Semi-BCI Algebras
Regivan Santiago, Benjamín Bedregal, João Marcos, Carlos Caleiro and Jocivania Pinheiro
The notion of semi-BCI algebras is introduced and some of its properties are investigated. This notion is a generalization of BCI algebras, suggested by the process of intervalization of BCI algebras. Semi-BCI algebras have a similar structure to pseudo-BCI algebras, however they are not the same. In this paper we investigate the similarities between these classes of algebras by showing how they relate to the process of intervalization. (Mathematics Subject Classification: 03G25, 06F35)
Keywords: Interval-valued fuzzy logic, BCI algebras, pseudo-BCI algebras