@inproceedings{ce861909640449feb2055aa55d7faefc,
title = "A Lattice Structure for the Set of Interval-Valued Fuzzy-Qualitative Labels",
abstract = "Order-of-magnitude models in qualitative reasoning are basic theoretical tools to model real-world problems in which only incomplete qualitative knowledge is available. In this paper, we introduce interval-valued fuzzy sets into order-of-magnitude qualitative reasoning, generalizing the order-of-magnitude spaces of both qualitative labels and fuzzy-qualitative labels. We present a new lattice structure of linguistic descriptions in an interval-valued fuzzy framework, and introduce the interval-valued fuzzy-qualitative labels as interval-valued fuzzy sets with certain requirements. We define two operations related to the inclusion in the set of interval-valued fuzzy-qualitative labels. The set of interval-valued fuzzy-qualitative labels is structured as a lattice with these two operations.",
keywords = "entropy, interval-valued fuzzy set, lattice, qualitative reasoning",
author = "Francesc Prats and M{\'o}nica S{\'a}nchez and N. Agell",
note = "Funding Information: This research was supported partly by the INVITE research project (TIN2016-80049-C2-1-R and TIN2016-80049-C2-2-R), funded by the Spanish Ministry of Economy and Competitiveness. Publisher Copyright: {\textcopyright} 2018 The authors and IOS Press.",
year = "2018",
doi = "10.3233/978-1-61499-918-8-47",
language = "English",
isbn = "9781614999171",
series = "Frontiers in Artificial Intelligence and Applications",
publisher = "IOS Press",
pages = "47--56",
editor = "Zoe Falomir and Enric Plaza and Karina Gibert",
booktitle = "Artificial Intelligence Research and Development",
address = "Netherlands",
}