A comparative study of adjoint triples

作者:Eugenia Cornejo M; Medina Jesus*; Ramirez Eloisa
来源:Fuzzy Sets and Systems, 2013, 211: 1-14.
DOI:10.1016/j.fss.2012.05.004

摘要

Adjoint triples are helpful as basic operators used in several domains. For example, adjoint triples play an important role in two important frameworks: multi-adjoint logic programming and multi-adjoint concept lattices. This paper shows that adjoint triples are an interesting generalization of t-norms and their residuated implications, since they preserve their main properties as well as they help to increase the flexibility of the operators used for computation in the considered framework. Furthermore, these operators will be related to other important general triples, specifically implication triples, and the definition of these latter operators will be improved.

  • 出版日期2013-1-16