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A new method to measure the knowledge amount of Atanassov’s intuitionistic fuzzy sets

机译：一种测量Atanassov直觉模糊集知识量的新方法

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It is of great significance to measure the knowledge amount conveyed by Atanassov’s intuitionistic fuzzy sets (AIFSs). Many efforts have been done to define a suitable knowledge measure for AIFSs, or uncertainty measure, named as a dual measure of knowledge measure. However, many of these measures are developed from the view of point of intuitionistic fuzzy entropy, which cannot well reflect the knowledge amount associated with an AIFS. Other knowledge measures developed based on the difference between an AIFS and its complement may lead to information loss in the scenario of decision making. This paper proposed a new knowledge measure for AIFSs. The axiomatic definition of knowledge measure is extended to a more general level. The properties of the new developed knowledge measure are investigated through mathematical analysis and numerical examples. Further discussion on the relation between knowledge measure and entropy measure is proposed to clear up the relation and distinction between them.
机译：测量Atanassov的直觉模糊集（AIFS）传达的知识量具有重要意义。已经做了很多努力来为AIFS定义合适的知识测度或不确定性测度，称为知识测度的双重测度。然而，许多这些措施是从直觉模糊熵的观点发展起来的，它不能很好地反映与AIFS相关的知识量。基于AIFS及其补充之间的差异而开发的其他知识度量可能会在决策过程中导致信息丢失。本文提出了一种新的AIFS知识度量方法。知识测度的公理定义被扩展到更一般的水平。通过数学分析和数值示例研究了新开发的知识测度的性质。进一步讨论了知识测度和熵测度之间的关系，以理清它们之间的关系和区别。

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