一个新的区间值直觉模糊熵
A New Entropy for Interval-Valued Intuitionistic Fuzzy Set
DOI: 10.12677/ORF.2024.141070, PDF,  被引量   
作者: 伍淼锋, 陈子春, 袁家琪：西华大学理学院，四川 成都
关键词: 区间值直觉模糊集；熵；Interval-Valued Intuitionistic Fuzzy Set； Entropy
摘要: 区间值直觉模糊集能够很好的描述不确定性问题，被广泛的应用于决策问题。区间值直觉模糊熵是区间值直觉模糊集理论中的一个重要工具，一方面可以度量一个模糊集的模糊程度，另一方面在决策问题中可以用来确定属性权重，或者直接进行决策。现存的区间值直觉模糊熵存在一些缺陷，有的出现了违反直觉的情况，有的只满足某些特定的公理化要求，有的形式太过复杂。为了克服现存的区间值直觉模糊熵的缺陷，本文提出了一个新的区间值直觉模糊熵，证明其满足了公理化定义并得到了一些推论。最后通过实例与一些现存的区间值直觉模糊熵进行比较，说明了新的区间值直觉模糊熵在应用方面的有效性和优越性。
Abstract: Interval-valued intuitionistic fuzzy set can describe the uncertainty problem well and is widely used in decision-making problems. Interval intuitionistic fuzzy entropy is an important tool in the theory of interval intuitionistic fuzzy sets, which can measure the degree of ambiguity of a fuzzy set, and can be used to determine attribute weights or make decisions directly in decision-making problems. The existing interval-valued intuitionistic fuzzy entropy has some defects, some of which are counterintuitive, some of which only meet certain axiomatic requirements, and some of which are too complex. In order to overcome the shortcomings of the existing interval-valued intuitionistic fuzzy entropy, this paper proposes a new interval-valued intuitionistic fuzzy entropy, which proves that it satisfies the axiomatic definition and obtains some inferences. Finally, an example is compared with some existing interval intuitionistic fuzzy entropy, which illustrates the effectiveness and superiority of the new interval-valued intuitionistic fuzzy entropy in application.
文章引用：伍淼锋, 陈子春, 袁家琪. 一个新的区间值直觉模糊熵[J]. 运筹与模糊学, 2024, 14(1): 748-759. https://doi.org/10.12677/ORF.2024.141070

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