Multi-threshold Generation Method of Fuzzy Implications

Fuzzy implication, as one of the connectives of fuzzy logic, is used in application solutions using fuzzy logic, e.g. in fuzzy approximate reasoning, in which there are various inference schemes used also in many fields such as decision making, expert systems and fuzzy control. For decades, research has been conducted on generating new families of fuzzy implications that could be used in applications. In this contribution, a method of constructing fuzzy implications from given ones, which is based on a concept provided by S. Massanet and J. Torrens in 2012 called threshold generation method is proposed. Properties of a fuzzy implication created in this way, depending on the properties of its generators, are examined. Some comparisons to existing methods of construction are presented.