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    Please use this identifier to cite or link to this item: http://asiair.asia.edu.tw/ir/handle/310904400/16629

    Title: Signed Extensional L-Measure Based on Signed Monotonicity
    Authors: 劉湘川;Liu, Hsiang-Chuan
    Contributors: 生物與醫學資訊學系
    Date: 2010
    Issue Date: 2012-11-23 17:15:16 (UTC+8)
    Abstract: A signed measure satisfied revised monotonicity is called a signed fuzzy measure, in author's previous work, a generalization of revised monotonicity, called signed monotonicity, was proposed, a signed measure satisfied signed monotonicity, called a generalized signed fuzzy measure, was also proposed. It was proved that this new kind of measure is a generalization of not only the non-negative fuzzy measure but also the signed fuzzy measure, moreover, a new generalized signed fuzzy measure based on Sugeno's Lambda-measure, called signed Lambda-measure is also proposed, however, it is a univalent measure with only one signed fuzzy measure solution. In this paper, a multivalent generalized signed fuzzy measure with infinitely many signed fuzzy measure solutions, called signed extensional L-measure, is proposed, it is proved that both of the well-known signed additive measure and signed Lambda-measure are special cases of this new measure, therefore, this new measure must be more useful than signed additive measure and signed Lambda-measure for using to analysis multi-criteria decision making problem, since the multi-criteria decision making problem always needs to consider using some signed fuzzy measures. Some related properties are also discussed
    Relation: 2010 international conference on frontiers of manufacturing and design science
    Appears in Collections:[生物資訊與醫學工程學系 ] 期刊論文

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