A flexible logic-based approach to closeness using order of magnitude qualitative reasoning

Autor: Emilio Muñoz-Velasco, Manuel Ojeda-Aciego, Alfredo Burrieza
Rok vydání: 2019
Předmět:
Zdroj: Logic Journal of the IGPL. 28:121-133
ISSN: 1368-9894
1367-0751
DOI: 10.1093/jigpal/jzz076
Popis: In this paper, we focus on a logical approach to the important notion of closeness, which has not received much attention in the literature. Our notion of closeness is based on the so-called proximity intervals, which will be used to decide the elements that are close to each other. Some of the intuitions of this definition are explained on the basis of examples. We prove the decidability of the recently introduced multimodal logic for closeness and, then, we show some capabilities of the logic with respect to expressivity in order to denote particular positions of the proximity intervals.
Databáze: OpenAIRE