{"title":"基于爱因斯坦 T 准则和 T 准则的复费马泰模糊几何聚合算子及其在群体决策问题中的应用","authors":"Khaista Rahman, Rifaqat Ali, Tarik Lamoudan","doi":"10.1007/s00500-024-09804-x","DOIUrl":null,"url":null,"abstract":"<p>Complex Fermatean fuzzy set (CFF-Sets) is one of the successful extensions of complex Pythagorean fuzzy sets (CPF-Sets). The main objective of the paper is to present complex Fermatean fuzzy sets (CFF-Sets), complex Fermatean fuzzy numbers (CFFNs) and some of their basic operational laws and their corresponding aggregation operators, which can represent the time-periodic problems and two-dimensional information in a single set. We introduce various novel operators, such as complex Fermatean fuzzy Einstein weighted geometric aggregation (CFFEWGA) operator, complex Fermatean fuzzy Einstein ordered weighted geometric aggregation (CFFEOWGA) operator, complex Fermatean fuzzy Einstein hybrid geometric aggregation (CFFEHGA) operator, induced complex Fermatean fuzzy Einstein ordered weighted geometric aggregation (I-CFFEOWGA) operator, and induced complex Fermatean fuzzy Einstein hybrid geometric aggregation (I-CFFEHGA) operator along with their structure properties, such as idempotency, boundedness and monotonicity. An illustrative example related to the selection of the more suitable location for hospital is to be considered to show the effectiveness and efficiency of the novel approach.</p>","PeriodicalId":22039,"journal":{"name":"Soft Computing","volume":"11 1","pages":""},"PeriodicalIF":3.1000,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Complex Fermatean fuzzy geometric aggregation operators and their application on group decision-making problem based on Einstein T-norm and T-conorm\",\"authors\":\"Khaista Rahman, Rifaqat Ali, Tarik Lamoudan\",\"doi\":\"10.1007/s00500-024-09804-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Complex Fermatean fuzzy set (CFF-Sets) is one of the successful extensions of complex Pythagorean fuzzy sets (CPF-Sets). The main objective of the paper is to present complex Fermatean fuzzy sets (CFF-Sets), complex Fermatean fuzzy numbers (CFFNs) and some of their basic operational laws and their corresponding aggregation operators, which can represent the time-periodic problems and two-dimensional information in a single set. We introduce various novel operators, such as complex Fermatean fuzzy Einstein weighted geometric aggregation (CFFEWGA) operator, complex Fermatean fuzzy Einstein ordered weighted geometric aggregation (CFFEOWGA) operator, complex Fermatean fuzzy Einstein hybrid geometric aggregation (CFFEHGA) operator, induced complex Fermatean fuzzy Einstein ordered weighted geometric aggregation (I-CFFEOWGA) operator, and induced complex Fermatean fuzzy Einstein hybrid geometric aggregation (I-CFFEHGA) operator along with their structure properties, such as idempotency, boundedness and monotonicity. An illustrative example related to the selection of the more suitable location for hospital is to be considered to show the effectiveness and efficiency of the novel approach.</p>\",\"PeriodicalId\":22039,\"journal\":{\"name\":\"Soft Computing\",\"volume\":\"11 1\",\"pages\":\"\"},\"PeriodicalIF\":3.1000,\"publicationDate\":\"2024-08-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Soft Computing\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.1007/s00500-024-09804-x\",\"RegionNum\":3,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Soft Computing","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1007/s00500-024-09804-x","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE","Score":null,"Total":0}
Complex Fermatean fuzzy geometric aggregation operators and their application on group decision-making problem based on Einstein T-norm and T-conorm
Complex Fermatean fuzzy set (CFF-Sets) is one of the successful extensions of complex Pythagorean fuzzy sets (CPF-Sets). The main objective of the paper is to present complex Fermatean fuzzy sets (CFF-Sets), complex Fermatean fuzzy numbers (CFFNs) and some of their basic operational laws and their corresponding aggregation operators, which can represent the time-periodic problems and two-dimensional information in a single set. We introduce various novel operators, such as complex Fermatean fuzzy Einstein weighted geometric aggregation (CFFEWGA) operator, complex Fermatean fuzzy Einstein ordered weighted geometric aggregation (CFFEOWGA) operator, complex Fermatean fuzzy Einstein hybrid geometric aggregation (CFFEHGA) operator, induced complex Fermatean fuzzy Einstein ordered weighted geometric aggregation (I-CFFEOWGA) operator, and induced complex Fermatean fuzzy Einstein hybrid geometric aggregation (I-CFFEHGA) operator along with their structure properties, such as idempotency, boundedness and monotonicity. An illustrative example related to the selection of the more suitable location for hospital is to be considered to show the effectiveness and efficiency of the novel approach.
期刊介绍：
Soft Computing is dedicated to system solutions based on soft computing techniques. It provides rapid dissemination of important results in soft computing technologies, a fusion of research in evolutionary algorithms and genetic programming, neural science and neural net systems, fuzzy set theory and fuzzy systems, and chaos theory and chaotic systems.
Soft Computing encourages the integration of soft computing techniques and tools into both everyday and advanced applications. By linking the ideas and techniques of soft computing with other disciplines, the journal serves as a unifying platform that fosters comparisons, extensions, and new applications. As a result, the journal is an international forum for all scientists and engineers engaged in research and development in this fast growing field.
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