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By means of some auxiliary lemmas, we obtain a characterization of compactsubsets in the space of all fuzzy star-shaped numbers with Lp metric for 1≤p<∞. The result further completes and develops the previous characterization of compact subsets given by Wu and Zhao in 2008

abstract and applied analysis

A Characterization for Compact Sets in the Space of Fuzzy Star-Shaped Numbers with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math>Metric

A Characterization for Compact Sets in the Space of Fuzzy Star-Shaped Numbers withLpMetric