New construction machines of generating fuzzy implications (Q2232046)

Fuzzy implications are binary functions defined on the real square and taking values on the real unit interval with certain monotonicity properties such that the input values (0,0), (1,1) and (1,0) obey the truth table of the classical logic implication. Fuzzy negations are decreasing [0,1]-valued functions from the real unit interval that generalize classical negation such that the truth table is preserved of negation is satisfied. In this paper fuzzy implications are studied. The main results concern various ways how new fuzzy implications can be defined by existing ones and what properties they possess. For the entire collection see [Zbl 1473.05003].