| 梯形直觉模糊数排序方法及在多属性决策中应用 |
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| 引用本文： | 南江霞.梯形直觉模糊数排序方法及在多属性决策中应用[J].经济数学,2014(3):87-91. |
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| 作者姓名： | 南江霞 |
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| 作者单位： | 桂林电子科技大学 数学与计算科学学院,广西桂林541004 |
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| 基金项目： | 国家自然科学基金的资助（71101033,71461005）;广西自然科学基金的资助（2012GXNSFAA053013,2012GXNSFAA053002,2014GXNSFAAll8010）,中国博士后基金的资助（13R21414700,2013M540372） |
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| 摘 要： | 基于梯形直觉模糊数的值和模糊度两个特征,一类梯形直觉模糊数的排序方法被研究.首先,给出了梯形直觉模糊数的定义、运算法则和截集.其次,定义了梯形直觉模糊数关于隶属度和非隶属度的值和模糊度,以及值的指标和模糊度的指标.最后,给出了梯形直觉模糊数的排序方法,并将其应用到属性值为梯形直觉模糊数的多属性决策问题中.
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| 关 键 词： | 梯形直觉模糊数 梯形直觉模糊数的排序 多属性决策 |
A Ranking Method of Trapezoidal Intuitionistic Fuzzy Numbers and the Application to Decision Making |
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| NAN Jiang-xia.A Ranking Method of Trapezoidal Intuitionistic Fuzzy Numbers and the Application to Decision Making[J].Mathematics in Economics,2014(3):87-91. |
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| Authors: | NAN Jiang-xia |
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| Institution: | NAN Jiang-xia (School of Mathematics and Computing Science ,Guilin University of Electronic Technology , Guilin, Guangxi 541004,China ) |
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| Abstract: | The ranking of trapezoidal intuitionistic fuzzy numbers （TIFNs）was solved by the value and ambiguity based ranking method developed in this paper.Firstly,the concept of TIFNs was introduced,and arithmetic operations and cut sets over TIFNs were investigated.Then,the values and ambiguities of the membership degree and the non-membership degree for TIFNs were defined as well as the value-index and ambiguity-index.Finally,a value and ambiguity based ranking method was developed and applied to solve multiattribute decision making problems in which the ratings of alternatives on attributes were expressed using TIFNs.A numerical example was examined to demonstrate the implementation process and applicability of the method proposed. |
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| Keywords: | trapezoidal intuitionistic fuzzy number ranking of trapezoidal intuitionistic fuzzy numbers multiattribute decision making |
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