Mishra Arunodaya Raj, Chandel Ayushi, Saeidi Parvaneh
Department of Mathematics, Government College Jaitwara, Satna, Madhya Pradesh 485221 India.
Department of Computer Science & Engineering, ITM University, Gwalior, Madhya Pradesh 474001 India.
Environ Dev Sustain. 2022;24(5):7236-7282. doi: 10.1007/s10668-021-01746-w. Epub 2021 Sep 3.
Recently, the assessment and selection of most suitable low-carbon tourism strategy has gained an extensive consideration from sustainable perspectives. Owing to participation of multiple qualitative and quantitative attributes, the low-carbon tourism strategy (LCTS) selection process can be considered as multi-criteria decision-making (MCDM) problem. As uncertainty is usually occurred in LCTSs evaluation, the theory of interval-valued intuitionistic fuzzy sets (IVIFSs) has been established as more flexible and efficient tool to model the uncertain decision-making problems. The idea of the present study is to develop an extended method using additive ratio assessment (ARAS) framework and similarity measures in a way to find an effective solution to the decision-making problems using IVIFSs. The bases of the proposed method are the IVIFSs operators, some modifications in the traditional ARAS framework and a calculation procedure of the weights of the criteria. To calculate criterion weight, new similarity measures for IVIFSs are developed aiming at the achievement of more realistic weights. Also, a comparison is demonstrated to the currently used similarity measures in order to show the efficiency of the developed approach. To confirm that the developed IVIF-ARAS approach can be successfully employed to practical decision-making problems, a case study of LCTS selection problem is considered. The final results from the developed approach and the extant models are compared for the validation of the proposed approach in this study.
最近,从可持续发展的角度来看,最适合的低碳旅游战略的评估和选择受到了广泛关注。由于存在多个定性和定量属性,低碳旅游战略(LCTS)的选择过程可被视为多准则决策(MCDM)问题。由于LCTS评估中通常存在不确定性,区间值直觉模糊集(IVIFS)理论已成为一种更灵活、高效的工具,用于对不确定决策问题进行建模。本研究的思路是开发一种扩展方法,该方法使用加法比率评估(ARAS)框架和相似性度量,以便找到一种使用IVIFS解决决策问题的有效方法。该方法的基础是IVIFS算子、对传统ARAS框架的一些修改以及准则权重的计算程序。为了计算准则权重,开发了针对IVIFS的新相似性度量,旨在获得更现实的权重。此外,还对当前使用的相似性度量进行了比较,以展示所开发方法的有效性。为了确认所开发的IVIF-ARAS方法能够成功应用于实际决策问题,考虑了一个LCTS选择问题的案例研究。比较了所开发方法和现有模型的最终结果,以验证本研究中提出的方法。