两类不确定性二元语义Bonferroni集成算子及其决策应用

发布时间：2018-05-19 18:35

本文选题：不确定环境 + 区间二元语义　；参考：《安徽大学》2017年硕士论文

【摘要】：语言型多属性群决策问题已广泛的应用于信息检索、风险评估、感官评价、数据挖掘和社会选择等诸多领域中。二元语义表示模型由于其信息表达的准确性,较好的解释性,以及能够改善语言计算的求解过程等优势,已被广泛应用于语言决策,文字计算,语言计算模型等问题中。同时,由于现实决策问题的复杂性以及人类自身认知的局限性等原因,决策者在决策的过程中往往会出现犹豫不决的情况,无法给出确切的评价值。因此基于犹豫模糊环境下二元语义的相关研究引起了海内外学者们的普遍重视。为此,本文提出了两类不确定语言环境下的区间二元语义集成算子并将其运用到实际的多属性群决策问题中去,主要内容包括:(1)为了弥补现有语言信息在运算过程中不满足封闭性的缺陷,在Algebra型T-范数和S-范数的基础之上定义了一种新的区间二元语义运算规则。(2)考虑到决策信息的交叉影响作用,本文定义了区间二元语义值的BA(Bonferroni平均)算子及其相应的加权形式,在此基础之上,给出了组合形式区间二元语义值的加权BA算子的概念,研究了包括幂等性、单调性在内的数学性质并给出了相关证明。并讨论了一种基于C-IV2TLWBA算子不确定语言环境下的集成模型与方法,后备球员的评价实例表明所构建的模型是合理可行的。(3)考虑到人们在决策过程中经常出现的举棋不定的情形,本文做了进一步的研究:将区间值二元语义术语集拓展到犹豫模糊的环境中去,提出区间值犹豫模糊二元语义集的概念;同时考虑到属性值之间交叉影响作用,提出了区间值犹豫模糊二元语义BA算子及其加权形式,研究了它们的相关性质和几类特殊情况;针对决策者存在犹豫情况的语言型多属性群决策问题提出了一种基于IVHF2TLWBA算子和TOPSIS方法的决策模型,并将其应用到实际的人才筛选问题中去。
[Abstract]:Linguistic multi-attribute group decision making has been widely used in many fields, such as information retrieval, risk assessment, sensory evaluation, data mining and social selection. Binary semantic representation model has been widely used in language decision making, text computing and language computing models because of its advantages such as accuracy of information expression, better interpretation, and the ability to improve the solving process of language computing. At the same time, due to the complexity of the decision making problem and the limitation of human cognition, the decision makers often hesitate in the process of decision making, and can not give the exact evaluation value. Therefore, the research of binary semantics based on hesitant fuzzy environment has attracted the attention of scholars at home and abroad. In this paper, two kinds of interval binary semantic integration operators in uncertain language environment are proposed and applied to the practical multi-attribute group decision making problem. In order to make up for the lack of closeness in the operation of the existing language information, On the basis of Algebra type T- norm and S- norm, a new interval binary semantic operation rule is defined. Considering the cross effect of decision information, the BA(Bonferroni average operator of interval binary semantic value and its corresponding weighted form are defined in this paper. On this basis, the concept of weighted BA operator for the binary semantic value of interval in combinational form is given, and the mathematical properties including idempotent and monotonicity are studied and the relevant proofs are given. An integration model and method based on the uncertain language environment of C-IV2TLWBA operator is discussed. The evaluation example of backup players shows that the model is reasonable and feasible. In this paper, further research is done: the concept of interval valued binary semantic set is proposed by extending the set of interval-valued binary semantic terms to the environment of hesitant ambiguity, and the cross-influence of attribute values is also taken into account. In this paper, interval valued hesitation fuzzy binary semantic BA operators and their weighted forms are proposed, and their related properties and some special cases are studied. In this paper, a decision model based on IVHF2TLWBA operator and TOPSIS method is proposed for linguistic multi-attribute group decision making with hesitant decision makers, and it is applied to the actual problem of talent selection.
【学位授予单位】：安徽大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O225

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