标题：A new class of fuzzy implications derived from generalized h-generators
作者机构：[Liu, HW]Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
通讯作者地址：[Liu, HW]Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
来源：FUZZY SETS AND SYSTEMS
关键词：Fuzzy connectives; Fuzzy implications; Law of importation; Contraction; law; Distributivity of fuzzy implications
摘要：A new class of fuzzy implications, called (h, min)-implications, is introduced by means of generalized h-generators. Basic properties of these implications are discussed. It is shown that the (h, min)-implications are really a new class different from the known (S,N)-, R-, QL- and Yager's f- and g-implications. Generalizations of three classical logic tautologies with implications, viz., law of importation, contraction law and distributivity over triangular norms (t-norms) and triangular conorms (t-conorms) are investigated. A series of necessary and sufficient conditions are established, under which the corresponding functional equations are satisfied. (C) 2012 Elsevier B.V. All rights reserved.