图像模糊集环境下Yager算子的概念及其在应急方案选择中的应用

Muhammad Qiyas, Muhammad Sajjad Ali Khan, Saifullah Khan, S. Abdullah
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引用次数: 42

摘要

目的探讨应急方案的选择方法。设计/方法/方法作者生成了6种聚合算子,即图像模糊Yager加权平均算子(PFYWA)、图像模糊Yager有序加权平均算子、图像模糊Yager混合加权平均算子、图像模糊Yager加权几何算子(PFYWG)、图像模糊Yager有序加权几何算子和图像模糊Yager混合加权几何聚合算子。首先,定义了图像模糊集(FS)的分数函数和准确率函数,并利用Yager聚合运算定义了图像模糊集的基本运算规律。然后,利用所建立的运算规律,提出了PFYWA、图像模糊Yager有序加权平均、图像模糊Yager混合加权平均、PFYWG、图像模糊Yager有序加权几何和图像模糊Yager混合加权几何聚集算子,并给出了它们的理想性质。提出了一种基于这些算子的决策方法。给出了一个说明性的例子来说明这种方法。最后,讨论了所提出的方法与其他现有方法的比较,并撰写了文章的结论。独创性/价值为应急方案选择寻找最佳方案。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Concept of Yager operators with the picture fuzzy set environment and its application to emergency program selection
PurposeThe aim of this study as to find out an approach for emergency program selection.Design/methodology/approachThe authors have generated six aggregation operators (AOs), namely picture fuzzy Yager weighted average (PFYWA), picture fuzzy Yager ordered weighted average, picture fuzzy Yager hybrid weighted average, picture fuzzy Yager weighted geometric (PFYWG), picture fuzzy Yager ordered weighted geometric and picture fuzzy Yager hybrid weighted geometric aggregations operators.FindingsFirst of all, the authors defined the score and accuracy function for picture fuzzy set (FS), and some fundamental operational laws for picture FS using the Yager aggregation operation. After that, using the developed operational laws, developed some AOs, namely PFYWA, picture fuzzy Yager ordered weighted average, picture fuzzy Yager hybrid weighted average, PFYWG, picture fuzzy Yager ordered weighted geometric and picture fuzzy Yager hybrid weighted geometric aggregations operators, have been proposed along with their desirable properties. A decision-making (DM) approach based on these operators has also been presented. An illustrative example has been given for demonstrating the approach. Finally, discussed the comparison of the proposed method with the other existing methods and write the conclusion of the article.Originality/valueTo find the best alternative for emergency program selection.
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