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Some fuzzy measure modeled multi-criteria formulations
International Journal of General Systems ( IF 2 ) Pub Date : 2020-02-17 , DOI: 10.1080/03081079.2020.1713115
Ronald R. Yager 1
Affiliation  

ABSTRACT We first describe an approach to multi-criteria making which makes use of a fuzzy measure over the set of criteria to model the user expressed relationship between the criteria. Under this approach we use the Choquet integral, guided by this fuzzy measure, to aggregate an alternative’s satisfactions to the individual criteria. Our focus in this paper is to look at the formulation, in terms of fuzzy measures, of some interesting and novel relationships between the criteria. After noting that the OWA aggregation can be modeled using a cardinality measure we look at the measure formulation of a rule-based expression of a collection of OWA aggregations. We then focus on the measure representation of a user provided well-formed formula in the language of propositional logic expressed relationship between the criteria.

中文翻译:

一些模糊测量建模多标准公式

摘要我们首先描述了一种多标准制作方法,该方法利用对标准集的模糊度量来对用户表达的标准之间的关系进行建模。在这种方法下,我们使用 Choquet 积分,在此模糊度量的指导下,将替代方案的满意度汇总到各个标准。我们在本文中的重点是在模糊度量方面研究标准之间一些有趣和新颖的关系的公式。在注意到可以使用基数度量对 OWA 聚合进行建模之后,我们查看基于规则的 OWA 聚合集合的表达式的度量公式。然后我们专注于度量表示一个用户提供的格式良好的公式,用命题逻辑语言表达标准之间的关系。
更新日期:2020-02-17
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