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• W1772233512 abstract "Abstract This paper addresses standard completeness for non-associative, non-commutative, substructural fuzzy logics and their axiomatic extensions. First, fuzzy systems, which are based on mianorms (binary monotonic identity aggregation operations on the real unit interval [ 0 , 1 ] ), their corresponding algebraic structures, and algebraic completeness results are discussed. Next, completeness with respect to algebras whose lattice reduct is [ 0 , 1 ] , so-called standard completeness, is established for these systems using construction in the style of Jenei–Montagna. Finally, some axiomatic extensions of the non-associative, non-commutative core fuzzy logics having axioms corresponding to the structural rule(s) of exchange and/or associativity are considered." @default.
• W1772233512 created "2016-06-24" @default.
• W1772233512 creator A5049620355 @default.
• W1772233512 date "2016-10-01" @default.
• W1772233512 modified "2023-09-26" @default.
• W1772233512 title "Basic substructural core fuzzy logics and their extensions: Mianorm-based logics" @default.
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• W1772233512 doi "https://doi.org/10.1016/j.fss.2015.09.007" @default.
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