[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()

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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

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

Keywords:

trapezoid fuzzy linguistic variables;  degree of possibility;  multiple attribute decision making

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.

References:

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[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.
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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.

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