Abstract
The Left Recursive Form of the Convex Combination (CONV–LRF) is a linguistic aggregation operator which has been recently proposed in the framework of fuzzy ontology learning. The objective of this paper is to study some properties of the operator, namely commutativity, smoothness, internality, monotonicity, and orness. Our results show that, contrary to what preliminary experiments suggested, CONV–LRF has a similar orness that the Right Recursive Form (CONV–RRF).
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Notes
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CONV–LRF, CONV–RRF, CONV–RRF, LOWA–RRF, WMEAN, and FOWA.
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Acknowledgments
I. Huitzil was supported by the Italian MUR under the PRIN project PINPOINT Prot. 2020FNEB27, CUP H45E21000210001. F. Bobillo was supported by the I+D+i project PID2020-113903RB-I00, funded by MCIN/AEI/10.13039/501100011033, and by DGA/FEDER. We are also grateful to Carlos Bobed and Jordi Bernad for their help to improve data visualization.
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Huitzil, I., Bobillo, F. (2023). Some Properties of the Left Recursive Form of the Convex Combination Linguistic Aggregator. In: Larsen, H.L., Martin-Bautista, M.J., Ruiz, M.D., Andreasen, T., Bordogna, G., De Tré, G. (eds) Flexible Query Answering Systems. FQAS 2023. Lecture Notes in Computer Science(), vol 14113. Springer, Cham. https://doi.org/10.1007/978-3-031-42935-4_5
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