基于通用Dombi算子的测量不确定度传递方法研究

随机模糊变量RFVs法是近年来提出的一种基于可能性理论的测量不确定度评定和表示方法。RFVs法应用t-范数传递不确定度随机分量,是传统概率论方法的近似。针对Frank t-范数传递多个随机分量时近似误差累积变大的问题,提出使用二参数通用Dombi算子传递随机分量。首先简单介绍了RFVs的含义;然后说明了最优t-范数及其参数的选择方法,得到了GDO的最优参数,并用于获得联合可能性分布,结果表明GDO对于合成随机分量有很大改善;最后将GDO用于有功功率测量不确定度评定,并与Frank t-范数、传统GUM法和实验数据比较,使用GDO得到的置信区间能够很好地近似传统GUM法和实验数据分析结果。具有2个参数的GDO具有更大的灵活性,可以在传递多个不确定度随机分量的情况下获得满意的结果。

Dombi-Normalized Weighted Bonferroni Mean Operators with Novel Multiple-Valued Complex Neutrosophic Uncertain Linguistic Sets and Their Application in Decision Making

Although fuzzy set concepts have evolved,neutrosophic sets are attractingmore attention due to the greater power of the structure of neutrosophic sets.The ability to account for components that are true,false or neither true nor false is useful in the resolution of real-life problems.However,simultaneous variations render neutrosophic sets unsuitable in specific circumstances.To enable the management of these sorts of issues,we combine the principle of multi-valued neutrosophic uncertain linguistic sets and complex fuzzy sets to develop the principle of multivalued complex neutrosophic uncertain linguistic sets.Multi-valued complex neutrosophic uncertain linguistic sets can contain grades of truth,abstinence,and falsity,and uncertain linguistic terms,which are expressed as complex numbers whose real and imaginary parts are limited to the unit interval.Some important Dombi laws are elaborated along with Bonferroni mean operators,which offer a flexible general structure with modifiable factors.Bonferroni means aggregation operators perform a significant role in conveying the magnitude level of options and characteristics.To determine relationships among any number of attributes,we develop multi-valued complex neutrosophic uncertain linguistic Dombi-normalized weighted Bonferroni mean operators and discuss their important properties with some special cases.By using these laws,we can deploy themulti-attribute decisionmaking(MADM)technique using the novel principle of multi-valued complex neutrosophic uncertain linguistic sets.To determine the power and flexibility of the elaborated approach,we resolve some numerical examples based on the proposed operator.Finally,the work is validated with the help of comparative analysis,a discussion of its advantages,and geometric expressions of the elaborated theories.

面向区域绿色修复水平评价的概率犹豫Fermatean模糊拓展MULTIMOORA方法

绿色发展是高质量发展的重要组成部分,绿色修复是当前可持续发展的必要环节,如何科学评判绿色修复水平已成为一项重要工作,评价过程中的复杂性和不确定性为提升绿色修复水平带来了挑战.对此,在概率犹豫Fermatean模糊环境下,提出拓展MULTIMOORA方法以开发一种面向区域绿色修复水平评价的框架.采用概率犹豫Fermatean模糊集(PHFFS)表达综合评价信息值,通过Dombi运算融合Choquet积分几何算子(PHFFDCIG)聚合评价信息比其他运算方法更合适,可以通过调整参数增强信息聚合的灵活性.然后,将传统MULTIMOORA方法子系统中的参照点法和完全乘法形式进行完善,并结合Choquet积分和改进Borda规则,提出一种PHFFSMULTIMOORA方法对区域绿色修复水平评价指标间的相互作用进行建模,从而捕获其重要性权重,综合确定区域绿色修复水平的优先级.最后,通过长江经济带沿线5省市绿色修复水平评价的案例分析研究和灵敏度分析测试有效验证所建立模型框架的准确性、有效性和实用性.