Revistes Catalanes amb Accés Obert (RACO)

On the identity of fuzzy material conditionals

Enric Trillas i Gay, Susana Cubillo Villanueva, Adolfo Rodríguez De Soto

Resum


Given $\mu , \; \eta :X \rightarrow [0,1]$ we study when the equality $I_{\mu
}^{T}=I_{\eta }^{T}$ holds, $T$ being a continuous t-norm, and
$I_{\theta }^{T}$ the elemental preorder:\\
\[ I_{\theta }^{T}(y/x) = sup \{z\; ; \; T(\theta (x),z)\leq \theta (y) \}.
\]

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