Compactness properties in the fuzzy real line |
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| Authors: | R Lowen |
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| Institution: | Dienst Wiskundige Analyse, University of Antwerp, R.U.C.A., Antwerp, Belgium |
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| Abstract: | It is the purpose of this paper to give the solution to a number of open questions in 14], concerning the compactness properties of the fuzzy real line and the fuzzy real unit interval.However using the model of the fuzzy real line which we already proposed in 9, 12] we are able to describe all compactness properties not only of the spaces mentioned above but actually of several large classes of subspaces of the fuzzy real line; and thus the answers to the questions in 14] follow as easy consequences of our general results. |
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| Keywords: | Fuzzy real line Probability measures Tightness Weak topology |
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