Single-valued bipolar neutrosophic (SVbN) numbers are a distinctive set of the neutrosophic set on the real line. In decision making problem, SVbN-number has a great importance when human decision is based on both positive and negative thought. All membership functions (truth, indeterminacy, and falsity) of SVbN number are contained the positive and negative parts within the range of −1 to 0 and 0 to 1. In this article, we have defined the possibilistic ranking method of single valued bipolar neutrosophic numbers. The notions of possibilistic mean and SD of SVbN number are introduced here. A new approach possibilistic multiattribute decision making is developed according to the possibilistic mean and SD. In addition, we have invented possibilistic multiattribute decision making on water resource management problem under bipolar neutrosophic environment. Finally, a numerical example is considered with single-valued trapezoidal bipolar neutrosophic informations to show the pertinence and implementation of the proposed possibilistic decision making method.

中文翻译：

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单值双极中智环境下水资源管理问题的可能多属性决策

单值双极中智 (SVbN) 数是实线中中智集的独特集合。在决策问题中，当人类决策基于积极和消极的想法时，SVbN 数具有重要意义。SVbN数的所有隶属函数（真、不确定、假）都包含在-1到0和0到1范围内的正负部分。在本文中，我们定义了单值双极中智的可能性排序方法数字。这里介绍了 SVbN 数的可能均值和SD的概念。根据可能性均值和标准差发展了一种新的可能性多属性决策方法. 此外，我们发明了双极中智环境下水资源管理问题的可能多属性决策。最后，以单值梯形双极中智信息为例，说明了所提出的可能决策方法的针对性和可实施性。