Graded cube of opposition with intermediate quantifiers in fuzzy natural logic. (English) Zbl 1512.03052
Lesot, Marie-Jeanne (ed.) et al., Information processing and management of uncertainty in knowledge-based systems. 18th International Conference, IPMU 2020, Lisbon, Portugal, June 15–19, 2020. Proceedings, Part III. Cham: Springer. Commun. Comput. Inf. Sci. 1239, 145-158 (2020).
Summary: In our previous papers, we formally analyzed the generalized Aristotle’s square of opposition using tools of higher-order fuzzy logic. Namely, we introduced general definitions of selected intermediate quantifiers, constructed a generalized square of opposition consisting of them and syntactically analyzed the emerged properties. The main objective of this paper is to extend the graded Peterson’s square of opposition into the graded cube of opposition with intermediate quantifiers.
For the entire collection see [Zbl 1481.68017].
For the entire collection see [Zbl 1481.68017].
MSC:
| 03B52 | Fuzzy logic; logic of vagueness |
