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Adjusting the Core and/or the Support of a Fuzzy Set – A New Approach to Fuzzy Modifiers

Abstract : Fuzzy modifiers are unary operators on fuzzy sets aiming at transforming a fuzzy set into another. In this paper, we propose a new approach to construct representation for fuzzy modifiers. The approach relies on a tolerance relation modeled by a suitable parameterized proximity relation. The newly introduced fuzzy modifiers are not only endowed with clear semantics, but they result in significant changes on the constituent parts of a fuzzy set. We also show how this class of fuzzy modifiers can be applied for modeling weakening and intensifying linguistic hedges.
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https://hal.archives-ouvertes.fr/hal-03358863
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Submitted on : Wednesday, September 29, 2021 - 4:24:27 PM
Last modification on : Monday, July 4, 2022 - 8:49:52 AM

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Patrick Bosc, Didier Dubois, Allel Hadj Ali, Olivier Pivert, Henri Prade. Adjusting the Core and/or the Support of a Fuzzy Set – A New Approach to Fuzzy Modifiers. IEEE International Conference on Fuzzy Systems ((FUZZ-IEEE 2007), Jul 2007, London, United Kingdom. pp.1667-1672, ⟨10.1109/FUZZY.2007.4295617⟩. ⟨hal-03358863⟩

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