Solutions to the functional equation I(x, y) = I(x, I(x, y)) for three types of fuzzy implications derived from uninorms

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• 作者：Aifang Xie^a ;   ; ^{xieaifangjx@163.com} ; Huawen Liu^a ;   ; ^{hw.liu@sdu.edu.cn} ; Feng Qin^b ; Zilin Zeng^c
• 关键词：Uninorms ; (U ; N)-implications ; RU-implications ; QLU-implications ; Iterative Boolean-like laws
• 刊名：Information Sciences
• 出版年：2012
• 出版时间：1 March 2012
• 年：2012
• 卷：186
• 期：1
• 页码：209-221
• 全文大小：271 K

文摘

This paper investigates an iterative Boolean-like law with fuzzy implications derived from uninorms. More precisely, we characterize the solutions to the functional equation I(x, y) = I(x, I(x, y)) that involve RU-, (U, N)- and QLU-implications generated by the most usual classes of uninorms.