[1] Xu Zeshui, Da Qingli,. Method based on fuzzy linguistic scale and FIOWGAoperator for decision-making problems [J]. Journal of Southeast University (English Edition), 2003, 19 (1): 88-91. [doi:10.3969/j.issn.1003-7985.2003.01.020]

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Method based on fuzzy linguistic scale and FIOWGAoperator for decision-making problems()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

19

Issue:

2003 1

Page:

88-91

Research Field:

Economy and Management

Publishing date:

2003-03-30

Info

Title:

Method based on fuzzy linguistic scale and FIOWGAoperator for decision-making problems

Author(s):

Xu Zeshui¹;  2;  Da Qingli¹

¹College of Economics and Management, Southeast University, Nanjing 210096, China
²Institute of Sciences, PLA University of Science and Technology, Nanjing 210007, China

Keywords:

fuzzy linguistic scale;  triangular fuzzy numbers;  FIOWGA operator

PACS:

C934

DOI:

10.3969/j.issn.1003-7985.2003.01.020

Abstract:

In this paper, we present a fuzzy linguistic scale, which is characterized by triangular fuzzy numbers on [1/9, 9], for the comparison between two alternatives, and introduce a possibility degree formula for comparing triangular fuzzy numbers. We utilize the fuzzy linguistic scale to construct a linguistic preference matrix, and propose a fuzzy induced ordered weighted geometric averaging(FIOWGA)operator to aggregate linguistic preference information. A method based on the fuzzy linguistic scale and FIOWGA operator for decision-making problems is presented. Finally, an illustrative example is given to verify the developed method and to demonstrate its feasibility and effectiveness.

References:

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[8] Yager R R, Filev D P. Induced ordered weighted averaging operators [J]. IEEE Transaction on Systems, Man, and Cybernetics, 1999, 29:141-150.
[9] Xu Z S, Da Q L. The uncertain OWA operator [J]. International Journal of Intelligent Systems, 2002, 17(6): 569-575.
[10] Xu Z S, Da Q L. The ordered weighted geometric averaging operators [J]. International Journal of Intelligent Systems, 2002, 17(7): 709-716.
[11] Xu Z S, Da Q L. Combined weighted geometric averaging operator and its application [J]. Journal of Southeast University(Nature Science Edition), 2002, 32(3): 506-509.(in Chinese)
[12] Yager R R, Kacprzyk J. The ordered weighted averaging operators: theory and applications[M]. Norwell, MA: Kluwer, 1997.
[13] Facchinetti G, Ricci R G, Muzzioli S. Note on ranking fuzzy triangular numbers [J]. International Journal of Intelligent Systems, 1998, 13(7): 613-622.

Memo

Memo:

Biographies: Xu Zeshui(1968—), male, associate professor; Da Qingli(corresponding author), male, professor, dql@public1.ptt.js.cn.

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