阿基米德联结算子与广义MSM算子的杂交及其在q-rung概率对偶犹豫模糊环境下交互决策中的应用

Q1 Decision Sciences
Gogineni Anusha, P. V. Ramana, Rupak Sarkar
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引用次数: 8

摘要

本文利用q阶概率对偶犹豫模糊集(qrpdhfs),建立了一种优于对偶犹豫模糊集、概率对偶犹豫模糊集和概率对偶犹豫毕达哥拉斯模糊集的交互式群体决策方法。在构造该方法之前,我们首先提出了基于阿基米德copula的q阶概率对偶犹豫模糊(qRPDHF)分量运算,并研究了它们的关键特征。然后,我们根据这些操作创建了一些新的聚合算子,包括qRPDHF广义Maclaurin对称平均算子、qRPDHF几何广义MSM算子、qRPDHF加权广义MSM算子和qRPDHF加权广义几何广义MSM算子。这些聚合操作符比qRPDHF上的当前操作符更好,因为它们可以考虑大量标准和概率分布之间的相互作用。评价结果是扭曲的,因为目前的方法没有考虑到专家的参与,以达到所需的一致性水平。在我们的方法中,我们采用了决策者之间的交互、一致性、相似性和建立共识的想法来解决这个问题。我们基于qRPDHF分量的交叉熵建立了一个优化模型来估计准则的权重。我们对开源软件LMS的选择进行了上下文研究,以证明推荐的aop的相关性。同样,我们对标准的权重进行敏感性测试,以确保我们的模型是一致的。对比研究表明,所提出的方法可以克服以往工作的挑战。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Hybridizations of Archimedean copula and generalized MSM operators and their applications in interactive decision-making with q-rung probabilistic dual hesitant fuzzy environment
The q-rung probabilistic dual hesitant fuzzy sets (qRPDHFSs), which outperform dual hesitant fuzzy sets, probabilistic dual hesitant fuzzy sets, and probabilistic dual hesitant Pythagorean fuzzy sets, are used in this research to develop an interactive group decision-making approach. We first suggest the Archimedean Copula-based operations on q-rung probabilistic dual hesitant fuzzy (qRPDHF) components and investigate their key features before constructing the approach. We then create some new aggregation operators (AOs) in light of these operations, including the qRPDHF generalized Maclaurin symmetric mean (MSM) operator, qRPDHF geometric generalized MSM operator, qRPDHF weighted generalized MSM operator, and qRPDHF weighted generalized geometric generalized MSM operator. These aggregation operators are better than current operators on qRPDHF because they can take into account the interactions between a large number of criteria and probability distributions. The evaluation findings are distorted since the present methodologies do not take expert involvement into account in order to achieve the required consistency level. We employ the idea of interaction, consistency, resemblance, and consensus-building among the decision-makers in our method to get around this. We create an optimization model based on the cross-entropy of the qRPDHF components to estimate the weights of the criterion. We provide contextual research on the choice of open-source software LMS in order to demonstrate the relevance of the recommended AOs. Likewise, we ran a sensitivity test on the weights of the criterion to make sure that our model is consistent. The comparison investigation has demonstrated that the suggested approach can overcome the challenges of previous works.
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来源期刊
Decision Making Applications in Management and Engineering
Decision Making Applications in Management and Engineering Decision Sciences-General Decision Sciences
CiteScore
14.40
自引率
0.00%
发文量
35
审稿时长
14 weeks
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