System of Spheres-based Multiple Contractions |
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| Authors: | Eduardo Fermé Maurício D. L. Reis |
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| Affiliation: | 1. Madeira Interactive Technologies Institute, Universidade da Madeira, Funchal, Portugal
2. Centro de Ci??ncias Exactas e da Engenharia, Universidade da Madeira, Funchal, Portugal
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| Abstract: | We propose a new class of multiple contraction operations — the system of spheres-based multiple contractions — which are a generalization of Grove’s system of spheres-based (singleton) contractions to the case of contractions by (possibly non-singleton) sets of sentences. Furthermore, we show that this new class of functions is a subclass of the class of the partial meet multiple contractions. |
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