A Lattice Structure for the Set of Interval-Valued Fuzzy-Qualitative Labels

Francesc Prats, Mónica Sánchez, Núria Agell

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Resum

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.

Idioma originalAnglès
Títol de la publicacióArtificial Intelligence Research and Development
Subtítol de la publicacióCurrent Challenges, New Trends and Applications
EditorsZoe Falomir, Enric Plaza, Karina Gibert
EditorIOS Press
Pàgines47-56
Nombre de pàgines10
ISBN (imprès)9781614999171
DOIs
Estat de la publicacióPublicada - 2018
Publicat externament

Sèrie de publicacions

NomFrontiers in Artificial Intelligence and Applications
Volum308
ISSN (imprès)0922-6389

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