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

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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.


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PARAMESWARI K, VELAMMAL G. Momentum Ranking Function of Z-Numbers and its Application to Game Theory. Baghdad Sci.J [Internet]. 2023 Mar. 1 [cited 2023 Mar. 21];20(1(SI):0305. Available from:


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