Ali Zeeshan, Hayat Khizar, Pamucar Dragan
Department of Information Management, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin, 64002, Taiwan, R.O.C.
Department of Mathematics, University of Kotli, AJ&K, Pakistan.
Heliyon. 2024 Aug 26;10(17):e36799. doi: 10.1016/j.heliyon.2024.e36799. eCollection 2024 Sep 15.
Green industry development focuses on balancing economic and financial growth with environmental stewardship and ensuring that companies and industries are contributing positively to both environmental sustainability and prosperity. This manuscript aims to develop the novel technique of circular complex p, q-quasirung orthopair fuzzy 2-tuple linguistic (CCp, q-QOF2-TL) set and their operational laws based on algebraic t-norms and Hamacher t-norms, where the algebraic t-norms and Einstein t-norms are the special cases of the Hamacher t-norms for parameter and . Further, we derive the Hamacher power aggregation operators based on any finite collection of CCp, q-QOF2-TL numbers (CCp, q-QOF2-TLNs), called CCp, q-QOF2-TL Hamacher power average (CCp, q-QOF2-TLHPA) operator, CCp, q-QOF2-TL Hamacher power weighted average (CCp, q-QOF2-TLHPWA) operator, CCp, q-QOF2-TL Hamacher power geometric (CCp, q-QOF2-TLHPG) operator, CCp, q-QOF2-TL Hamacher power weighted geometric (CCp, q-QOF2-TLHPWG) operator, and described their basic properties, called idempotency, monotonicity, and boundedness. Further, we demonstrate the technique of multi-attribute decision-making (MADM) problem based on the above operators to evaluate the major factor that will be playing in the development of the green industry. Finally, we compare the proposed ranking values with the obtained ranking values of existing techniques to show the supremacy and superiority of the initiated approaches.
绿色产业发展注重在经济和金融增长与环境管理之间取得平衡，并确保企业和行业对环境可持续性和繁荣做出积极贡献。本文旨在基于代数t-范数和哈马赫t-范数开发循环复p,q-拟梯形正交对模糊2-元语言(CCp,q-QOF2-TL)集的新技术及其运算定律，其中代数t-范数和爱因斯坦t-范数是哈马赫t-范数在参数 和 时的特殊情况。此外，我们基于任意有限个CCp,q-QOF2-TL数(CCp,q-QOF2-TLNs)推导了哈马赫幂聚合算子，称为CCp,q-QOF2-TL哈马赫幂平均(CCp,q-QOF2-TLHPA)算子、CCp,q-QOF2-TL哈马赫幂加权平均(CCp,q-QOF2-TLHPWA)算子、CCp,q-QOF2-TL哈马赫幂几何(CCp,q-QOF2-TLHPG)算子、CCp,q-QOF2-TL哈马赫幂加权几何(CCp,q-QOF2-TLHPWG)算子，并描述了它们的基本性质，即幂等性、单调性和有界性。进一步，我们基于上述算子演示了多属性决策(MADM)问题的技术，以评估在绿色产业发展中起主要作用的因素。最后，我们将提出的排序值与现有技术获得的排序值进行比较，以显示所提出方法的优越性。
