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On b-bistochastic quadratic stochastic operators

Farrukh MukhamedovDepartment of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box 141, Kuantan, Pahang, 25710, MalaysiaAhmad Fadillah EmbongDepartment of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box 141, Kuantan, Pahang, 25710, Malaysia
2015en
ABI

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In the present paper we introduce a new notion of order called b-order. Then we define a bistochasticity quadratic stochastic operator (q.s.o.) with respect to the b-order, and call it a b-bistochastic q.s.o. We include several properties of the b-bistochastic q.s.o. and descriptions of all b-bistochastic q.s.o. defined on a two dimensional simplex.

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