Study of Fuzzy Topological Modelling of Fuzzy Games

Authors

  • Prof. Mushtaque Khan  Professor of Mathematics, K. R. College, Gopalganj, J. P. University, Chapra, India
  • Dr. K. B. Singh  Assistant Professor, P. G. Department of Physics, L. S. College, Muzaffarpur, B. R. A. Bihar University, Muzaffarpur, Bihar, India
  • Ajai Kumar  Research Scholar, University Department of Mathematics, J. P. University, Chapra, India

Keywords:

Fuzzy Logic, Game Theory, Topological Game.

Abstract

In this paper, we present about the study of fuzzy topological modelling of stochastic games. By introducing the concept of topological game over an idea of Hausdorff space, a game over some special product space is played. Fuzzy set theory has been applied to fuzzify some of the results obtained.

References

  1. Engelking, R. (1966): Outline of general topology, Amesterdan.
  2. Kumar, B.P. (1982): Lattice & topological approach to game theory, Ph.D. thesis, B.R.A.Bihar University, Muzaffarpur.
  3. Telgarsky, R. (1974) : Closure preserving covers, Fund. Maths., 85.
  4. Zedeh, L.A. (1965): Fuzzy Sets, Information and Control 8.
  5. George J. Klir and Bo Yuan (1995) : Fuzzy sets and Fuzzy Logic : Theory and Applications.
  6. Von Neumann (1965) : Theory of Games and Economic Behavour.

International Journal of Scientific Research in Science and Technology

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Published

2024-02-29

Issue

Volume 11, Issue 1, January-February-2024

Section

Research Articles

License

Copyright (c) IJSRST

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Prof. Mushtaque Khan, Dr. K. B. Singh, Ajai Kumar "Study of Fuzzy Topological Modelling of Fuzzy Games" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 11, Issue 1, pp.672-675, January-February-2024.