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基于关系的信任的数学定义及评价模型

Mathematical Definition and Evaluation Model of Trust Based on the Relationship

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【作者】 袁敏英高林庆哈明虎

【Author】 YUAN Min-ying1,2,GAO Lin-qing3,HA Ming-hu3(1.College of Management,Hebei University,Baoding 071002,China;2.Department of Mathematics and Information Science,Langfang Teacher’s College,Langfang 065000,China3.College of Mathematics and Computer Science,Hebei University,Baoding 071002,China;)

【机构】 河北大学管理学院廊坊师范学院数学与信息科学学院河北大学数学与计算机学院

【摘要】 针对目前组织合作中的信任定义及度量不统一,特别是信任没有精确的数学定义等问题,首先利用经典数学关系和模糊关系分别给出了客观信任和主观信任的数学定义和性质,然后根据经典关系与模糊关系的融合给出了基于客观信任优先的信任的数学定义及其度量的概念模型.借用模糊聚类的思想,构建了信任的评价模型.

【Abstract】 For the nonconformity of trust’s definition and metric in organizational cooperation,especially,the problems such as the lack of a precise mathematical definition,the mathematical definitions and properties of objective trust and subjective trust on the basis of classic relationship and fuzzy relationship in mathematics are given.Then,the mathematical definition of trust and the conceptual model of trust degree are deduced based on the superiority of objective trust,according to the combination of classic relationship and fuzzy relationship.At last the evaluation model of trust is founded by the use of the idea of fuzzy clustering.

【关键词】 客观信任主观信任信任信任评价
【Key words】 objective trustsubjective trusttrustevaluation of trust
【基金】 国家自然科学基金资助项目(60773062);河北省自然科学基金资助项目(2008000633)
  • 【文献出处】 河北大学学报(自然科学版) ,Journal of Hebei University(Natural Science Edition) , 编辑部邮箱 ,2010年03期
  • 【分类号】TP393.08
  • 【被引频次】1
  • 【下载频次】176
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