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In the present paper, as continuous work about linguistics truth-valued LIA and its properties (CESA2006), the lattice value propositional logic system whose valuation field look as linguistic truth value LIA (briefly, L-LIA) is focused. Firstly, some properties about linguistic truth value LIA are discussed. On the other hand, some concepts about linguistic truth value lattice-valued propositional logic system lP(X) is established, whose truth value domain is a linguistic truth-valued lattice implication algebra, and the semantic problems of lP(X) are investigated.

Linguistic Truth-Valued Lattice Value Propositional Logic System lP(X)