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Keywords = distance induced vague entropy

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19 pages, 5725 KiB  
Article
Vague Entropy Measure for Complex Vague Soft Sets
by Ganeshsree Selvachandran, Harish Garg and Shio Gai Quek
Entropy 2018, 20(6), 403; https://doi.org/10.3390/e20060403 - 24 May 2018
Cited by 37 | Viewed by 4092
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 [...] Read more.
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. Full article
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