Study of Cooperative Games 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/IJSRST25123161

Keywords:

Fuzzy Set Theory, Topological Space, Game Theory, Cooperative Game

Abstract

In this paper we present cooperative games and its fuzzification. A cooperative game (or coalitional game is usually described by a set of players and a characteristics function. In a transferable utility games only one number is attached to each coalition. Cooperative games are useful in considering profit allocation among multiple decision makes who cooperate with each other.

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References

B. P. Kumar, (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.

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Published

30-06-2025

Issue

Section

Research Articles