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Advances in Fuzzy Systems
Volume 2014, Article ID 789890, 8 pages
http://dx.doi.org/10.1155/2014/789890
Research Article

On Intuitionistic Fuzzy Entropy of Order-α

1Department of Applied Sciences, HMR Institute of Technology and Management, Guru Gobind Singh Indraprastha University, Hamidpur, Delhi-110036, India
2Department of Mathematics, Jaypee Institute of Information Technology (Deemed University), A-10, Sector 62, Noida-201307, Uttar Pradesh, India

Received 19 January 2014; Revised 15 July 2014; Accepted 17 July 2014; Published 3 September 2014

Academic Editor: Ning Xiong

Copyright © 2014 Rajkumar Verma and BhuDev Sharma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.