A Theory for Measuring the Preference of Fuzzy Numbers

摘要: Here, sigmoid function-based preference measures for intervals and fuzzy numbers are introduced, their main properties outlined. Also, formulas the numerical computation of proposed presented. Next, it is demonstrated that asymptotically well-known probability-based numbers. Using new measure, two parametric crisp relations, which have common parameters, over a collection introduced. shown limits these relations can be used to rank Namely, proved limit one strict order relation, while other may viewed as an indifference relation. This relation capture situations where cannot judged; so, considered being indifferent.