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In this paper, we gave classifications of \xi(s)-quadratic stochastic operators (in short QSO) in 2D simplex and studied asymptotic behaviors of some classes of \xi(s)-QSO.MALAYSIAN SCIENCE 'ECBNOLOGY CONGRESS Transforming the S& T Resources for Sustainable High Income Society PROGRAMME AND ABS,.RAC,.S I ~Wa?nJ IDIDWa([iJmam ~ID~~ [j[i[] ~1