Interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters

This paper considers the two‐level linear fractional programming problem with fuzzy parameters, which includes the ambiguity of the human expert concerned with formulation of the problem, and proposes an interactive fuzzy programming procedure to cope with the problem. The proposed procedure is as f...

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Bibliographic Details
Published in:Electronics & communications in Japan. Part 3, Fundamental electronic science Vol. 83; no. 10; pp. 82 - 90
Main Authors: Sakawa, Masatoshi, Nishizaki, Ichiro, Uemura, Yoshio, Kubota, Keiichi
Format: Journal Article
Language:English
Published: New York John Wiley & Sons, Inc 01.10.2000
Subjects:
fuzzy goal
fuzzy parameter
fuzzy programming
interactive process
two-level linear fractional programming
ISSN:1042-0967, 1520-6440
Online Access:Get full text
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Summary:This paper considers the two‐level linear fractional programming problem with fuzzy parameters, which includes the ambiguity of the human expert concerned with formulation of the problem, and proposes an interactive fuzzy programming procedure to cope with the problem. The proposed procedure is as follows. The fuzzy goal is specified for the objective function for the decision‐maker at each level. The minimum tolerance for satisfaction is defined subjectively by the decision‐maker at the upper level. The satisfaction ratio between the levels is considered, and the minimum tolerance of the decision‐maker is modified interactively, if necessary. Then, the satisficing solution is efficiently derived, achieving the balance between the satisfactions at different levels, while emphasizing the intention of the decision‐maker at the upper level. Lastly, the validity and the effectiveness of the proposed method are shown by numerical examples. © 2000 Scripta Technica, Electron Comm Jpn Pt 3, 83(10): 82–90, 2000
Bibliography:ArticleID:ECJC10
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ark:/67375/WNG-0MXHZ871-G
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:1042-0967
1520-6440
DOI:10.1002/(SICI)1520-6440(200010)83:10<82::AID-ECJC10>3.0.CO;2-R