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中文摘要：
作为集合凸性概念的一种推广以及统一凸性与近似（nearly）凸性等概念的一种尝试,本文引入集合？-凸性的概念,并对？-凸集合的性质进行初步的研究.另外,本文还研究了一些常见变换与集合运算的保？-凸性质.
英文摘要：
In this paper, the concept of Ω-convexity of sets in linear spaces is introduced as a generalization of the classical convexity and as an attempt to give a uniform treatment of the classical convexity and the near-convexity etc. The basic properties of Ω-convex sets are investigated and some operators/compositions on sets, which preserve the Ω-convexity of sets, are studied.
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