[1] Xu Zeshui, Da Qingli,. Linguistic approaches to multiple attribute decision makingin uncertain linguistic setting [J]. Journal of Southeast University (English Edition), 2004, 20 (4): 482-485. [doi:10.3969/j.issn.1003-7985.2004.04.018]
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Linguistic approaches to multiple attribute decision makingin uncertain linguistic setting(
)
不确定语言环境下的多属性决策方法
)Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]
- Volumn:
- 20
- Issue:
- 2004 4
- Page:
- 482-485
- Research Field:
- Economy and Management
- Publishing date:
- 2004-12-30
Info
- Title:
- Linguistic approaches to multiple attribute decision makingin uncertain linguistic setting
- 不确定语言环境下的多属性决策方法
- Author(s):
- Xu Zeshui; Da Qingli
- College of Economics and Management, Southeast University, Nanjing 210096, China
- Keywords:
- aggregation; multiple attribute decision making; EULA operator; ILA operator; operational laws
- PACS:
- C934
- DOI:
- 10.3969/j.issn.1003-7985.2004.04.018
- Abstract:
- We study multiple attribute decision-making problems with uncertain linguistic information, in which the preference values take the form of uncertain linguistic variables. We introduce some operational laws of uncertain linguistic variables and a formula for the comparison between two uncertain linguistic variables. We propose two new aggregation operators called extended uncertain linguistic aggregation(EULA)operator and interval linguistic aggregation(ILA)operator, and then develop an EULA operator-based linguistic approach and an ILA operator-based linguistic approach, respectively, to multiple attribute decision making in uncertain linguistic setting. The approaches are straightforward and do not produce any loss of information. Finally, an illustrative example is given to verify the developed approaches and to demonstrate their practicality and effectiveness.
- 研究了偏好值以不确定语言变量形式给出的多属性决策问题. 介绍了不确定语言变量的运算法则, 给出了不确定语言变量之间两两比较的可能度公式, 提出了2种新的数据信息集成算子拓展的不确定语言集成(EULA)算子和区间语言集成(ILA)算子, 并且分别提出了基于EULA算子和基于ILA算子的不确定语言环境下的多属性决策方法. 这2种方法不仅简洁、易懂, 而且在运算过程中不会丢失任何决策信息. 最后, 通过算例对2种方法的实用性和有效性进行了说明.
References:
[1] Zadeh L A, Kacprzyk J. Computing with words in information/intelligent systems—part 1: foundations; part 2: applications [M]. Heidelberg, Germany: Physica-Verlag, 1999.
[2] Xu Z S. Uncertain multiple attribute decision making: methods and applications [M]. Beijing: Tsinghua University Press, 2004.(in Chinese)
[3] Herrera F, Herrera-Viedma E. Linguistic decision analysis: steps for solving decision problems under linguistic information [J]. Fuzzy Sets and Systems, 2000, 115(1): 67-82.
[4] Degani R, Bortolan G. The problem of linguistic approximation in clinical decision making [J]. International Journal of Approximate Reasoning, 1988, 2(2): 143-162.
[5] Chang P, Chen Y. A fuzzy multicriteria decision making method for technology transfer strategy selection in biotechnology [J]. Fuzzy Sets and Systems, 1994, 63(2): 131-139.
[6] Herrera F, Martínez L. An approach for combining linguistic and numerical 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.
[7] Xu Z S. A method based on linguistic aggregation operators for group decision making with linguistic preference relations [J]. Information Sciences, 2004, 166(1): 19-30.
Memo
- Memo:
- Biographies: Xu Zeshui(1968—), male, doctor, professor; Da Qingli(corresponding author), male, professor, dql@public1.ptt.js.cn.