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Linguistic Truth Values Lattice Implication Algebras
Authors:PAN Xiao-dong  XU Yang
Affiliation:Department of Mathematics, Southwest Jiaotong University, Chengdu 610031
Abstract:In order to study uncertainty reasoning and automatic reasoning with linguistic terms, in this paper, the set of basic linguistic truth values and the set of modifiers are defined, according to common sense; partially orderings are defined on them. Based on it, a lattice implication algebra model L18 of linguistic terms is built; furthermore, its some basic properties are discussed.
Keywords:linguistic truth value  linguistic variable  computing with words  lattice implication algebra  Subalgebra
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