Ma Ruimin
Department of Computer, Changzhi University, Changzhi, 046000, China.
Sci Rep. 2025 Aug 19;15(1):30347. doi: 10.1038/s41598-025-13536-9.
Bipolar complex fuzzy set (BCFS) theory is a newly developed framework for addressing real-world decision-making (DM) problems that involve ambiguous, uncertain, and dual-valued information. The theory is based on bipolar fuzzy set (BFS) and complex fuzzy set (CFS), which enable the association of both positive membership degree (PMD) and negative membership degrees (Ne-MD) within the unit square of the complex plane. This paper considers the use of Aczel-Alsina (AA) operational laws in the BCFS setting to introduce two new aggregation operators (AOs): bipolar complex fuzzy Choquet integral Aczel-Alsina averaging (BCFCIAAA) and order averaging (BCFCIAAOA). These operators are studied analytically in terms of essential properties, such as idempotency, monotonicity, and boundedness. To demonstrate the superiority of the proposed approach, we develop a hybrid DM model that combines the decision-making trial and evaluation laboratory (DEMATEL) method with the Choquet integral (CI) within the BCFS framework. This model is applied to a real-world case study focused on prioritizing critical factors influencing the integration of image processing and big data analytics (IP-BDA) into software development. The causal effects indicate that feature extraction, automation and efficiency, as well as object detection, are critical causal factors, whereas image enhancement, security, and segmentation are dependent effects. These findings offer actionable insights for decision-makers (DMKs), emphasizing the importance of intelligent feature handling and scalable analytics workflows in designing adaptive and high-performance software systems.
双极复模糊集(BCFS)理论是一种新开发的框架,用于解决涉及模糊、不确定和双值信息的实际决策(DM)问题。该理论基于双极模糊集(BFS)和复模糊集(CFS),它们能够在复平面的单位正方形内关联正隶属度(PMD)和负隶属度(Ne-MD)。本文考虑在BCFS环境中使用阿采尔 - 阿尔西纳(AA)运算定律,引入两种新的聚合算子(AO):双极复模糊Choquet积分阿采尔 - 阿尔西纳平均(BCFCIAAA)和有序平均(BCFCIAAOA)。从幂等性、单调性和有界性等基本性质方面对这些算子进行了分析研究。为了证明所提方法的优越性,我们开发了一种混合决策模型,该模型在BCFS框架内将决策试验与评价实验室(DEMATEL)方法与Choquet积分(CI)相结合。该模型应用于一个实际案例研究,重点是对影响将图像处理和大数据分析(IP - BDA)集成到软件开发中的关键因素进行优先级排序。因果效应表明,特征提取、自动化与效率以及目标检测是关键因果因素,而图像增强、安全性和分割是依赖效应。这些发现为决策者(DMK)提供了可操作的见解,强调了在设计自适应和高性能软件系统中智能特征处理和可扩展分析工作流程的重要性。