Some Interval-Valued Intuitionistic Fuzzy Dombi Hamy Mean Operators and Their Application for Evaluating the Elderly Tourism Service Quality in Tourism Destination

• Main Authors: Liangping Wu, Guiwu Wei, Hui Gao, Yu Wei
• Format: Article
• Language: English
• Published: MDPI AG 2018-12-01
• Series: Mathematics
• Subjects: multiple attribute decision making (MADM); interval-valued intuitionistic fuzzy numbers (IVIFNs); interval-valued intuitionistic fuzzy weighted Dombi Hamy mean (IVIFWDHM) operator; interval-valued intuitionistic fuzzy weighted dual Dombi Hamy mean (IVIFWDDHM) operator; elderly tourism service quality; tourism destination
• Online Access: https://www.mdpi.com/2227-7390/6/12/294

In this paper, we expand the Hamy mean (HM) operator and Dombi operations with interval-valued intuitionistic fuzzy numbers (IVIFNs) to propose the interval-valued intuitionistic fuzzy Dombi Hamy mean (IVIFDHM) operator, interval-valued intuitionistic fuzzy weighted Dombi Hamy mean (IVIFWDHM) operator, interval-valued intuitionistic fuzzy dual Dombi Hamy mean (IVIFDDHM) operator, and interval-valued intuitionistic fuzzy weighted dual Dombi Hamy mean (IVIFWDDHM) operator. Then the MADM models are designed with IVIFWDHM and IVIFWDDHM operators. Finally, we gave an example for evaluating the elderly tourism service quality in tourism destination to show the proposed models.