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A Boolean Lattice Based Improved Fuzzy Description Logic in Web Computing

Contrasting to Description Logics (DLs), there are some inherent shortcomings in classical fuzzy Description Logics (FDLs). For example, they no longer satisfy the complementary laws. In this paper, to analyze these shortcomings derived from Zadeh semantics, an improved fuzzy set definition using Boolean lattices is approached, whereas, the analogous definition of Zadeh Fuzzy Set can only use a distributive lattice. Therefore, an improved FDL in Web Computing Environment, using Boolean lattices rather than the interval [0,1] to represent fuzziness, is constructed. Finally, some probable extensions of the chosen lattice are discussed.