Solving Fuzzy Game Problem in Octagonal NEUTROSOPHIC Numbers Using Heavy OWA Operator

  • Authors

    • K. Selvakumari
    • S. Lavanya
    2018-12-13
    https://doi.org/10.14419/ijet.v7i4.39.24362
  • Octagonal Neurosophic numbers, fuzzy game matrix, ordered weighted averaging (OWA) operator.
  • In this paper, we define octagonal neutrosophic number (ONN) and operations on it. Also, we define -cut sets of ONN. We use octagonal neutrosophic numbers as pay offs of two- person zero sum game and propose a new method to find the best strategies for the two players using heavy ordered weighted averaging (HOWA) operator on these numbers. The applicability of this method is explained through a numerical example

     
  • References

    1. [1] T.S. Liou and M.J. Wang, “Ranking fuzzy numbers with integral valueâ€, Fuzzy Sets Syst., 50 (3), 247-255, 1992.

      [2] D. F. Li, C. T. Cheng, “New similarity measures of Intuitionistic Fuzzy sets & application to pattern recognitionsâ€. Pattern recognition letters, 23 (1-3),221-225, 2002.

      [3] J. M. Merigo, M. Casanovas, “Using fuzzy numbers in heavy aggregation operatorsâ€, International Journal of Information and Communication Engineering, 2008, 4(7): 487-492.

      [4] T. Maeda, “On Characterization of equilibrium strategy of two-person zero sum games with fuzzy payoffsâ€, Fuzzy sets & systems, 139(2)(2004), 283-296.

      [5] F.Smarandache, “Neutrosophy and Neutrosophic Logic , First International Conference on Neutrosophy, Neutrosophic logic ,set, Probability & Statistics,†University of New Mexico, Gallup, NM 87301.,USA (2002)

      [6] F.Smarandache, “Neutrosophic set, a generalization of the intuitionistic fuzzy setsâ€, International Journal of Pure and Applied Mathematics. 24. 287-297 (2005).

      [7] V. Vijay, S. Chandra, C.R. Bector, “Matrix games with fuzzy goals and fuzzy payoffsâ€, Omega,33(5)(2005), 425-429.

      [8] R. R. Yager, “On Ordered Weighted Averaging Aggregation Operators in Multi- Criteria Decision Makingâ€. IEEE Transactions on Systems, Man and Cybernetics, 1988, 18: 183-190.

      [9] R. R. Yager, “Heavy OWA operators,†Fuzzy Optimization and decision making, vol.1, no.4, pp.379-397,2002.

      [10] Zadeh L. A. “Fuzzy Setsâ€. Information and control, 1965, 8(3): 338-353.

  • Downloads

  • How to Cite

    Selvakumari, K., & Lavanya, S. (2018). Solving Fuzzy Game Problem in Octagonal NEUTROSOPHIC Numbers Using Heavy OWA Operator. International Journal of Engineering & Technology, 7(4.39), 497-499. https://doi.org/10.14419/ijet.v7i4.39.24362