Journal of Formalized Mathematics
Volume 11, 1999
University of Bialystok
Copyright (c) 1999 Association of Mizar Users

Basic Properties of Genetic Algorithm

Akihiko Uchibori
Yamaguchi University, Ube
Noboru Endou
Shinshu University, Nagano

Summary.

We defined the set of the gene, the space treated by the genetic algorithm and the individual of the space. Moreover, we defined some genetic operators such as one point crossover and two points crossover, and the validity of many characters were proven.

MML Identifier: GENEALG1

The terminology and notation used in this paper have been introduced in the following articles [7] [8] [1] [3] [9] [2] [6] [5] [4]

Contents (PDF format)

1. Definitions of Gene-Set, GA-Space and Individual
2. Definitions of Several Genetic Operators
3. Properties of 1-point Crossover
4. Properties of 2-points Crossover
5. Properties of 3-points Crossover
6. Properties of 4-points Crossover
7. Properties of 5-points Crossover
8. Properties of 6-points Crossover

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