PROCEEDINGS IPMU '08
On the distributivity of fuzzy implications over representable uninorms
Michal Baczynski, Balasubramaniam Jayaram.
Recently, many works have appeared
dealing with the distributivity of
fuzzy implications over t-norms, tconorms
and uninorms (see [2, 3,
4, 5, 12, 13, 14]). These equations
have a very important role to play in
efficient inferencing in approximate
reasoning, especially fuzzy control
systems (see ). In this work we
present some results connected with
two functional equations describing
the distributivity of fuzzy implications
over representable uninorms.
Toward this end, some new solutions
of the additive Cauchy functional
equation on the set [-∞,∞]
has been obtained.
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