On the Completeness of Classes of Correcting Functions of Heuristic Algorithms


Kabulov A. Normatov I. Saymanov I. Baizhumanov A.
January 2025Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan

Azerbaijan Journal of Mathematics
2025#15Issue 251 - 64 pp.

We study classes of monotone k-valued corrective functions that preserve values when heuristic algorithms make the correct decision, defined on a certain subset of sets of n-dimensional k-valued lattice Sn and corrective sets of heuristic algorithms for solving problems from poorly formalized areas. To completely solve the problem of constructing the simplest continuation in classes of corrective functions, theorems on the completeness of classes of monotone k-valued functions and functions preserving sets of Sn for k = 3 are proved, and also bases are created in the given classes.

completeness , corrective function , heuristic algorithm , k-valued , monotone

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New Uzbekistan University
National University of Uzbekistan
O. Zhanibekov South Kazakhstan State Pedagogical University

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