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When X is not necessarily a polytope in the problem, an inner approximation method using penalty functions has been proposed by Yamada, Tanino and Inuiguchi [9]. In this paper, we show that there exists an exact penalty parameter of the proposed algorithm.", "subitem_description_type": "Abstract"}, {"subitem_description": "\u672c\u7814\u7a76\u3067\u306f, \u30b3\u30f3\u30d1\u30af\u30c8\u306a\u51f8\u96c6\u5408\u306e\u88dc\u96c6\u5408\u3092\u5236\u7d04\u306b\u6301\u3064\u9006\u51f8\u8a08\u753b\u554f\u984c\u306b\u3064\u3044\u3066\u8003\u5bdf\u3059\u308b\u3002\u96c6\u5408X\u304c\u51f8\u591a\u9762\u4f53\u3067\u306a\u3044\u5834\u5408\u306e\u9006\u51f8\u8a08\u753b\u554f\u984c\u306b\u5bfe\u3057\u3066, \u5185\u90e8\u8fd1\u4f3c\u6cd5\u306b\u57fa\u3065\u304f\u9010\u6b21\u8fd1\u4f3c\u89e3\u6cd5\u304c Yamada, Tanino and Inuiguchi [9] \u306b\u3088\u3063\u3066\u63d0\u6848\u3055\u308c\u3066\u3044\u308b\u3002\u672c\u7814\u7a76\u3067\u306f, 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