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Article Dans Une Revue IEEE Transactions on Fuzzy Systems Année : 2018

Min and Max Operators for Gradual Intervals

Résumé

This paper presents a new and a more general formulation of the min and max operations for gradual intervals, initially proposed for the special case of triangular fuzzy intervals. Gradual intervals generalize the conventional interval representation by increasing its specificity, thereby making it possible to represent the imprecision and the uncertainty via the notion of gradualness. In this context, a new interpretation of fuzzy intervals through the notion of gradual intervals is developed. The originality of the proposed methodology lies in the extension of inter-interval relations to the gradual case according to midpoint– radius representation.
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Dates et versions

hal-01806531 , version 1 (03-06-2018)

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Reda Boukezzoula, Sylvie Galichet, Laurent Foulloy. Min and Max Operators for Gradual Intervals. IEEE Transactions on Fuzzy Systems, 2018, 26 (6), pp.3569 - 3578. ⟨10.1109/TFUZZ.2018.2837651⟩. ⟨hal-01806531⟩
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