Ali Zeeshan, Ashraf Khumara, Hayat Khizar
Department of Information Management, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin, 64002, Taiwan.
Department of Mathematics and Statistics, Riphah International University Islamabad, 44000, Pakistan.
Heliyon. 2024 Sep 14;10(19):e37872. doi: 10.1016/j.heliyon.2024.e37872. eCollection 2024 Oct 15.
The model of circular bipolar complex fuzzy (Cir-BCF) sets computed based on the membership function, non-membership function, and radius among both functions for each value of the universal set. The technique of the Cir-BCF set is the modified or extended form of fuzzy sets, complex fuzzy sets, bipolar fuzzy sets, bipolar complex fuzzy sets, and simple circular bipolar fuzzy sets to cope with uncertain and vague information. In this manuscript, we describe the novel technique of frank operational laws based on Cir-BCF values for frank t-norm and frank t-conorm. Further, we simplify the model of Cir-BCF frank power averaging (Cir-BCFFPA), Cir-BCF frank power weighted averaging (Cir-BCFFPWA), Cir-BCF frank power geometric (Cir-BCFFPG), Cir-BCF frank power weighted geometric (Cir-BCFFPWG) operators, and highlighted their valuable properties, called idempotency, monotonicity, and boundedness. Moreover, analysis of renewable energy resources is very awkward and complicated, but it is natural sources of energy that are refilled constantly or relativeness quickly on a human timescale. Further, solar energy, hydroelectric energy, geothermal energy, biomass energy, and wind energy are five major sources of energy, but it is complex to find which one is the best and which one is worst. For evaluating the above problems, we construct the technique of evaluation based on the distance from the average solution (EDAS) method under the presence of the Cir-BCF numbers (Cir-BCFNs). At the end, we arrange the comparison between proposed and existing techniques based on some numerical examples to describe the validity and proficiency of the initiated information.
基于全集每个值的隶属函数、非隶属函数以及这两个函数之间的半径计算出的圆形双极复模糊（Cir - BCF）集模型。Cir - BCF集技术是模糊集、复模糊集、双极模糊集、双极复模糊集和简单圆形双极模糊集的改进或扩展形式，用于处理不确定和模糊信息。在本手稿中，我们描述了基于Cir - BCF值用于Frank t - 范数和Frank t - 余范数的新型Frank运算定律技术。此外，我们简化了Cir - BCF Frank幂平均（Cir - BCFFPA）、Cir - BCF Frank幂加权平均（Cir - BCFFPWA）、Cir - BCF Frank幂几何（Cir - BCFFPG）、Cir - BCF Frank幂加权几何（Cir - BCFFPWG）算子的模型，并突出了它们的宝贵性质，即幂等性、单调性和有界性。此外，可再生能源资源的分析非常棘手和复杂，但它是在人类时间尺度上不断或相对快速补充的自然能源。而且，太阳能、水能、地热能、生物质能和风能是五种主要能源，但很难找出哪种是最好的，哪种是最差的。为了评估上述问题，我们构建了在Cir - BCF数（Cir - BCFNs）存在的情况下基于平均解距离（EDAS）方法的评估技术。最后，我们基于一些数值示例对所提出的技术和现有技术进行比较，以描述初始信息的有效性和熟练度。
