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Concept Formation Model of the Shape of Two-Dimensional Multimodal Functions and Its Application to Optimization

In: Global Interdependence

Author

Listed:
  • Mitsuru Tsukamoto

    (Ritsumeikan University, Department of Computer Science and Systems Engineering, Faculty of Science and Engineering)

  • Katsuari Kamei

    (Ritsumeikan University, Department of Computer Science and Systems Engineering, Faculty of Science and Engineering)

  • Kazuo Inoue

    (Ritsumeikan University, Department of Computer Science and Systems Engineering, Faculty of Science and Engineering)

Abstract

This paper describes a method of concept formation of human beings and its application to optimization. Human beings are able to grasp general shapes with only a small amount of information by using heuristics and fuzziness. We use the words “TOP,” “SIDE,” and “BOTTOM” of the mountain as basic concepts for representing a two-dimensional multimodal shape. The basic concepts for each point on a surface are defined by “IF-THEN” rules. First, a maximal point search experiment is carried out and the concept formation proceeding is observed. Secondly, the heuristical algorithm of human subjects is extracted. Next, the algorithm is represented using some simple rules. Finally, the human subjects’ shape-grasping process is simulated on a computer. The results are comparable to concepts of shape formed by human subjects, so the similarity between them can be confirmed. The proposed method is useful in making a machine-oriented concept formation of shape such as a topographic map.

Suggested Citation

  • Mitsuru Tsukamoto & Katsuari Kamei & Kazuo Inoue, 1992. "Concept Formation Model of the Shape of Two-Dimensional Multimodal Functions and Its Application to Optimization," Springer Books, in: David Crookall & Kiyoshi Arai (ed.), Global Interdependence, pages 339-339, Springer.
    • Handle: RePEc:spr:sprchp:978-4-431-68189-2_66
    DOI: 10.1007/978-4-431-68189-2_66
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