PROCEEDINGS IPMU '08


On the distributivity of implication operations over t-representable t-norms generated from strict t-norms in Atanassovís 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 Atanassovís intuitionistic fuzzy sets theory. In particular, some solutions which are implication operations are presented.

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