Recently, many works have appeared dealing with the distributivity of fuzzy implications over t-norms, tconorms and uninorms (see [2, 3, 4, 5, 12, 13, 14]). These equations have a...
In this paper, we attempt a systematic study of QL-implications. Towards this end, firstly, we investigate the conditions under which a QL-operation becomes a fuzzy implication w...
In order to obtain a demanded fuzzy implication, a number of properties have been proposed, among which the first place antitonicity, the second place monotonicity and the boundar...
Yun Shi, Bart Van Gasse, Da Ruan, Etienne E. Kerre
In this work we give a state-of-the-art review of two of the most established classes of fuzzy implications, viz., (S, N)- and R-implications. Firstly, we discuss their properties...
In this work, our primary focus is to determine the intersections that exist between the family of QL-implications and the families of (S, N)- and R-implications. Toward this end,...
Recently, the distributivity of fuzzy implications over t-norms, t-conorms and uninorms was studied in many articles. In this paper we characterize functions which satisfy one of ...