On Intuitionistic Fuzzy Entropy of Order-α

Using the idea of Rènyi’s entropy, intuitionistic fuzzy entropy of order-α is proposed in the setting of intuitionistic fuzzy sets theory. This measure is a generalized version of fuzzy entropy of order-α proposed by Bhandari and Pal and intuitionistic fuzzy entropy defined by Vlachos and Sergiadis....

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Bibliographic Details
Main Authors: Rajkumar Verma, BhuDev Sharma
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2014/789890
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Summary:Using the idea of Rènyi’s entropy, intuitionistic fuzzy entropy of order-α is proposed in the setting of intuitionistic fuzzy sets theory. This measure is a generalized version of fuzzy entropy of order-α proposed by Bhandari and Pal and intuitionistic fuzzy entropy defined by Vlachos and Sergiadis. Our study of the four essential and some other properties of the proposed measure clearly establishes the validity of the measure as intuitionistic fuzzy entropy. Finally, a numerical example is given to show that the proposed entropy measure for intuitionistic fuzzy set is reasonable by comparing it with other existing entropies.
ISSN:1687-7101
1687-711X