-fuzzy topologies on algebraic structures |
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| Authors: | Ulrich Höhle |
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| Institution: | Fachbereich Mathematik, Universität-Gesamthochschule Wuppertal, Gauβstraβe 20, D-5600 Wuppertal 1, Federal Republic of Germany |
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| Abstract: | Considering complete Boolean algebras as sets of truth values the structure of a fuzzy topological group, fuzzy topological ring, etc., is specified. The probabilistic completion of ordinary topological algebraic structures shows the applicability of these concepts to the theory of stochastic processes, e.g., a new definition of the stochastic integral is presented in Section 5. |
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