{"title":"Decision making using novel Fermatean fuzzy divergence measure and weighted aggregation operators","authors":"Adeeba Umar, Ram Naresh Saraswat","doi":"10.1007/s12652-024-04774-2","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":14959,"journal":{"name":"Journal of Ambient Intelligence and Humanized Computing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Ambient Intelligence and Humanized Computing","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1007/s12652-024-04774-2","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Computer Science","Score":null,"Total":0}
引用次数: 0
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.
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