A linear programming aggregation method based on generalized Zhenyuan integral in q-ROFN environment and the application of talent recruitment in universities

IF 7.2 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Applied Soft Computing Pub Date : 2024-09-08 DOI:10.1016/j.asoc.2024.112214
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Abstract

The reasonable ranking of binary pairs that characterize fuzzy information in many fuzzy decision problems is very important. To overcome some defects of the existing score functions for the q-rung orthopair fuzzy numbers (q-ROFNs), a novel score function and ranking criterion are proposed by the q-compression transformation and hesitation factor. The main motivation is to introduce the generalized Zhenyuan (GZ)-integral into the q-ROFN environment, and cleverly transform the aggregation operations into a linear programming problem through the arithmetic operations of q-ROFNs. The main contribution is to solve the aggregation problem of q-rung orthopair fuzzy generalized Zhenyuan integral ordered weighted average (q-ROFGZIOWA) operator through the optimization technique of linear programming, and a new decision making method is established by using the q-ROFGZIOWA operator and ranking criterion. The main innovation is to map all q-ROFNs to the unit triangle in the first quadrant (converted into intuitionistic fuzzy numbers, IFNs) according to the q-compression transformation in geometric significance, and the novel score function and its ranking criterion are proposed by combining hesitation factor, and then the aggregation operation based on generalized Z-integral is converted to an optimization problem in linear programming. Finally, the superiority of the proposed method are verified by comparing the aggregation results of two integral operators through an example, and apply the proposed method to the optimal decision-making of talent recruitment in universities. The proposed method can not only correct some flaws in the ranking of existing q-ROFNs, but also overcomes some defects of existing Choquet integral average (geometric) operators in a q-ROFN environment. These results are of great significance for further research on the widespread application of q-ROFNs.

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基于q-ROFN环境下广义振源积分的线性规划聚合方法及在高校人才招聘中的应用
在许多模糊决策问题中,对表征模糊信息的二元对进行合理排序非常重要。为了克服现有 q-ROFN(q-rung orthopair fuzzy numbers,q-ROFN)分值函数的一些缺陷,本文通过 q-压缩变换和犹豫因子提出了一种新的分值函数和排序准则。其主要动机是在 q-ROFN 环境中引入广义振源(GZ)积分,并通过 q-ROFN 的算术运算将聚合运算巧妙地转化为线性规划问题。其主要贡献在于通过线性规划的优化技术解决了q-rung正对模糊广义振源积分有序加权平均(q-ROFGZIOWA)算子的聚合问题,并利用q-ROFGZIOWA算子和排序准则建立了一种新的决策方法。主要创新点是根据几何意义中的 q 压缩变换,将所有 q-ROFN 映射到第一象限的单位三角形(转换为直觉模糊数,IFN),并结合犹豫因子提出了新的评分函数及其排序准则,然后将基于广义 Z 积分的聚合运算转换为线性规划中的优化问题。最后,通过实例比较两种积分运算的聚合结果,验证了所提方法的优越性,并将所提方法应用于高校人才招聘的优化决策中。所提出的方法不仅可以修正现有 q-ROFN 排序中的一些缺陷,而且克服了现有 q-ROFN 环境下 Choquet 积分平均(几何)算子的一些缺陷。这些结果对进一步研究 q-ROFN 的广泛应用具有重要意义。
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来源期刊
Applied Soft Computing
Applied Soft Computing 工程技术-计算机:跨学科应用
CiteScore
15.80
自引率
6.90%
发文量
874
审稿时长
10.9 months
期刊介绍: Applied Soft Computing is an international journal promoting an integrated view of soft computing to solve real life problems.The focus is to publish the highest quality research in application and convergence of the areas of Fuzzy Logic, Neural Networks, Evolutionary Computing, Rough Sets and other similar techniques to address real world complexities. Applied Soft Computing is a rolling publication: articles are published as soon as the editor-in-chief has accepted them. Therefore, the web site will continuously be updated with new articles and the publication time will be short.
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