Trends, probability functions and fuzzy right ideals for d-algebras

Abstract

In this paper, we introduce the notion of a trend (probability function) on a d-algebra, and obtain an equivalent condition defining a trend pi(0) with condition (j) on a standard BCK-algebra. We obtain an example of d-algebra such that any function phi : X -> (0, 1) with integral(infinity)(0) phi(z)dz < infinity is a fuzzy co-right ideal.