학술논문
How to Describe Variety of a Probability Distribution: A Possible Answer to Yager’s Question
Document Type
Conference
Author
Source
2022 IEEE 11th International Conference on Intelligent Systems (IS) Intelligent Systems (IS), 2022 IEEE 11th International Conference on. :1-4 Oct, 2022
Subject
Language
ISSN
2767-9802
Abstract
Entropy is a natural measure of randomness. It progresses from its smallest possible value 0 – when we have a deterministic case in which one alternative i occurs with probability 1 (p i = 1), to the largest possible value which is attained at a uniform distribution p 1 = … = p n = 1/n. Intuitively, both in the deterministic case and in the uniform distribution case, there is not much variety in the distribution, while in the intermediate cases, when we have several different values p i , there is a strong variety. Entropy does not seem to capture this notion of variety. In this paper, we discuss how we can describe this intuitive notion.