An Interval Linguistic Distribution Model for Multiple Attribute Decision Making Problems with Incomplete Linguistic Information
An Interval Linguistic Distribution Model for Multiple Attribute Decision Making Problems with Incomplete Linguistic Information
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DOI：
10.4018/ijkss.2015100102
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发表时间：
2015-10
期刊：
影响因子：
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通讯作者：
Wen-Tao Guo;V. Huynh;Y. Nakamori
中科院分区：
文献类型：
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作者：
Wen-Tao Guo;V. Huynh;Y. Nakamori
针对语言信息不完全的多属性决策问题，提出了一种区间语言分布模型，该模型以区间作为评价者的置信水平，表示评价者对语言项与评价结果相符合的置信度。该模型通过引入忽略信息的程度，可以处理不完整的语言评估，从而使评估者避免在无法提供完整评估时必须提供完整评估的困境。此外，不确定的主观判断的属性的替代品表示为分布的语言术语集作为评估工具，在这个模型中。这一特征可以作为评价者处理不确定信息的一种度量。为了解决区间语言分布的集结和排序问题，引入了集结算子和期望效用。最后，通过一个实例对模型进行了说明.
In this paper, the authors propose an interval linguistic distribution model for multiple attribute decision making MADM problems with incomplete linguistic information, in which they use intervals as evaluators' confidence levels indicating their belief degrees that a linguistic term fits an evaluation. By introducing the extent of ignoring information into this model, it can deal with incomplete linguistic assessments and then allow evaluators to avoid the dilemma that they have to supply complete assessments when not available. In addition, the uncertain subjective judgments on attributes of alternatives are represented as distributions on the linguistic term set used as an instrument for assessment in this model. This feature can be regarded as a measure for evaluators to handle uncertain information. The aggregation operators and expected utilities are also introduced for the purpose of aggregation and ranking problems of interval linguistic distributions. Finally, an example is used to illuminate the proposed model.