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Entropy 2018, 20(6), 403; https://doi.org/10.3390/e20060403

Vague Entropy Measure for Complex Vague Soft Sets

1
Department of Actuarial Science and Applied Statistics, Faculty of Business & Information Science, UCSI University, Jalan Menara Gading, Cheras 56000, Kuala Lumpur, Malaysia
2
School of Mathematics, Thapar Institute of Engineering & Technology (Deemed University), Patiala 147004, Punjab, India
3
A-Level Academy, UCSI College KL Campus, Lot 12734, Jalan Choo Lip Kung, Taman Taynton View, Cheras 56000, Kuala Lumpur, Malaysia
*
Author to whom correspondence should be addressed.
Received: 12 March 2018 / Revised: 16 May 2018 / Accepted: 17 May 2018 / Published: 24 May 2018
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Abstract

The complex vague soft set (CVSS) model is a hybrid of complex fuzzy sets and soft sets that have the ability to accurately represent and model two-dimensional information for real-life phenomena that are periodic in nature. In the existing studies of fuzzy and its extensions, the uncertainties which are present in the data are handled with the help of membership degree which is the subset of real numbers. However, in the present work, this condition has been relaxed with the degrees whose ranges are a subset of the complex subset with unit disc and hence handle the information in a better way. Under this environment, we developed some entropy measures of the CVSS model induced by the axiomatic definition of distance measure. Some desirable relations between them are also investigated. A numerical example related to detection of an image by the robot is given to illustrate the proposed entropy measure. View Full-Text
Keywords: vague entropy; distance induced vague entropy; distance; complex fuzzy set; complex vague soft set vague entropy; distance induced vague entropy; distance; complex fuzzy set; complex vague soft set
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Selvachandran, G.; Garg, H.; Quek, S.G. Vague Entropy Measure for Complex Vague Soft Sets. Entropy 2018, 20, 403.

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