Analytic fuzzy tableaux

被引:3
|
作者
L. Di Lascio
机构
[1] DMI – Dipartimento di Matematica ed Informatica,
[2] Università di Salerno,undefined
[3] via S. Allende,undefined
[4] 64,undefined
[5] 84081 Baronissi,undefined
[6] SA,undefined
[7] Italy E-mail: dilascio@unisa.it,undefined
关键词
Keywords Tableaux, Completeness, Soundness, Fuzzy logic, Fuzzy deductive systems, Decidability;
D O I
10.1007/s005000100127
中图分类号
学科分类号
摘要
 In this paper Beth–Smullyan's tableaux method is extended to the fuzzy propositional logic. The fuzzy tableaux method is based on the concepts of t-truth and extended graded formula. As in classical logic, it is a refutation procedure. A closed fuzzy tableau beginning with the extended graded formula [r, A] asserting that this is not t-true, is a tableau proof of the graded formula (A, r). The theorems of soundness, completeness, and decidability are proved.
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页码:434 / 439
页数:5
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