A class of fuzzy implications obtained from triples of fuzzy implications

摘要

The aim of this work is to study the class I(U) of fuzzy implications obtained by a triple (I, I, I) of fuzzy implications. Thus, this paper discusses under which conditions such functions preserve the main properties of fuzzy implications. In addition, by conjugate fuzzy implications it is shown that an I(U) fuzzy implication can be preserved by action of an order automorphism. Finally, we introduce the family I(U) of fuzzy implications obtained by taking the extended classes of I-implications verifying both generalized properties, exchange principle and distributivity in addition to, their dual construction is also considered.