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## A parametric similarity measure between picture fuzzy sets and its applications in multi-attribute decision-making | ||

Iranian Journal of Fuzzy Systems | ||

مقاله 8، دوره 20، شماره 1، فروردین و اردیبهشت 2023، صفحه 87-102 اصل مقاله (469.43 K)
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نوع مقاله: Research Paper | ||

شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7348 | ||

نویسندگان | ||

R. R. Zhao^{1}؛ M. X. Luo^{*} ^{1}؛ S. G. Li^{2}؛ L. N. Ma^{2}
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^{1}Department of Information and Computing Science, China Jiliang University, Hangzhou 310018, PR China | ||

^{2}College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, PR China | ||

چکیده | ||

Picture fuzzy set is an extension of intuitionistic fuzzy set, which can deal with inconsistent and uncertain information more accurately. Similarity measure, as an important mathematical tool to evaluate the degree of similarity between picture fuzzy sets, has been widely used to deal with multi-attribute decision-making problems. But there are unreasonable and counter-intuitive cases due to a few undesirable properties. In order to handle these unreasonable cases, this paper proposes a parametric similarity measure based on three parameters $m_1, m_2$ and $m_3$, in which decision makers with different decision styles can obtain the appropriate similarity measure by adjusting parameters $m_1, m_2$ and $m_3$. Moreover, we analyze some existing similarity measures from the perspective of mathematics and show that the proposed similarity measure is effective by numerical examples. In the end, we use the proposed similarity measure to solve the problems of multi-attribute decision-making. Through the comparison and analysis, we find that the proposed similarity measure is more effective than some existing similarity measures between picture fuzzy sets. | ||

کلیدواژهها | ||

Picture fuzzy set؛ similarity measure؛ multi-attribute decision-making | ||

مراجع | ||

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