Game method for modeling

In the book, the basic results, related to the theoretical aspect of the GMM, are collected. Some of the GMM applications are described in a simpler form as illustrations. In future, a part of hem will be extended to real models. For example, a series of models have been already prepared, for forest fires, taking into consideration the strength and direction of wind, characteristics of terrain, speed of wood burning and speed of fire spread, as well as other factors. In these models, the grids are 3-dimensional spaces. These models provoked some new ideas for extension of the theoretical research and possibilities for new applications, that will be object of research in near future.

АИ Проф. Марин Дринов
София 1113
ул. Академик Георги Бончев, блок 6
sales@aph.bas.bg

Standard GMM

• Desctriotion of the game method for modelling from chrisp point of view
• An example: application of GMM in astronomy
• An example: GMM and Fibonacci type of sequences
• GMM, Turning machine and Cellular automation
• GMM and neutral networks
• GMM and ACO algorithms

GMM with intuitionistic fuzzy estimations

• Short remarks on intuitionistic fuzzy sets and logic
• Intuitionistic fuzzy interpretations of Conway's Game of Life
• Six criteria of existence of an asterisk
• Four criteria for the "birth" of an asterisk
• Four criteria for the "death" of an asterisk
• Intuitionistic fuzzy rulles for changing tha game-field
• Intuitionistic fuzzy interpretations of GMM
• Six criteria of existence of an object
• Intuitionistic fuzzy rules for changing of the GMM-field
• Transformations of the game-field by modal and extended modal operatos
• Intuitionistic fuzzy rules for interacion
• Intuitionistic fuzzy criteria for proximity of GMM-configurations

Applications of GMM

• Applications of GMM for simulating some aspects of forest dynamics
• Applications of GMM for simulating of development of forest fire
• Applications of GMM for simulating oil transformations in the marine environment
• Applications of GMM for contructing of Voronoi's diagrams
• GMM and Brownian-like motions
• GMM for solving variants of the Steiner-Rosenbaum's problems

Conclusion
Bibliography
Index