Saeed Muhammad Haris, Razaq Fatima, Saeed Muhammad, Habib Muhammad Salman, Hwang Seung-June
Department of Chemistry, University of Management and Technology, 54700, Lahore, Punjab, Pakistan.
Department of Mathematics, University of Management and Technology, 54700, Lahore, Punjab, Pakistan.
Sci Rep. 2025 Jul 1;15(1):20706. doi: 10.1038/s41598-025-07896-5.
The economic development of a country is profoundly influenced by how it protects and utilizes its natural resources, one of which is wastewater, with emphasis on environmental sustainability. For this multi-factorial sustainability analysis, this study introduces a novel Fuzzy Parameterized Fuzzy Hypersoft Set (FPFHSS) structure to develop a comprehensive decision-making and performance evaluation system for wastewater treatment facilities. The practicality of the designed system is explored by highlighting its ability to evaluate urban projects and work as a decision-making system for environmental policy design. The study introduces an algorithm based on the hypersoft structure, allowing the division of attributes into sub-attributes for a more concise analysis. The sub-parametric values are first parameterized into fuzzy numbers and then evaluated based on their relative importance. With proper fuzzy parameterization of each sub-attribute, novel specialized FPFHSS based Technique of Ordered Preference Similar to Ideal Solution (TOPSIS) and Multi-Objective Optimization on the basis of a Ratio Analysis (MULTIMOORA) approaches are developed that provide a versatile analysis in addition to the newly developed algorithm. With these 3 specialized systems, 4 case studies were developed based on 19 pseudo-realistic environmental, social, technical, and economic factors each simulating a different scenario faced by nations highlighting sustainability, technical performance and the environment allowing for informed decision-making while addressing uncertainty making them highly suitable as a computational AI solution for real-data analysis. This fuzzy analysis offers a reference for making informed decisions in the context of environmental remediation and complex scenario simulations.
一个国家的经济发展深受其保护和利用自然资源方式的影响，废水就是其中一种自然资源，重点在于环境可持续性。对于这种多因素可持续性分析，本研究引入了一种新颖的模糊参数化模糊超软集（FPFHSS）结构，以开发一个针对污水处理设施的综合决策与绩效评估系统。通过突出该设计系统评估城市项目的能力以及作为环境政策设计决策系统的作用，来探索其实用性。该研究引入了一种基于超软结构的算法，允许将属性划分为子属性以便进行更简洁的分析。子参数值首先被参数化为模糊数，然后根据其相对重要性进行评估。通过对每个子属性进行适当的模糊参数化，开发了基于新颖的专门FPFHSS的逼近理想解排序法（TOPSIS）和基于比率分析的多目标优化法（MULTIMOORA），除了新开发的算法外，还提供了一种通用分析。利用这三个专门系统，基于19个模拟各国面临的不同情景的伪现实环境、社会、技术和经济因素开展了4个案例研究，突出了可持续性、技术性能和环境，在解决不确定性的同时允许进行明智决策，使其非常适合作为真实数据分析的计算人工智能解决方案。这种模糊分析为在环境修复和复杂情景模拟背景下做出明智决策提供了参考。
