Momentum Ranking Function of Z-Numbers and its Application to Game Theory

Authors

K. PARAMESWARI, Madurai Kamaraj University, Madurai, Tamil Nadu, India / Department of Mathematics, Sri Meenakshi Government Arts College for Women (A), Madurai, Tamil Nadu, India.Follow
G. VELAMMAL, Department of Mathematics, Sri Meenakshi Government Arts College for Women (A), Madurai, Tamil Nadu, India.Follow

Abstract

After Zadeh introduced the concept of z-number scientists in various fields have shown keen interest in applying this concept in various applications. In applications of z-numbers, to compare two z-numbers, a ranking procedure is essential. While a few ranking functions have been already proposed in the literature there is a need to evolve some more good ranking functions. In this paper, a novel ranking function for z-numbers is proposed- "the Momentum Ranking Function"(MRF). Also, game theoretic problems where the payoff matrix elements are z-numbers are considered and the application of the momentum ranking function in such problems is demonstrated.

Keywords

Momentum Ranking Function, z-Games, z-number, z-payoff matrix, z-saddle point

Article Type

Special Issue Article

Creative Commons License

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

How to Cite this Article

PARAMESWARI, K. and VELAMMAL, G. (2023) "Momentum Ranking Function of Z-Numbers and its Application to Game Theory," Baghdad Science Journal: Vol. 20: Iss. 1, Article 46.
DOI: https://doi.org/10.21123/bsj.2023.8428