Linguistic information processing exists in multi-criteria decision making, and linguistic truth-valued lattice implication algebra (LTV-LIA) has definite advantages in handling comparable and incomparable linguistic values. To deal with the preference relations with linguistic evaluation information, we establish a novel approach for solving fuzzy multi-criteria decision problem under linguistic information based on LTV-LIA. In this paper, we propose linguistic lattice-valued preference relation (LLVPR). LLVPR positive and negative matrixes are introduced to evaluate the advantages and disadvantages of alternatives respectively. In order to get a reasonable result, we introduce a new algorithm to check and repair the consistency of a LLVPR. A linguistic lattice-valued 2-tuple representation model (LLV2-tuple) and some new aggregation operations are presented to get the comprehensive linguistic information without information loss. Considering different decision makers have different preferences, a multiple preferences implication operation of LLV2-tuple is introduced. Finally, we propose a novel linguistic analytic hierarchy process embedded in aggregation layer and implication layer, introducing algorithm and numerical examples. A comparative analysis is adopted to illustrate the rationality.

语言信息处理存在于多准则决策中，语言真值格蕴涵代数（LTV-LIA）在处理可比较和不可比拟的语言值方面具有明显优势。针对语言评价信息的偏好关系，建立了一种基于LTV-LIA的语言信息下模糊多准则决策问题的求解方法。在本文中，我们提出了语言格值偏好关系（LLVPR）。引入LLVPR正负矩阵来分别评估替代方案的优缺点。为了获得合理的结果，我们引入了一种新的算法来检查和修复LLVPR的一致性。提出了一种语言格值二维元组表示模型（LLV2-tuple）和一些新的聚合运算，以获取综合的语言信息而不会造成信息丢失。考虑到不同的决策者具有不同的偏好，引入了LLV2元组的多重偏好蕴涵操作。最后，我们提出了一种新的语言分析层次结构方法，该方法嵌入在聚合层和蕴含层中，并介绍了算法和数值示例。通过比较分析来说明其合理性。我们提出了一种新的语言分析层次结构方法，该方法嵌入在聚合层和蕴含层中，并介绍了算法和数值示例。通过比较分析来说明其合理性。我们提出了一种新的语言分析层次结构方法，该方法嵌入在聚合层和蕴含层中，并介绍了算法和数值示例。通过比较分析来说明其合理性。