基于指数函数的q-Rung线性丢番图模糊集相似性测度及其在聚类问题中的应用

IF 1 Q3 MULTIDISCIPLINARY SCIENCES

gazi university journal of science Pub Date : 2023-05-05 DOI:10.35378/gujs.1013358

S. Petchimuthu, Hüseyin Kamacı

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引用次数: 0

摘要

q-rung线性丢番图模糊集是最近开发的一种工具，用于处理现实问题中的不确定和尴尬信息，适用于参考基于参数的意见。相似性度量是指具有表示对象特征的维度的距离。在保留上述分析优点的基础上，本文提出了基于指数函数的q阶线性丢番图模糊集的相似性测度，从而给出了计算两个q阶线性放番图模糊集合之间相似系数的第一个公式。将这些相似性度量应用于聚类问题，并对结果进行了分析。此外，还讨论了新的相似性度量的比较输出，以确保其良好的性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Exponential Function-Based Similarity Measures for q-Rung Linear Diophantine Fuzzy Sets and Their Application to Clustering Problem

The q-rung linear Diophantine fuzzy set is a recently developed tool to handle with uncertain and awkward information in real-life issues and is applicable where reference parameter-based opinions. Similarity measures are distance with dimensions representing features of the objects. Keeping the advantages of the above analysis, this paper proposes similarity measures based on exponential function for q-rung linear Diophantine fuzzy sets and thus presents the first formulas for calculating the similarity coefficient between two q-rung linear Diophantine fuzzy sets. These proposed similarity measures are applied to the clustering problem and the results are analyzed. In addition, the comparison outputs of the new similarity measures are discussed to ensure their good performance.

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来源期刊

gazi university journal of science MULTIDISCIPLINARY SCIENCES-

CiteScore

1.60

自引率

11.10%

发文量

期刊介绍： The scope of the “Gazi University Journal of Science” comprises such as original research on all aspects of basic science, engineering and technology. Original research results, scientific reviews and short communication notes in various fields of science and technology are considered for publication. The publication language of the journal is English. Manuscripts previously published in another journal are not accepted. Manuscripts with a suitable balance of practice and theory are preferred. A review article is expected to give in-depth information and satisfying evaluation of a specific scientific or technologic subject, supported with an extensive list of sources. Short communication notes prepared by researchers who would like to share the first outcomes of their on-going, original research work are welcome.