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- W62501918 abstract "AbstractIn this paper, a reflexive transformation ϕ on F(S) in the logic system L* is proposed, which is an automorphism of F(S). It is proved that the concepts of truth degree, similarity degree and pseudo-distance are remain under the reflexive transformation ϕ. Moreover, three different approximate reasoning patterns are introduced in the system L*, and it is also proved that for any A ∈ F(S) and Γ ⊂ F(S), A is an approximate conclusion of Γ if and only if ϕ(A) is an approximate conclusion of ϕ(Γ) in the sense of any one of the three patterns. Finally, the properties of reflexive transformation are investigated and relation of fixed points in classical logic system L and those in L* are studied.KeywordsLogic system L*reflexive transformationpseudo-distanceapproximate reasoningfixed point" @default.
- W62501918 created "2016-06-24" @default.
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- W62501918 date "2010-01-01" @default.
- W62501918 modified "2023-10-17" @default.
- W62501918 title "Reflexive Transformation in L *-Logic Metric Space" @default.
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- W62501918 doi "https://doi.org/10.1007/978-3-642-15660-1_11" @default.
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