Hybrid Events Joint Entropy and Conditional Entropy Based on Chance Measure

Abstract

We usually meet many uncertain phenomena because “uncertainty is absolute and certainty is relative” in the real world. Many
researchers have studied the entropy of many events for measuring the degree of their uncertainty. In this paper, we study the joint entropy of
hybrid vector and the conditional entropy of a hybrid variable given another, and give the form of conditional entropy with discrete random
fuzzy variable and discrete fuzzy random variable.

Keywords: Hybrid variable; Chance measure; Joint entropy; Conditional entropy