PROCEEDINGS IPMU '08

On the distributivity of implication operations over t-representable t-norms generated from strict t-norms in Atanassov’s intuitionistic fuzzy sets theory

Michal Baczynski

Recently, many papers have appeared
dealing with the distributivity
of fuzzy implications over t-norms,
t-conorms and uninorms (see
[3, 19, 4, 6, 16, 17, 5]). These
equations have a very important
role to play in efficient inferencing
in approximate reasoning, especially
fuzzy control systems (see [7]). In
this work we discuss distributivity of
functions over some t-representable
t-norms in Atanassov’s intuitionistic
fuzzy sets theory. In particular,
some solutions which are implication
operations are presented.

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