A Supplier Selection Decision-Making Approach for Complex Product Development Based on Hesitant Fuzzy Information

IF 1.9 3区 数学 Q1 MATHEMATICS, APPLIED Axioms Pub Date : 2023-10-25 DOI:10.3390/axioms12111006
Baodong Li, Jiafu Su, Boqiao Yuan, Lvcheng Li, Yihuan Zhao, Zhidan Qin, Li Qian
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Abstract

During the development process of complex products, selecting the best desirable alternative supplier is a challenge since an improperly selected alternative may cause losing capacity and increasing the cycle time and cost of development for a company. For this multiple-attribute decision-making problem of supplier selection, in this paper, a supplier selection problem in which the decision data are hesitant fuzzy information and the attribute weight is unknown in complex product development is investigated, and a supplier selection decision-making approach based on hesitant fuzzy information is proposed. Firstly, a bidirectional projection based on hesitant fuzzy information is established, and then the measurement equation for the degree of closeness is improved. Further, an attribute weight determination model which minimizes the projection total deviation for the hesitant fuzzy elements is constructed. By solving this model, scientific and reasonable attribute weights are provided. Subsequently, an illustrative example is employed to not only give the ranking result of alternative suppliers but also demonstrate the validity and feasibility of the developed approach. Meanwhile, sensitivity analysis and comparative analysis are put forward to illustrate the stability of the given final ranking result and the advantages and reliability of the constructed method. For alternative or strategy selection, this proposed approach can be used as a decision-making means when uncertainties are inherent.
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基于犹豫模糊信息的复杂产品供应商选择决策方法
在复杂产品的开发过程中,选择最理想的替代供应商是一个挑战,因为选择不当可能会导致公司丧失产能,增加开发周期时间和成本。针对供应商选择的多属性决策问题,研究了复杂产品开发中决策数据为犹豫模糊信息且属性权重未知的供应商选择问题,提出了一种基于犹豫模糊信息的供应商选择决策方法。首先建立了基于犹豫模糊信息的双向投影,然后改进了贴近度的度量方程;在此基础上,构造了模糊犹豫元素投影总偏差最小的属性权重确定模型。通过求解该模型,给出了科学合理的属性权重。最后,通过一个算例给出了备选供应商的排序结果,并验证了该方法的有效性和可行性。同时,通过灵敏度分析和对比分析来说明所给出的最终排序结果的稳定性以及所构建方法的优越性和可靠性。对于备选方案或策略选择,该方法可作为固有不确定性的决策手段。
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来源期刊
Axioms
Axioms Mathematics-Algebra and Number Theory
自引率
10.00%
发文量
604
审稿时长
11 weeks
期刊介绍: Axiomatic theories in physics and in mathematics (for example, axiomatic theory of thermodynamics, and also either the axiomatic classical set theory or the axiomatic fuzzy set theory) Axiomatization, axiomatic methods, theorems, mathematical proofs Algebraic structures, field theory, group theory, topology, vector spaces Mathematical analysis Mathematical physics Mathematical logic, and non-classical logics, such as fuzzy logic, modal logic, non-monotonic logic. etc. Classical and fuzzy set theories Number theory Systems theory Classical measures, fuzzy measures, representation theory, and probability theory Graph theory Information theory Entropy Symmetry Differential equations and dynamical systems Relativity and quantum theories Mathematical chemistry Automata theory Mathematical problems of artificial intelligence Complex networks from a mathematical viewpoint Reasoning under uncertainty Interdisciplinary applications of mathematical theory.
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