Interval-valued fuzzy coimplications and related dual interval-valued conjugate functions

作者：

Highlights：

• The notions of representability, conjugacy and duality of fuzzy connectives are discussed.

• The canonical representation of fuzzy coimplications are conceived as the dual construction of interval-valued fuzzy implications.

• The conjugate class of such representable coimplications preserves the corresponding main properties of interval-valued fuzzy implication class.

• Interval automorphisms acting on interval classes of border, model and S-coimplications are studied and summarized in commutative diagrams.

摘要

•The notions of representability, conjugacy and duality of fuzzy connectives are discussed.•The canonical representation of fuzzy coimplications are conceived as the dual construction of interval-valued fuzzy implications.•The conjugate class of such representable coimplications preserves the corresponding main properties of interval-valued fuzzy implication class.•Interval automorphisms acting on interval classes of border, model and S-coimplications are studied and summarized in commutative diagrams.

论文关键词：Interval-valued Fuzzy logic,Interval-valued Fuzzy coimplications,Conjugate functions

论文评审过程：Received 30 October 2010, Revised 6 February 2012, Accepted 4 April 2013, Available online 17 May 2013.

论文官网地址：https://doi.org/10.1016/j.jcss.2013.05.007