基于相似性度量的双极单值中智多属性决策方法

Multiple-attribute Decision-making Based on Similarity Measures under Bipolar Neutrosophic Sets Environment

[目的/意义]针对现有双极单值中智信息环境中的相似度计算方法存在违反直觉的问题,提出了一种新的双极单值中智集相似性度量公式,并将其应用于智慧校园建设方案选择问题中,旨在提升决策结果的合理性与准确性。[方法/过程]首先,说明现有双极单值中智信息环境下中的相似性度量公式所存在的缺陷,提出一种新的双极单值中智集相似性度量公式,并证明其符合相似度的公理化定义;其次,通过将所提出相似性度量公式与现有相似性度量公式进行对比,说明所提出相似性度量公式的合理性与优越性;最后,提出了基于新的相似性度量公式的双极单值中智多属性决策方法,并通过算例分析验证该方法的合理性与有效性。[结果/结论]提出的双极单值中智集相似性度量公式弥补了现有相似性度量公式的缺陷,具有其合理性与优越性;提出的基于新的相似性度量公式的双极单值中智多属性决策方法具有其合理性与有效性。

[Purpose/significance] Aiming at the problem that the existing similarity calculation methods in the bipolar neutrosophic sets information environment violate intuition,the paper proposes a new similarity measurement formula of bipolar neutrosophic sets,and applies it to selection of smart campus construction scheme in order to improve the rationality and accuracy of decision-making results.[Method/process] Firstly,the paper explains defects of the existing similarity measurement formula in bipolar neutrosophic sets information environment,proposes a new similarity measurement formula of bipolar neutrosophic sets,and proves that it conforms to the axiomatic definition of similarity. Secondly,by comparing the proposed similarity measurement formula with the existing similarity measurement formula,it shows the rationality and superiority of the proposed similarity measurement formula. Finally,a bipolar neutrosophic sets multi-attribute decision-making method based on the new similarity measurement formula is proposed,and an example is given to verify the rationality and effectiveness of this method. [Result/conclusion]The results show that the bipolar neutrosophic sets similarity measurement formula proposed in the paper makes up for the defects of the existing similarity measurement formula,and has its rationality and superiority. The bipolar neutrosophic sets multi-attribute decision-making method based on the new similarity measurement formula has its rationality and effectiveness.