On Connection Between Uncertainty Algebraic Hypersystems and Probability Spaces

Abstract

Using the concept of triangular norm, we define T-fuzzy subalgebraic hypersystems, we examine a number of extended uncertainty algebraic hypersystems and study a few results in this respect. In fact, we define a probabilistic version of algebraic hypersystems using random sets. We show that fuzzy algebraic hypersystems defined in triangular norms are consequences of probabilistic algebraic hypersystems under certain conditions.

Applications of interval valued t-norms (t-conorms) to fuzzy n-ary sub-hypergroups

“…We start by giving some known and useful definitions and notations from [11,18,64]. Let ðH; f Þ be an n-ary hypergroup.…”

Universal Hyperdynamical Systems

“…Ameri and Zahedi in [2], Davvaz in [6] and Pelea and Purdea in [17] studied algebraic hypersystems. The notion of n-hypergroup was first introduced by Davvaz and Vougiouklis as a generalization of n-ary group [7], and studied mainly by Leoreanu-Fotea and Davvaz [12,13,14].…”