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• W2319525845 abstract "<p>Fuzzy (S,N)- and <span style=text-decoration: underline;>QL</span>-<span style=text-decoration: underline;>subimplication</span> classes can be obtained by a distributive n-<span style=text-decoration: underline;>ry</span> aggregation performed over the families of t-<span style=text-decoration: underline;>subnorms</span> and t-<span style=text-decoration: underline;>subconorms</span> along with a fuzzy negation. Since these classes of <span style=text-decoration: underline;>subimplications</span> are explicitly represented by t-<span style=text-decoration: underline;>subconorms</span> and t-<span style=text-decoration: underline;>subnorms</span> verifying the generalized associativity, the corresponding (S,N)- and <span style=text-decoration: underline;>QL</span>-<span style=text-decoration: underline;>subimplications</span>, referred as I(S,N) and I_(S,T,N), are characterized as distributive n-<span style=text-decoration: underline;>ary</span> aggregation together with related generalizations as the exchange and neutrality principles. Based on these results, the both subclasses I_(S,n) and I_QL of (S,N)- and <span style=text-decoration: underline;>QL</span>-<span style=text-decoration: underline;>subimplications</span> which are obtained by the median aggregation operation performed over the standard negation N_S together with the families of t-<span style=text-decoration: underline;>subnorms</span> and t-<span style=text-decoration: underline;>subconorms</span> S_P and T_P, respectively. In particular, the subclass T_P extends the product t-norm T_P as well as S_P extends the algebraic sum S_P. As the main results, the family of <span style=text-decoration: underline;>subimplications</span> I_(S_P,N) and I_(S_P,T_P,N) extends the implication class by preserving the corresponding properties. We also present an extension from (S,N)- and <span style=text-decoration: underline;>QL</span>-<span style=text-decoration: underline;>subimplications</span> to (S,N)- and <span style=text-decoration: underline;>QL</span>-implications and discuss dual and conjugate constructions.</p><pre><!--EndFragment--></pre>" @default.
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• W2319525845 date "2016-01-28" @default.
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• W2319525845 title "Aggregating Fuzzy QL- and (S,N)-Subimplications: Conjugate and Dual Constructions" @default.
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• W2319525845 doi "https://doi.org/10.5540/tema.2015.016.03.0229" @default.
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