Minimal solutions of general fuzzy relation equations on linear carriers. An algebraic characterization

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• 作者：Juan Carlos D&iacute ; az-Moreno^a ; ^{juancarlos.diaz@uca.es} ; Jes&uacute ; s Medina^a ; ^{jesus.medina@uca.es} ; Esko Turunen^b ; ^{esko.turunen@tut.fi}
• 关键词：Fuzzy relation equations ; Minimal solutions ; Residual structures
• 刊名：Fuzzy Sets and Systems
• 出版年：2017
• 出版时间：15 March 2017
• 年：2017
• 卷：311
• 期：Complete
• 页码：112-123
• 全文大小：301 K
• 卷排序：311

文摘

This paper considers a general fuzzy relation equation, which has minimal solutions, if it is solvable. In this case, an algebraic characterization is introduced which provides an interesting method to compute minimal solutions in this general setting. Moreover, a comparison with other frameworks is also given.