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Disturbing Fuzzy Propositional Logic And Its Generalized Tautology

Posted on:2004-11-22Degree:MasterType:Thesis
Country:ChinaCandidate:Y HanFull Text:PDF
GTID:2120360122971841Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
This article puts forward the concept of Disturbing Fuzzy Proposition, define the operation of Disturbing Fuzzy Propositional Logic. Firstly, on the basis of implication, originating from the limited Disturbing Fuzzy Propositional Logic, discusses its logic algebra and the properties of its generalized tautology. Secondly by modifying the implication intoimplication, finds the largest Sub-algebra in Disturbing Fuzzy Propositional Logic and extends Professor Wang Guo-jun's generalized tautological theory on to , then discusses the properties and classifications of the generalized tautology and gets the results which are similar to the Professor Wang's. At last by giving the concept of the part-valued Disturbing Fuzzy Propositional Logic and discusses the ascent algorithm in it, proves the indication theorem of generalized tautology in the part-valued Disturbing Fuzzy Propositional Logic. This indicates: We can generalize Professor Wang Guo-jun's theory of tautology about one-dimensional evaluation lattice to two-dimensional evaluation lattice by adding some restriction condition, and the condition has obvious reality background, thus , the restriction is necessary and indispensable.
Keywords/Search Tags:Fuzzy Propositional Logic, Disturbing Fuzzy Propositional Logic, Generalized Tautology, Indication Theorem of Generalized Tautology
PDF Full Text Request
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