Operators on Pavelka's algebras induced by fuzzy relations

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• 作者：Michal Botur ; ¹ ; ^{michal.botur@upol.cz" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Galois connection ; Fuzzy relation ; Tense operators ; Monadic operators ; Residuated lattice ; Pavelka's algebra
• 刊名：Fuzzy Sets and Systems
• 出版年：2016
• 出版时间：15 November 2016
• 年：2016
• 卷：303
• 期：Complete
• 页码：38-55
• 全文大小：431 K

文摘

The theory of operators generated by binary fuzzy relations is quickly growing due its fundamental nature and potential applicability. The main goal of the paper is to present several representation theorems for operators induced by fuzzy relations on Pavelka's algebras (for example closure operators used in formal concept analysis, monadic operators or tense operators). Consequently we establish algebraic models with their semantics which are usable in the non-classical logic research and in the computer science research.