Fuzzy Set Theory and Topological Games over Some Rectangular Product Spaces and Its Fuzzification

Authors

  • Anand Kumar Singh Department of Mathematics, L. N. College, Bhagwanpur, B. R. A. Bihar University, Muzaffarpur, Bihar, India Author

DOI:

https://doi.org/10.32628/IJSRST25121223

Keywords:

Fuzzy set theory, Topological space, Game theory, Core and stable sets

Abstract

In this paper we present fuzzy sets theory and topological games over some rectangular product spaces and its fuzzification. By introducing the concept of topological game over an ideal of topological space, a game over some rectangular product is played. Fuzzy set theory has been applied to fuzzified some of the results obtained.

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References

Engelking, R. (1966): Outline of general topology, Amesterdan.

Kumar, B.P. (1982): Lattice & topological approach to game theory, Ph.D. thesis, B.R.A.Bihar University, Muzaffarpur.

Telgarsky, R. (1974) : Closure preserving covers, Fund. Maths., 85.

Zedeh, L.A. (1965): Fuzzy Sets, Information and Control 8.

George J. Klir and Bo Yuan (1995) : Fuzzy sets and Fuzzy Logic : Theory and Applications.

Von Neumann (1965) : Theory of Games and Economic Behavour.

B.P. Kumar & Sanjay Kumar (2004): covering prop. of spaces defined by games and its fuzzification. Proc. Advances in Maths & its appl. Gorakhpur.

International Journal of Scientific Research in Science and Technology

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Published

27-02-2025

Issue

Vol. 12 No. 1 (2025): January-February

Section

Research Articles

License

Copyright (c) 2025 International Journal of Scientific Research in Science and Technology

Creative Commons License

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

https://creativecommons.org/licenses/by/4.0

How to Cite

Fuzzy Set Theory and Topological Games over Some Rectangular Product Spaces and Its Fuzzification. (2025). International Journal of Scientific Research in Science and Technology, 12(1), 755-757. https://doi.org/10.32628/IJSRST25121223