作为模糊信息聚合器的模糊中值

IF 0.4 Q4 INFORMATION SCIENCE & LIBRARY SCIENCE

Scientific and Technical Information Processing Pub Date : 2024-03-07 DOI:10.3103/s0147688223060060

V. L. Khatskevich

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引用次数: 0

摘要

摘要在模糊数系统的模糊中值的基础上，引入并研究了一类用于实现模糊信息聚合问题的平均算子。平均算子的对称性、幂等性、连续性和单调性等既定性质是对模糊情况下标量聚合函数特征性质的修正。此外，还建立了作为极端属性的可加性和同质性。这决定了在汇总模糊信息的任务中使用模糊中值的适当性。

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Fuzzy Medians as Aggregators of Fuzzy Information

Abstract—

On the basis of the fuzzy medians of fuzzy number systems, a class of averaging operators is introduced and studied for the implementation of the problem of the aggregation of fuzzy information. The established properties of symmetry, idempotence, continuity, and monotonicity of averaging operators are a modification of the characteristic properties of scalar aggregation functions for the fuzzy case. Additionally, the properties of additivity and homogeneity, as an extreme property, are established. This determines the adequacy of the use of fuzzy medians in the tasks of aggregating fuzzy information.

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来源期刊

Scientific and Technical Information Processing INFORMATION SCIENCE & LIBRARY SCIENCE-

CiteScore

1.00

自引率

42.90%

发文量

期刊介绍： Scientific and Technical Information Processing is a refereed journal that covers all aspects of management and use of information technology in libraries and archives, information centres, and the information industry in general. Emphasis is on practical applications of new technologies and techniques for information analysis and processing.