Entropy of Discrete Fuzzy Measures

The concept of entropy of a discrete fuzzy measure has been recently introduced in two different ways. A first definition was proposed by Marichal [10] in the aggregation framework, and a second one by Yager [25] in the framework of uncertain variables. We present a comparative study between these two proposals and point out their properties. We also propose a definition for the entropy of an ordinal fuzzy measure, that is, a fuzzy measure taking its values in an ordinal scale in the sense of measurement theory.

• Type: Journal
• Year: 2000
• Where: IJUFKS
• Authors: Jean-Luc Marichal, Marc Roubens
• Keywords: Discrete Fuzzy Measure, Fuzzy Measure, IJUFKS 2000, Ordinal Fuzzy Measure