Developing Idea of Ordinal Sum of Fuzzy Implications

摘要

Fuzzy implication functions are one of the most widely studied class of operations investigated in fuzzy logic due to their importance in theory and also many different applications. One can find many different methods of obtaining new fuzzy implications. In this contribution we deal with the ordinal sums of fuzzy implications – one such method. We present some chosen aspects of the development of this idea through recent years. Two of the previously published methods are improved. New generalisations of the existing construction are also proposed.