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几种具有复数区间值的直觉模糊 Hamy 均值算子及其在旅游服务质量评估中的应用。

Several intuitionistic fuzzy hamy mean operators with complex interval values and their application in assessing the quality of tourism services.

机构信息

Department of Mathematics, College of Science, Jazan University, New Campus, Jazan, Saudi Arabia.

Department of Information Technology and Security, College of Computer Science & Information Technology, Jazan University, Jazan, Saudi Arabia.

出版信息

PLoS One. 2024 Aug 5;19(8):e0305319. doi: 10.1371/journal.pone.0305319. eCollection 2024.

Abstract

In order to assess the quality of senior tourism services in vacation destinations, we examine complex interval valued intuitionistic Fuzzy Dombi Hamy Mean (CIVIFDHM) operators. These operators successfully manage imprecision and uncertainty in the preferences of senior tourists. However, the Hamy mean (HM) operator can identify the connections between various input data sets and produce excellent outcomes when combining and evaluating information. We illustrate their usefulness and efficacy through a case study, providing a strong instrument for improving service quality for senior citizens and promoting an inclusive and fulfilling travel experience. In this work, we develop the HM operator and Dombi operations with Complex interval valued intuitionistic fuzzy numbers (CIVIFNs). We recommend the CIVIFDHM operator, complex interval valued intuitionistic fuzzy weighted Dombi Hamy mean (CIVIFWDHM), complex interval valued intuitionistic fuzzy dual Dombi Hamy mean (CIVIFDDHM), and complex interval valued intuitionistic fuzzy weighted dual Dombi Hamy mean (CIVIFWDD) operators. Next, multiple attribute decision making (MADM) models are constructed with the help of CIVIFWDHM and CIVIFWDDHM operators. We provided an evaluation of an older tourism operator in a tourist area as an example to show the suggested models.

摘要

为了评估度假目的地的高级旅游服务质量,我们研究了复杂区间值直觉模糊 Dombi Hamy 均值(CIVIFDHM)算子。这些算子成功地管理了高级游客偏好中的不精确性和不确定性。然而,Hamy 均值(HM)算子可以识别各种输入数据集之间的联系,并在组合和评估信息时产生出色的结果。我们通过案例研究说明了它们的有用性和功效,为提高老年人的服务质量和促进包容和充实的旅行体验提供了有力的工具。在这项工作中,我们开发了具有复杂区间值直觉模糊数(CIVIFNs)的 HM 算子和 Dombi 算子。我们推荐使用 CIVIFDHM 算子、复杂区间值直觉模糊加权 Dombi Hamy 均值(CIVIFWDHM)、复杂区间值直觉模糊对偶 Dombi Hamy 均值(CIVIFDDHM)和复杂区间值直觉模糊加权对偶 Dombi Hamy 均值(CIVIFWDD)算子。接下来,借助 CIVIFWDHM 和 CIVIFWDDHM 算子构建了多属性决策(MADM)模型。我们提供了一个旅游区老年旅游经营者的评估示例,以展示所提出的模型。

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