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Entropy and monotonicity in artificial intelligence
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In: ISSN: 0888-613X ; International Journal of Approximate Reasoning ; https://hal.archives-ouvertes.fr/hal-02870542 ; International Journal of Approximate Reasoning, Elsevier, 2020, 124, pp.111-122. ⟨10.1016/j.ijar.2020.04.008⟩ (2020)
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Fuzzy modifiers at the core of interpretable fuzzy systems
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In: Fifty Years of Fuzzy Logic and its Applications ; https://hal.archives-ouvertes.fr/hal-01221751 ; Fifty Years of Fuzzy Logic and its Applications, 326, Springer, pp.51-63, 2015, Studies in Fuzziness and Soft Computing, ⟨10.1007/978-3-319-19683-1_4⟩ (2015)
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Abstract:
International audience ; Fuzzy modifiers associated with linguistic hedges have been introduced by L.A. Zadeh at the early stage of approximate reasoning and they are fundamental elements in the management of interpretable systems. They can be regarded as a solution to the construction of fuzzy sets slightly different from original ones. We first present the main definitions of modifiers based on mathematical transformations of membership functions, mainly focusing on so-called post-modifiers and pre-modifiers, as well as definitions based on fuzzy relations. We show that measures of similarity are useful to evaluate the proximity between the original fuzzy sets and their modified form and we point out links between modifiers and similarities. We then propose an overview of application domains which can take advantage of fuzzy modifiers, for instance analogy-based reasoning, rule-based systems, gradual systems, databases, machine learning, image processing, and description logic. It can be observed that fuzzy modifiers are either constructed in a prior way by means of formal definitions or automatically learnt or tuned, for instance in hybrid systems involving genetic algorithm-based methods.
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Keyword:
[INFO]Computer Science [cs]
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URL: https://doi.org/10.1007/978-3-319-19683-1_4
https://hal.archives-ouvertes.fr/hal-01221751
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Modeling and management of subjective information in a fuzzy setting
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In: ISSN: 0308-1079 ; International Journal of General Systems ; https://hal.archives-ouvertes.fr/hal-01172706 ; International Journal of General Systems, Taylor & Francis, 2013, 42 (1), pp.3-19. ⟨10.1080/03081079.2012.710435⟩ (2013)
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Fuzzy Analogical Model of Adaptation for Case-Based Reasoning
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In: IFSA-EUSFLAT 2009 ; https://hal.archives-ouvertes.fr/hal-01294688 ; IFSA-EUSFLAT 2009, Jul 2009, Lisbon, Portugal. pp.1625-1630 (2009)
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Conference on information processing and management of uncertainty
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Uncertainty and intelligent information systems
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In: https://hal.archives-ouvertes.fr/hal-01301639 ; World Scientific, 2008, 978-981-279-234-1 (2008)
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Improvement of the Interpretability of Fuzzy Rule Based Systems: Quantifiers, Similarities and Aggregators
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In: Modelling with Words ; https://hal.archives-ouvertes.fr/hal-01533257 ; Modelling with Words, 2873, Springer, pp.102-123, 2003, Lecture Notes in Artificial Intelligence, ⟨10.1007/978-3-540-39906-3_6⟩ (2003)
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| 8 |
Improving the interpretability of fuzzy models by means of linguistic modifiers
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In: FSTA 2002 - International Conference on Fuzzy Sets Theory and Its Applications ; https://hal.archives-ouvertes.fr/hal-01544215 ; FSTA 2002 - International Conference on Fuzzy Sets Theory and Its Applications, 2002, Liptovsky Mikulas, Slovakia (2002)
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Linguistic modifiers and measures of similarity or resemblance
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In: 9th IFSA World Congress ; https://hal.archives-ouvertes.fr/hal-01570839 ; 9th IFSA World Congress, Jul 2001, Vancouver, Canada. pp.2195-2199, ⟨10.1109/NAFIPS.2001.944410⟩ (2001)
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