Probability Fuzzy Attribute Implications for Interval-Valued Fuzzy Sets
نویسندگان
چکیده
Recently Burusco introduced interval-valued fuzzy formal contexts into fuzzy formal concept analysis. The most interesting work mainly including fuzzy attribute implications from fuzzy formal context, however, were presented under the framework of residuated lattice. In this paper, we first show that the study of interval-valued fuzzy set can be fitted into the framework of residuated lattice. Secondly, considering that the definition of fuzzy attribute implication in fact implies a minimal degree and thus may be impractical in some applications, we introduce probability information to fuzzy inclusion degree and then to fuzzy attribute implication, and discuss some properties of this definition. The result verifies the correctness of probability fuzzy attribute implication in some illustrations.
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