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Classification of trapezoidal bipolar neutrosophic number, de-bipolarization technique and its execution in cloud service-based MCGDM problem
Complex & Intelligent Systems ( IF 5.8 ) Pub Date : 2020-08-06 , DOI: 10.1007/s40747-020-00170-3
Avishek Chakraborty , Sankar Prasad Mondal , Shariful Alam , Arindam Dey

Neutrosophic set can deal with the uncertainties related to the information of any decision making problem in real life scenarios, where fuzzy set may fail to handle those uncertainties properly. In this study, we present the perception of trapezoidal bipolar neutrosophic numbers and its classification in different frame. We introduce the idea of disjunctive structures of trapezoidal bipolar neutrosophic numbers namely type-1 trapezoidal bipolar neutrosophic number, type-2 trapezoidal bipolar neutrosophic numbers, and type-3 trapezoidal bipolar neutrosophic number based on the perception of dependency among membership functions in neutrosophic set. In any neutrosophic decision-making problem, the decision maker uses the comparison of neutrosophic numbers to choose among alternatives solutions. Here, we introduce a ranking method, i.e., De-bipolarization scheme for trapezoidal bipolar neutrosophic number (TrBNN) using removal area technique. We also describe the utility of trapezoidal bipolar neutrosophic number and its appliance in a multi criteria group decision making problem (MCGDM) for distinct users in trapezoidal bipolar arena which is more ethical, precise and reliable in neutrosophic field.



中文翻译:

梯形双极中智数的分类,双极化技术及其在基于云服务的MCGDM问题中的执行

中智集可以处理与现实生活中任何决策问题信息相关的不确定性,其中模糊集可能无法正确处理这些不确定性。在这项研究中,我们介绍了梯形双极中智数字的感知及其在不同框架中的分类。我们基于中智体成员函数之间的依存关系,介绍了梯形双极中智数的分离结构的思想,即1型梯形双极中智数,2型梯形双极中智数和3型梯形双极中智数。在任何中智决策问题中,决策者都使用中智数的比较来选择解决方案。在这里,我们介绍一种排名方法,即 梯形双极中智数(TrBNN)的去双极化方案,采用去除面积技术。我们还描述了梯形双极中智号的实用性及其在梯形双极领域中不同用户的多标准组决策问题(MCGDM)中的应用,该问题在中智领域更为道德,准确和可靠。

更新日期:2020-08-06
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