Abstract
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.
Highlights
The concept of intuitionistic fuzzy sets (IFSs) [1,2] has been utilized to deal with uncertainty and imprecision
dual Hamy mean (DHM) operators to solve the MADM for evaluating the elderly tourism service quality in tourism destination with interval-valued intuitionistic fuzzy numbers (IVIFNs)
In practical MADM, it is important to pay attention to attribute weights; we propose the interval-valued intuitionistic weighted Dombi DHM (IVIFWDDHM) operator
Summary
The concept of intuitionistic fuzzy sets (IFSs) [1,2] has been utilized to deal with uncertainty and imprecision. Xu [4] introduced a method for the comparison between two intuitionistic fuzzy numbers (IFNs) and develop some arithmetic aggregation operators. Wei [7] proposed two new aggregation operators: the induced intuitionistic fuzzy ordered weighted geometric (I-IFOWG). Wei [8] developed the gray relational analysis (GRA) for interval-valued intuitionistic fuzzy MADM with incompletely known attribute weight information. Gave the principal component analysis (IVIF-PCA) model for IVIFNs. Chen [21] proposed the interval-valued intuitionistic fuzzy preference ranking organization method for enrichment evaluations (IVIF-PROMETHEE) to deal with MADM. The purpose of this paper is to propose some HM and DHM operators to solve the MADM for evaluating the elderly tourism service quality in tourism destination with IVIFNs. In order to do so, the rest of this paper is organized as follows.
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