二元语义判断矩阵的一致性分析

二元语义分析方法是关于语言信息集结的新方法,它可以方便地进行语言的运算,并且可以避免在语言信息的集结过程中信息的损失和语言信息集结结果的不精确性.研究了二元语义判断矩阵的一致性问题.首先对二元语义的概念进行了描述,给出了关于二元语义比较的规则;然后在给出二元语义判断矩阵及其加性一致性和满意一致性等有关概念的基础上,提出了几种关于二元语义判断矩阵加性一致性和满意一致性的判定方法;分析了加性一致性和满意一致性的关系.最后给出了算例.

Consistency Analysis of Two-Tuple Linguistic Judgement Matrix

The two-tuple fuzzy linguistic representation model is a new approach to linguistic information aggregating,which make the aggregating result more precise and the language operation process easier and can avoid losing or distorting some of the original preference information in the process of aggregating linguistic information.The consistency of two-tuple linguistic judgement matrix is studied.Describing the definition of two-tuple,the rules to compare two different two-tuples are given.Several judgement approaches to the additivity consistency and satisfaction consistency of the two-tuple linguistic judgement matrix are introduced according to their concepts.Furthermore,the relationship between additivity and satisfaction consistencies is analyzed.An example is given to illustrate the use of the proposed approaches.