The standard completeness of interval-valued monoidal t-norm based logic

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The standard completeness of interval-valued monoidal t-norm based logic

In this paper we prove the strong standard completeness of interval-valued monoidal t-norm based logic (IVMTL) and some of its extensions. For other extensions we show that they are not strong standard complete. We also give a local deduction theorem for IVMTL and other extensions of interval-valued monoidal logic. Similar results are obtained for interval-valued fuzzy logics expanded with Baaz...

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ژورنال

عنوان ژورنال: Information Sciences

سال: 2012

ISSN: 0020-0255

DOI: 10.1016/j.ins.2011.11.043