标题:A new class of fuzzy implications derived from generalized h-generators
作者:Liu, Hua-Wen
作者机构:[Liu, HW]Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
通讯作者:Liu, HW
通讯作者地址:[Liu, HW]Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
来源:FUZZY SETS AND SYSTEMS
出版年:2013
卷:224
页码:63-92
DOI:10.1016/j.fss.2012.11.022
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.
收录类别:EI;SCOPUS;SCIE
WOS核心被引频次:8
Scopus被引频次:8
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84877721290&doi=10.1016%2fj.fss.2012.11.022&partnerID=40&md5=691793f08fd3eb40eb28d5419ecdedc5
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