当前位置: X-MOL 学术Expert Syst. Appl. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Pythagorean fuzzy linear programming technique for multidimensional analysis of preference using a squared-distance-based approach for multiple criteria decision analysis
Expert Systems with Applications ( IF 8.5 ) Pub Date : 2020-09-10 , DOI: 10.1016/j.eswa.2020.113908
Ting-Yu Chen

Pythagorean fuzzy (PF) sets involving Pythagorean membership grades can befittingly manipulate inexact and equivocal information in real-life problems involving multiple criteria decision analysis (MCDA). The linear programming technique for multidimensional analysis of preference (LINMAP) is a prototypical compromising model, and it is widely used to carry on decision-making problems in many down-to-earth applications. In LINMAP, the employment of squares of Euclidean distances is a significant technique that is an effective approach to fit measurements. Taking the advantages of a newly developed Euclidean distance model on the grounds of PF sets, this paper initiates a beneficial concept of squared PF Euclidean distances and studies its valuable and desirable properties. This paper aims to establish a squared Euclidean distance (SED)-based outranking approach and develop a novel PF LINMAP methodology for handling an MCDA problem under PF uncertainty. In the SED-based outranking approach, a novel SED-based dominance index is proposed to reflect an overall balance of a PF evaluative rating between the connection and remotest connection with positive- and negative-ideal ratings, respectively. The properties of the proposed index are also analyzed to exhibit its efficaciousness in determining the dominance relations for intracriterion comparisons. Moreover, this paper derives the comprehensive dominance index to determine the overall dominance relation and defines measurements of rank consistency for goodness of fit and rank inconsistency for poorness of fit. The PF LINMAP model is formulated to seek to ascertain the optimal weight vector that maximizes the total comprehensive dominance index and minimizes the poorness of fit under consideration of the lowest acceptable level and specialized degenerate weighting issues. The practical application concerning bridge-superstructure construction methods is conducted to test the feasibility and practicability of the PF LINMAP model. Over and above that, a generalization of the proposed methodology, along with applications to green supplier selection and railway project investment, is investigated to deal with group decision-making issues. Several comparative studies are implemented to further validate its usefulness and advantages. The application and comparison results display the effectuality and flexibility of the developed PF LINMAP methodology. In the end, the directions for future research of this work are represented in the conclusion.



中文翻译:

毕达哥拉斯模糊线性规划技术,用于基于偏好的多维分析的多标准决策分析

毕达哥拉斯成员等级的毕达哥拉斯模糊(PF)集可以适当地处理涉及多准则决策分析(MCDA)的现实问题中的不精确和模棱两可的信息。用于多维偏好分析的线性编程技术(LINMAP)是一种典型的折衷模型,广泛用于许多实际应用中的决策问题。在LINMAP中,使用欧几里得距离的平方是一项重要技术,是一种适合测量的有效方法。利用基于PF集的新开发的欧几里得距离模型的优势,本文提出了平方PF欧几里得距离的有益概念,并研究了其有价值和理想的特性。本文旨在建立基于平方欧几里德距离(SED)的排名方法,并开发一种新颖的PF LINMAP方法来处理PF不确定性下的MCDA问题。在基于SED的排名方法中,提出了一种新颖的基于SED的优势指数,以反映连接和最远端连接之间的PF评估等级的总体平衡,分别为正负理想等级。还对拟议指数的性质进行了分析,以显示其在确定标准内比较的优势关系方面的有效性。此外,本文推导了综合优势指数,以确定整体优势关系,并定义了拟合优度的等级一致性和拟合度差的等级不一致的度量。制定PF LINMAP模型的目的是在考虑最低可接受水平和专门的简并加权问题的情况下,寻求确定最佳权向量,以使总综合优势指数最大化,并使拟合的不良性最小。进行了桥梁上部结构施工方法的实际应用,以验证PF LINMAP模型的可行性和实用性。除此之外,还对所提出的方法进行了概括,并研究了其在绿色供应商选择和铁路项目投资中的应用,以解决集团决策问题。进行了一些比较研究以进一步验证其有用性和优势。应用和比较结果显示了已开发的PF LINMAP方法的有效性和灵活性。

更新日期:2020-09-10
down
wechat
bug