|Table of Contents|

[1] Liang Xuechun, Chen Senfa,. Multiple attribute decision making methodbased on trapezoid fuzzy linguistic variables [J]. Journal of Southeast University (English Edition), 2008, 24 (4): 478-481. [doi:10.3969/j.issn.1003-7985.2008.04.016]
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Multiple attribute decision making methodbased on trapezoid fuzzy linguistic variables()
基于梯形模糊语言变量的多属性决策方法
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
24
Issue:
2008 4
Page:
478-481
Research Field:
Economy and Management
Publishing date:
2008-12-30

Info

Title:
Multiple attribute decision making methodbased on trapezoid fuzzy linguistic variables
基于梯形模糊语言变量的多属性决策方法
Author(s):
Liang Xuechun1;  2;  Chen Senfa1
1School of Economics and Management, Southeast University, Nanjing 210096, China
2College of Automation, Nanjing University of Technology, Nanjing 210009, China
梁雪春1;  2;  陈森发1
1东南大学经济管理学院, 南京 210096; 2南京工业大学自动化学院, 南京 210009
Keywords:
trapezoid fuzzy linguistic variables;  degree of possibility;  multiple attribute decision making
梯形模糊语言变量;  可能度;  多属性决策
PACS:
C934
DOI:
10.3969/j.issn.1003-7985.2008.04.016
Abstract:
The problem of multiple attribute decision making under fuzzy linguistic environments, in which decision makers can only provide their preferences(attribute values)in the form of trapezoid fuzzy linguistic variables(TFLV), is studied.The formula of the degree of possibility between two TFLVs is defined, and some of its characteristics are studied.Based on the degree of possibility of fuzzy linguistic variables, an approach to ranking the decision alternatives in multiple attribute decision making with TFLV is developed.The trapezoid fuzzy linguistic weighted averaging(TFLWA)operator method is utilized to aggregate the decision information, and then all the alternatives are ranked by comparing the degree of possibility of TFLV.The method can carry out linguistic computation processes easily without loss of linguistic information, and thus makes the decision results reasonable and effective.Finally, the implementation process of the proposed method is illustrated and analyzed by a practical example.
研究了决策者的偏好信息(属性值)为梯形模糊语言变量(TFLV)的模糊语言多属性决策问题.定义了2个梯形模糊语言变量比较的可能度公式并研究了它的一些基本性质, 给出了基于可能度公式的梯形模糊语言变量多属性决策的方案排序方法.这种方法通过对决策信息进行TFLWA算子加权集结, 并通过比较梯形模糊语言变量的可能度得到所有方案的排序结果.在不损失模糊语言信息的条件下, 该方法计算过程简单, 决策结果合理且有效.最后, 通过一个实例说明了该方法的操作过程.

References:

[1] Bordogna G, Fedrizzi M, Pasi G.A linguistic modeling of consensus in group decision making based on OWA operators[J].IEEE Transactions on Systems, Man, and Cybernetics—Part A, 1997, 27(1):126-132.
[2] Herrera F, Martínez L.An approach for combining numerical and linguistic information based on the 2-tuple fuzzy linguistic representation model in decision making[J].International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2000, 8(5):539-562.
[3] Li D F, Yang J B.Fuzzy linear programming technique for multi-attribute group decision making in fuzzy environments[J].Information Sciences, 2004, 158(1):263-275.
[4] Xu Z S.Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment[J].Information Sciences, 2004, 168(3):171-184.
[5] Xu Z S.Uncertain multiple attribute decision making:methods and applications[M].Beijing:Tsinghua University Press, 2004.(in Chinese)
[6] Zadeh L A.From computing with numbers to computing with words—from manipulation of measurements to manipulation of perceptions[J].International Journal of Applied Mathematics and Computer Science, 2002, 12(3):307-324.
[7] Xu Z S.Deviation measures of linguistic preference relations in group decision making[J].Omega, 2005, 33(3):249-254.
[8] Xu Z S.An approach based on similarity measure to multiple attribute decision making with trapezoid fuzzy linguistic variables[J].Fuzzy Systems and Knowledge Discovery, 2005, 3613(1):110-117.

Memo

Memo:
Biographies: Liang Xuechun(1969—), female, graduate, associate professor;Chen Senfa(corresponding author), male, professor, chensenfa@163.com.
Foundation item: 2008 Soft Science Program of Jiangsu Science and Technology Department(No.BR2008098).
Citation: Liang Xuechun, Chen Senfa.Multiple attribute decision making method based on trapezoid fuzzy linguistic variables[J].Journal of Southeast University(English Edition), 2008, 24(4):478-481.
Last Update: 2008-12-20