A new method of generating fuzzy implications from given ones

Abstract

this paper, a new construction method of a fuzzy implication from two given ones, called e-generation method, is introduced. 周is method allo睳 to con- trol, up to a certain level, the increasingness on the second variable of the fuzzy implication through an adequate scaling on that variable of the two given implications. 周e natural propagation of the most usual properties of fuzzy implications from the ini- tial ones to the constructed implication is studied. Unlike majority of existing construction methods of fuzzy implications, this model preserves the ex- change principle, even the law of importation, under certain conditions.