QL-operations and QL-implication functions constructed from tuples (O,G,N) and the generation of fuzzy subsethood and entropy measures

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• 作者：Graç ; aliz Pereira Dimuro^a ; ^d ; ^{gracaliz@furg.br} ; ^{gracaliz@gmail.com} ; Benjamí ; n Bedregal^b ; ^{bedregal@dimap.ufrn.br} ; Humberto Bustince^c ; ^d ; ^{bustince@unavarra.es} ; Aranzazu Jurio^c ; ^{aranzazu.jurio@unavarra.es} ; Michał Baczyński^e ; ^{michal.baczynski@us.edu.pl} ; Katarzyna Miś^e ; ^{kmis@us.edu.pl}
• 关键词：Overlap function ; Grouping function ; QL-operation ; QL-implication function ; Fuzzy subsethood measure ; Entropy measure
• 刊名：International Journal of Approximate Reasoning
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：82
• 期：Complete
• 页码：170-192
• 全文大小：599 K
• 卷排序：82

文摘

The notion of QL-operations constructed from overlap and grouping functions is introduced and their properties are studied. The conditions under which QL-operations are QL-implications functions are analyzed. We show that those QL-implication functions are richer than QL-implications derived from t-norms and positive t-conorms. The intersection among QL-implication functions and other classes of fuzzy implication functions constructed from overlap and grouping functions is provided. We present an application to the generation of fuzzy subsethood and derived entropy measures.