTATIVE algebra; ALGEBRA; NONASSOCIATIVE algebras; NONLINEAR operators; GENETIC algorithms
- Publication
Malaysian Journal of Mathematical Sciences, 2023, Vol 17, Issue 1, p25
- ISSN
1823-8343
- Publication type
Article
- DOI
10.47836/mjms.17.1.03