Decision making using novel Fermatean fuzzy divergence measure and weighted aggregation operators

3区 计算机科学 Q1 Computer Science Journal of Ambient Intelligence and Humanized Computing Pub Date : 2024-04-08 DOI:10.1007/s12652-024-04774-2
Adeeba Umar, Ram Naresh Saraswat
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Abstract

The fuzzy set theory was introduced to handle uncertainty due to imprecision, vagueness and partial information. Then, its extensions such as intuitionistic fuzzy set, intuitionistic interval-valued fuzzy set, Pythagorean fuzzy set were introduced and applied successfully in many fields. Then another extension of orthopair fuzzy set was introduced as Fermatean fuzzy set which is characterized by membership degree and non-membership degree which makes it to provide an excellent tool to present imprecise opinions of humans in decision-making processes. This study is devoted to construct a novel Fermatean fuzzy divergence measure along with its evidence of legitimacy and to deliberate its key properties. The proposed divergence measure for Fermatean fuzzy sets with weighted aggregation operators is applied to fix decision-making problems through numerical illustrations. A comparative study is given between the proposed Fermatean fuzzy divergence measure and the extant methods to test its effectiveness, viability and expediency. Their results were compared in order to check the superiority of the proposed measure.

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利用新型费尔马特模糊分歧度量和加权聚合算子进行决策
模糊集理论的提出是为了处理由于不精确、模糊和部分信息造成的不确定性。随后,它的扩展集,如直观模糊集、直观区间值模糊集、毕达哥拉斯模糊集被引入并成功应用于许多领域。正交模糊集的另一个扩展是费马特模糊集,它具有成员度和非成员度的特征,这使它成为在决策过程中呈现人类不精确意见的绝佳工具。本研究致力于构建一种新的费马泰尔模糊分歧度量及其合法性证据,并探讨其关键属性。所提出的带有加权聚合算子的费马泰尔模糊集分歧度量被应用于通过数字说明解决决策问题。对所提出的费马特模糊分歧度量和现有方法进行了比较研究,以检验其有效性、可行性和便利性。通过对它们的结果进行比较,检验了所提方法的优越性。
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来源期刊
Journal of Ambient Intelligence and Humanized Computing
Journal of Ambient Intelligence and Humanized Computing COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCEC-COMPUTER SCIENCE, INFORMATION SYSTEMS
CiteScore
9.60
自引率
0.00%
发文量
854
期刊介绍: The purpose of JAIHC is to provide a high profile, leading edge forum for academics, industrial professionals, educators and policy makers involved in the field to contribute, to disseminate the most innovative researches and developments of all aspects of ambient intelligence and humanized computing, such as intelligent/smart objects, environments/spaces, and systems. The journal discusses various technical, safety, personal, social, physical, political, artistic and economic issues. The research topics covered by the journal are (but not limited to): Pervasive/Ubiquitous Computing and Applications Cognitive wireless sensor network Embedded Systems and Software Mobile Computing and Wireless Communications Next Generation Multimedia Systems Security, Privacy and Trust Service and Semantic Computing Advanced Networking Architectures Dependable, Reliable and Autonomic Computing Embedded Smart Agents Context awareness, social sensing and inference Multi modal interaction design Ergonomics and product prototyping Intelligent and self-organizing transportation networks & services Healthcare Systems Virtual Humans & Virtual Worlds Wearables sensors and actuators
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