A Survey of Entropy of Fuzzy Variables ∗
نویسنده
چکیده
Given a fuzzy variable, what is the degree of difficulty of predicting the specified value that the fuzzy variable will take? Entropy provides a measure to characterize the fuzziness. Given some constraints, there are usually multiple compatible membership functions. Which membership function shall we take? The maximum entropy principle attempts to select the membership function that maximizes the value of entropy. This paper provides a personal (not balanced) overview of entropy of fuzzy variables and fuzzy maximum entropy principle. Three basic requirements for entropy of fuzzy variables are also introduced. Finally, the cross-entropy and quadratic entropy of fuzzy variables are documented. c © 2007 World Academic Press, UK. All rights reserved.
منابع مشابه
A new hybrid method based on fuzzy Shannon’s Entropy and fuzzy COPRAS for CRM performance evaluation (Case: Mellat Bank)
Customer relationship management is a multiple perspective business paradigm which helps companies gaining competitive advantage through relationships with their customers. An integrated framework for evaluating CRM performance is an important issue which is not addressed completely in previous studies. The main purpose and the most important contribution of this study is introducing a framewor...
متن کاملTsallis Entropy and Conditional Tsallis Entropy of Fuzzy Partitions
The purpose of this study is to define the concepts of Tsallis entropy and conditional Tsallis entropy of fuzzy partitions and to obtain some results concerning this kind entropy. We show that the Tsallis entropy of fuzzy partitions has the subadditivity and concavity properties. We study this information measure under the refinement and zero mode subset relations. We check the chain rules for ...
متن کاملA local approach to the entropy of countable fuzzy partitions
This paper denes and investigates the ergodic proper-ties of the entropy of a countable partition of a fuzzy dynamical sys-tem at different points of the state space. It ultimately introducesthe local fuzzy entropy of a fuzzy dynamical system and proves itto be an isomorphism invariant.
متن کاملA Framework for Optimal Attribute Evaluation and Selection in Hesitant Fuzzy Environment Based on Enhanced Ordered Weighted Entropy Approach for Medical Dataset
Background: In this paper, a generic hesitant fuzzy set (HFS) model for clustering various ECG beats according to weights of attributes is proposed. A comprehensive review of the electrocardiogram signal classification and segmentation methodologies indicates that algorithms which are able to effectively handle the nonstationary and uncertainty of the signals should be used for ECG analysis. Ex...
متن کاملMean-Entropy Model for Portfolio Selection with Type-2 Fuzzy Returns
Entropy is a measurement of the degree of uncertainty. Meanentropy method can be used for modeling the choice among uncertain outcomes. In this paper, we consider the portfolio selection problem under the assumption that security returns are characterized by type-2 fuzzy variables. Since the expectation and entropy of type-2 fuzzy variables haven’t been well defined, type-2 fuzzy variables need...
متن کامل