New Results about Properties and Semantics of Fuzzy Set-Theoretic Operators

New Results about Properties and Semantics of Fuzzy Set-Theoretic Operators
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关于模糊集论算子的性质和语义的新结果

DOI:
10.1007/978-1-4684-3848-2_6
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发表时间:
1980
期刊:
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影响因子:
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通讯作者:
H. Prade
H. Prade
中科院分区:
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文献类型:
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作者:
D. Dubois;H. Prade

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这种通信是迈向模糊集合论算子通用方法的第一步,即当隶属值清晰时与集合算子一致的代数算子。研究了这种模糊集合论算子的子类的一些性质。给出了具体例子。建议尝试讨论这些运算符的可能解释。在给定的实际情况下,选择一个好的算子对于决策分析、信息检索、聚合多条信息的模式识别至关重要。
This communication is a first step towards a general approach to fuzzy set-theoretic operators, i.e. algebraic operators which coincide with set-operators when membership values are crisp. Some properties of subclasses of such fuzzy set-theoretic operators are investigated. Specific examples are given. An attempt to discuss a possible interpretation of these operators is proposed. The choice of a good operator in a given practical situation can be crucial in decision analysis, information retrieval, pattern recognition for the purpose of aggregating several pieces of information.