On a Graded Modal Logic Approach to Reason with Fuzzy Preferences

0504823 - ÚI 2020 RIV NL eng C - Conference Paper (international conference)
Esteva, F. - Godo, L. - Vidal, Amanda
On a Graded Modal Logic Approach to Reason with Fuzzy Preferences.
Recent Advances in Artificial Intelligence Research and Development. Amsterdam: IOS Press, 2017 - (Aguiló, I.; Alquézar, R.; Angulo, C.; Ortiz, A.; Torrens, J.), s. 86-95. Frontiers in Artificial Intelligence and Applications, 300. ISBN 978-1-61499-806-8.
[CCIA 2017. International Conference of the Catalan Association for Artificial Intelligence /20./. Deltebre (ES), 25.10.2017-27.10.2017]
R&D Projects: GA ČR GA17-04630S
Institutional support: RVO:67985807
Keywords : preference structures * fuzzy preorder * strict fuzzy order * preference two-tiered modal logic
OECD category: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

In this paper we first consider the problem of extending a fuzzy preference relation on a set, represented by a fuzzy preorder, to a fuzzy preference relation on subsets, and we characterise different possibilities. Based on their properties, we then semantically define and axiomatize a two-tiered graded modal logic to reason about a notion of fuzzy preferences.
Permanent Link: http://hdl.handle.net/11104/0296382