{"title":"T2IFS上的一种交互式加权几何聚集算子","authors":"N. Annapurna, V. Sireesha","doi":"10.1142/s179300572450042x","DOIUrl":null,"url":null,"abstract":"Type 2 intuitionistic fuzzy sets (T2IFS) appear to be an attractive and potentially useful tool for coping with uncertainty and inaccurate data in today’s uncertain and ambiguous world. Consequently, it is frequently employed in decision-making (DM) issues. In the DM procedure, it is essential to aggregate the information provided by the experts. The Aggregation operators (AOs) are effective information combining tools. Therefore, this study aims on developing geometric and interactive geometric AOs on T2IFSs. To demonstrate the efficacy of the proposed operator, the optimal e-learning tool selection MCDM problem is solved. The results demonstrate that the proposed interactive AO outperforms existing arithmetic AOs and is applicable to all DM problems.","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Interactive Weighted Geometric Aggregation Operator on T2IFS\",\"authors\":\"N. Annapurna, V. Sireesha\",\"doi\":\"10.1142/s179300572450042x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Type 2 intuitionistic fuzzy sets (T2IFS) appear to be an attractive and potentially useful tool for coping with uncertainty and inaccurate data in today’s uncertain and ambiguous world. Consequently, it is frequently employed in decision-making (DM) issues. In the DM procedure, it is essential to aggregate the information provided by the experts. The Aggregation operators (AOs) are effective information combining tools. Therefore, this study aims on developing geometric and interactive geometric AOs on T2IFSs. To demonstrate the efficacy of the proposed operator, the optimal e-learning tool selection MCDM problem is solved. The results demonstrate that the proposed interactive AO outperforms existing arithmetic AOs and is applicable to all DM problems.\",\"PeriodicalId\":44835,\"journal\":{\"name\":\"New Mathematics and Natural Computation\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-11-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"New Mathematics and Natural Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/s179300572450042x\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"New Mathematics and Natural Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s179300572450042x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
An Interactive Weighted Geometric Aggregation Operator on T2IFS
Type 2 intuitionistic fuzzy sets (T2IFS) appear to be an attractive and potentially useful tool for coping with uncertainty and inaccurate data in today’s uncertain and ambiguous world. Consequently, it is frequently employed in decision-making (DM) issues. In the DM procedure, it is essential to aggregate the information provided by the experts. The Aggregation operators (AOs) are effective information combining tools. Therefore, this study aims on developing geometric and interactive geometric AOs on T2IFSs. To demonstrate the efficacy of the proposed operator, the optimal e-learning tool selection MCDM problem is solved. The results demonstrate that the proposed interactive AO outperforms existing arithmetic AOs and is applicable to all DM problems.