In this study, a new score and distance function which provides more accurate results than the studies in the literature and considers the decision maker’s cognition has been proposed. In order to show the effects of the new score function coefficients on neutrosophic numbers, a new representation named “4D Plot” has been proposed. VIKOR (Vlse Kriterijumska Optimizacija Kompromisno Resenje which means multicriteria optimization and compromise solution in Serbian) method, which is based on the creation of a conciliatory solution within the framework of alternatives and evaluation criteria, provides highly effective results in multiple criteria decision-making problems. Neutrosophic numbers play an active role in facilitating the decision-making process in many studies. In this context, extension of the classical VIKOR method is introduced in detail in this study. The framework of the extended neutrosophic VIKOR method has been established. The proposed method has been applied to the renewable energy alternative selection problem in Turkey and compared with different methods and different scenarios. It has been shown that the proposed method gives more effective and accurate results. Furthermore, the sensitivity and accuracy of the study are enhanced by a sensitivity analysis. We have extended the classical VIKOR method for SVN numbers with a newly generalized score function and a distance measure. As a novel and newly presentation named “The 4D Plot” has been developed and applied in this paper to SVN numbers for presenting the effect of the new score function. The renewable energy alternative selection was made in Turkey with the proposed method by the opinions of the experts and the ranking of the alternatives was obtained. A sensitivity analysis has been made to show the accuracy and validity of the study. With the proposed distance measure and score function, it is shown that more accurate results can be found in multiple criteria decision-making problems. The model will provide solutions for many soft computing problems such as engineering and economy by finding more effective and accurate results in the neutrosophic number space according to the preference of decision makers. As a future work, the presented functions and framework can be adapted to different MCDM problems.

在这项研究中，提出了一种新的得分和距离函数，该函数比文献中的研究提供了更准确的结果，并考虑了决策者的认知。为了显示新的得分函数系数对中智数字的影响，提出了一种新的表示形式，称为“ 4D图”。VIKOR（Vlse Kriterijumska Optimizacija Kompromisno Resenje，在塞尔维亚语中是指多标准优化和折衷解决方案）方法，该方法基于在替代方案和评估标准框架内创建和解解决方案，可为多标准决策问题提供高效的结果。在许多研究中，中智数字在促进决策过程中起着积极作用。在这种情况下，本研究详细介绍了经典VIKOR方法的扩展。建立了扩展的中智VIKOR方法的框架。所提出的方法已应用于土耳其的可再生能源替代选择问题，并与不同的方法和不同的方案进行了比较。已经表明，所提出的方法给出了更有效和准确的结果。此外，通过敏感性分析可提高研究的敏感性和准确性。我们使用新的广义得分函数和距离度量扩展了SVN数字的经典VIKOR方法。作为名为“ 4D图”的新颖新颖表示法，已经开发并在本文中应用于SVN数字，以表示新得分函数的效果。在专家的意见下，土耳其采用建议的方法对可再生能源替代方案进行了选择，并获得了替代方案的排名。进行了敏感性分析以显示研究的准确性和有效性。通过提出的距离测量和得分函数，可以证明在多准则决策问题中可以找到更准确的结果。该模型将根据决策者的偏好，在中智数字空间中找到更有效和准确的结果，从而为工程和经济等许多软计算问题提供解决方案。作为将来的工作，提出的功能和框架可以适应不同的MCDM问题。