A Development of Inclusion-degree-based Rough Fuzzy Random Sets

作者：Ha Minghu; Pedrycz Witold^*; Zhang Aiquan; Fan Yijun

来源：Fundamenta Informaticae, 2008, 86(4): 481-502.

• Rough sets
• Fuzzy random sets
• Inclusion degree
• Rough approximation operators
• Decision tables

Given a widespread interest in rough sets as being applied to various tasks of data analysis, it is not surprising at all that we have witnessed a wave of further generalizations and algorithmic enhancements of this original concept. In this study, we investigate an idea of rough fuzzy random sets. This construct provides us with a certain generalization of rough sets by introducing the concept of inclusion degree. The underlying objective behind this development is to address the problems which involve co-existing factors of fuzziness and randomness thus giving rise to a notion of the fuzzy random approximation space based on inclusion degree. Some essential properties of rough approximation operators of such rough fuzzy random sets are discussed. Further theoretical foundations for the formation of rules constructed on a basis of available decision tables are offered as well.

• 出版日期2008
• 单位河北大学