Abstract
Interval-valued fuzzy soft set (IVFSs) is a new and effective mathematical tool used for processing incomplete and uncertain data. In order to describe and measure uncertain information of IVFSs perfectly, dynamic analysis of granular computing based on covering about IVFSs is originally discussed in this paper. Firstly, the α-dominance relation between any two objects in IVFSs is built by constructing the possibility degree or the weighted possibility degree after standardization, then α-dominance class and α-covering approximation space of IVFSs could be generated on this relation. Secondly, knowledge capacity is proposed to measure the granular information through introducing concepts of the description set and the indistinguishability set. Finally, an illustrative example shows dynamic changes of uncertain information under different granular structure.
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Xu, D., Fu, Y., Mao, J. (2013). Dynamic Analysis of IVFSs Based on Granularity Computing. In: Ciucci, D., Inuiguchi, M., Yao, Y., Ślęzak, D., Wang, G. (eds) Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing. RSFDGrC 2013. Lecture Notes in Computer Science(), vol 8170. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41218-9_27
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DOI: https://doi.org/10.1007/978-3-642-41218-9_27
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