In three-way decision theory, three disjoint sets covering a given universe, are determined: the positive, negative, and boundary regions. They correspond to three types of decisions on their objects: acceptance, rejection, and abstention or non-commitment. A linguistic approach for identifying the three regions relies on specific evaluative linguistic expressions, such as “very big”, “roughly small”, “not small”, “medium”, and so forth. In this article, we construct hexagons of opposition using the regions generated by different evaluative linguistic expressions. Then, we explore the logical relations between the vertices of different hexagons.
Boffa, S., Ciucci, D. (2023). Hexagons of Opposition in Linguistic Three-Way Decisions. In Rough Sets International Joint Conference, IJCRS 2023, Krakow, Poland, October 5–8, 2023, Proceedings (pp.122-136). Springer Science and Business Media Deutschland GmbH [10.1007/978-3-031-50959-9_9].
Hexagons of Opposition in Linguistic Three-Way Decisions
Boffa S.
;Ciucci D.
2023
Abstract
In three-way decision theory, three disjoint sets covering a given universe, are determined: the positive, negative, and boundary regions. They correspond to three types of decisions on their objects: acceptance, rejection, and abstention or non-commitment. A linguistic approach for identifying the three regions relies on specific evaluative linguistic expressions, such as “very big”, “roughly small”, “not small”, “medium”, and so forth. In this article, we construct hexagons of opposition using the regions generated by different evaluative linguistic expressions. Then, we explore the logical relations between the vertices of different hexagons.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
