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On the Paradoxical Success of Mamdani's Minimum-Based Inference
[chapter]
<span title="">2012</span>
<i title="Springer Berlin Heidelberg">
<a target="_blank" rel="noopener" href="https://fatcat.wiki/container/yyucbg6w6bhgfejbzekrytd7da" style="color: black;">Studies in Fuzziness and Soft Computing</a>
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Mamdani's inference has an incredible success, especially in areas such as decision making and control. Yet, it is well known that it uses a min-based implication that does not verify classical boolean logic requirements. This contribution aims at, in the one hand, exploring Mamdani's choice from a practical point of view, and in the other hand, explaining the success of Mamdani's inference from a logical perspective, by introducing a simple variant of the Generalized Modus Ponens (GMP) that
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... s standard fuzzy implications. In addition, this new formulation opens the way for new methods of inference that have the same benefits as Mamdani's.
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