Discrete Analogue of Fishburn’s Fractional-Order Stochastic Dominance

A stochastic dominance (SD) relation can be defined by two different perspectives: One from the view of distributions, and other one expected utilities. In early days, Fishburn investigated SD we refer this perspective as Fishburn’s SD. his many results was development fractional-order for continuous distributions. However, discrete cannot directly generalized, because some properties fractional calculus may not possess a counterpart. paper, develop analogue utilities We generalize order Lizama’s delta operator, show preservation hierarchy, formulate utility classes that are congruent with our relations. This work brings message generalized characterize difference between SD, well way to handle it further applications in mathematics computer science.