Fuzzy Mathematical Modelling and Lexicographical Solution Concept in Fuzzy Games

Authors

  • Amit Kumar  Research Scholar, University Department of Mathematics, B. R. A. Bihar University, Muzaffarpur, Bihar, India
  • Dr. K. B. Singh  Assistant Professor, P. G. Department of Physics, L. S. College, Muzaffarpur, B. R. A. Bihar University, Muzaffarpur, Bihar, India
  • Dr. B. P. Kumar  Retd. Professor & Head, University Department of Mathematics, B. R. A. Bihar University, Muzaffarpur, Bihar, India

DOI:

https://doi.org/10.32628/IJSRST2310131

Keywords:

Fuzzy Logic, Game Theory, Topological Game

Abstract

In this paper, we present about the fuzzy mathematical modelling and lexicographical solution concept in fuzzy games. By introducing the concept of topological game over an ideal 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. Kumar, B.P. (1982): Lattice & topological approach to game theory, Ph.D. thesis, Bhagalpur Univ., Bhagalpur (Bihar).
  2. Kondel,A. (1982) A fuzzy techniques in Pattern recognition, John Wiley, New York.
  3. M.Davis and (1965) The Kernel of Co-operative game, Nawal Research M. Maschler Logistics Quarterly 12,223-259.

International Journal of Scientific Research in Science and Technology

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Published

2023-02-28

Issue

Volume 10, Issue 1, January-February-2023

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]
Amit Kumar, Dr. K. B. Singh, Dr. B. P. Kumar "Fuzzy Mathematical Modelling and Lexicographical Solution Concept in Fuzzy Games" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 10, Issue 1, pp.266-269, January-February-2023. Available at doi : https://doi.org/10.32628/IJSRST2310131