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Rapport (Rapport Technique) Année : 2016

On the reinforcement of uninorms and absorbing norms

Résumé

Aggregation operators Reinforcement ... We propose a n-ary extension of absorbing norms, defined with the help of generative functions, and its relationship with additive generating functions of uninorms. In this paper, we also present new aggregation operators, namely the k-uninorms and k-absorbing norms. These operators are a generalization of usual uninorms and absorbing norms for which a set combination of inputs is introduced. Their main ability is to provide reinforcement for contradictory inputs, as nullnorms and as opposed to uninorms. On the other hand it still provides full reinforcement for agreeing inputs, as uninorms and as opposed to nullnorms. Numerous examples are given in order to illustrate the behavior of the proposed operators.
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Dates et versions

hal-01357234 , version 1 (29-08-2016)

Identifiants

  • HAL Id : hal-01357234 , version 1

Citer

Hoel Le Capitaine, Carl Frélicot. On the reinforcement of uninorms and absorbing norms. [Technical Report] UNIVERSITE NANTES ANGERS LE MANS. 2016. ⟨hal-01357234⟩
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