“…They are mainly used in fuzzy logic systems [7,29,32]. In the fields of decision theory [8,11,12], image processing [13], data mining [25,31], fuzzy DI-subsethood measure [5], etc., they are also used with an essential role. In view of its wide application, various fuzzy implications have been proposed up to now by many authors (see for instance, [1,2,3,9,15,23,29,30]).…”