关于实用离散随机变量和犹豫模糊集的注

Remarks on practical discrete random variables and hesitant fuzzy sets

例示格论在概念修补和刻画中的一种应用,给出了基于实数集上的通常序的2-型模糊集的定义,定义了实用离散随机变量,研究其序方面(包括实用离散随机变量的直观模糊集表示),给出了与偏序关系关联的犹豫模糊集的定义;研究其序方面(包括犹豫模糊集的运算以及犹豫模糊集的软集表示或2-型模糊集表示),构造了具有一定启发性的例子。

This study exemplified an application of the lattice theory in concept amend and characterizing.The notion of type-2 fuzzy set was redefined relying on the ordinary order on the real number set.The notion of practical discrete random variable was defined and their order aspects,including intuitive representations of practical discrete random variables by using fuzzy sets,were studied;the notion of hesitant fuzzy set pertinent to the notion of partial order was redefined and their order aspects,including operations and representations of hesitant fuzzy sets by using soft sets or type-2 fuzzy sets,were studied.Some related examples which were illuminating in a degree were also constructed.