Vague soft sets and their properties

Authors:
Wei Xu;Jian Ma;Shouyang Wang;Gang Hao
Affiliations:
School of Information, Renmin University of China, 100872, PR China and School of Management, Graduate University of Chinese Academy of Sciences, Chinese Academy of Sciences, Beijing, 100080, PR C ...;Department of Information Systems, City University of Hong Kong, Hong Kong;School of Management, Graduate University of Chinese Academy of Sciences, Chinese Academy of Sciences, Beijing, 100080, PR China and Institute of Systems Science, Academy of Mathematics and System ...;Department of Management Sciences, City University of Hong Kong, Hong Kong
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainty. However, it is difficult to be used to represent the vagueness of problem parameters. In this paper, we introduce the notion of vague soft set which is an extension to the soft set. The basic properties of vague soft sets are presented and discussed.