Implications Generated by Triples of Monotone Functions

In this paper we deal with fuzzy implications generated via triples of monotone functions f,g,h. This idea has been presented for the first time at the IPMU 2012 conference, where we have introduced the generating formula and studied some special cases of these fuzzy implications. In our contribution we further develop this concept and study properties of generated fuzzy implications. More precisely,we study how some specific properties of generators f,g,h influence properties of the corresponding fuzzy implications.

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