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Journal of Mathematics
Volume 2014 (2014), Article ID 972198, 12 pages
Research Article

On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies

Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, Himachal Pradesh 173234, India

Received 21 May 2014; Revised 14 November 2014; Accepted 17 November 2014; Published 14 December 2014

Academic Editor: Hee S. Kim

Copyright © 2014 Tanuj Kumar and Rakesh Kumar Bajaj. 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.


We introduce the concept of complex intuitionistic fuzzy soft sets which is parametric in nature. However, the theory of complex fuzzy sets and complex intuitionistic fuzzy sets are independent of the parametrization tools. Some real life problems, for example, multicriteria decision making problems, involve the parametrization tools. In order to get their new entropies, some important properties and operations on the complex intuitionistic fuzzy soft sets have also been discussed. On the basis of some well-known distance measures, some new distance measures for the complex intuitionistic fuzzy soft sets have also been obtained. Further, we have established correspondence between the proposed entropies and the distance measures of complex intuitionistic fuzzy soft sets.