The Algebraic Properties of Linguistic Value “Truth” and Its Reasoning

  • Zheng Pei
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4529)


From logic and algebra point of view, Computing with words is discussed in this paper. By analyzing the semantically ordering relation of linguistic variable Truth, orderings on linguistic hedges H and atomic evaluating syntagm Tr = {true, false} are obtained, respectively. Let H be finite chain, then Lukasiewicz product algebra of T = H×Tr of Truth is obtained, and term-set T(X) of Truth is embedded into an algebra Γ of type Δ = { ∨ , ∧ , ′,→ L }. In some cases, Γ can be applied in linguistic decision directly, also as truth domain of logic statements. Different with other truth domain, here truth values are linguistic terms rather than numerals (or symbolic).


Fuzzy Logic Linguistic Term Algebraic Property Information Granulation Implication Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Zheng Pei
    • 1
  1. 1.School of Mathematics & Computer, Xihua University, Chengdu, Sichuan, 610039China

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