# A necessity measure optimization approach to linear programming problems with oblique fuzzy vectors

Kybernetika (2006)

- Volume: 42, Issue: 4, page 441-452
- ISSN: 0023-5954

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topInuiguchi, Masahiro. "A necessity measure optimization approach to linear programming problems with oblique fuzzy vectors." Kybernetika 42.4 (2006): 441-452. <http://eudml.org/doc/33816>.

@article{Inuiguchi2006,

abstract = {In this paper, a necessity measure optimization model of linear programming problems with fuzzy oblique vectors is discussed. It is shown that the problems are reduced to linear fractional programming problems. Utilizing a special structure of the reduced problem, we propose a solution algorithm based on Bender’s decomposition. A numerical example is given.},

author = {Inuiguchi, Masahiro},

journal = {Kybernetika},

keywords = {fuzzy linear programming; oblique fuzzy vector; necessity measure; Bender’s decomposition; fuzzy linear programming; oblique fuzzy vector; necessity measure; Bender's decomposition},

language = {eng},

number = {4},

pages = {441-452},

publisher = {Institute of Information Theory and Automation AS CR},

title = {A necessity measure optimization approach to linear programming problems with oblique fuzzy vectors},

url = {http://eudml.org/doc/33816},

volume = {42},

year = {2006},

}

TY - JOUR

AU - Inuiguchi, Masahiro

TI - A necessity measure optimization approach to linear programming problems with oblique fuzzy vectors

JO - Kybernetika

PY - 2006

PB - Institute of Information Theory and Automation AS CR

VL - 42

IS - 4

SP - 441

EP - 452

AB - In this paper, a necessity measure optimization model of linear programming problems with fuzzy oblique vectors is discussed. It is shown that the problems are reduced to linear fractional programming problems. Utilizing a special structure of the reduced problem, we propose a solution algorithm based on Bender’s decomposition. A numerical example is given.

LA - eng

KW - fuzzy linear programming; oblique fuzzy vector; necessity measure; Bender’s decomposition; fuzzy linear programming; oblique fuzzy vector; necessity measure; Bender's decomposition

UR - http://eudml.org/doc/33816

ER -

## References

top- Inuiguchi M., Necessity optimization in linear programming problems with interactive fuzzy numbers, In: Proc. 7th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty (H. Noguchi, H. Ishii and M. Inuiguchi, eds.), Awaji Yumebutai ICC, 2004, pp. 9–14
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- Inuiguchi M., Ramík, J., Tanino T., Oblique fuzzy vectors and their use in possibilistic linear programming, Fuzzy Sets and Systems 137 (2003), 1, 123–150 Zbl1026.90104MR1977539
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- Inuiguchi M., Tanino T., 10.1023/B:REOM.0000032118.34323.f2, Reliable Computing 10 (2004), 5, 357–367 Zbl1048.65062MR2063296DOI10.1023/B:REOM.0000032118.34323.f2
- Lasdon L. S., Optimization Theory for Large Systems, Macmillan, New York 1970 Zbl0991.90001MR0337317
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- Zimmermann H.-J., 10.1016/0020-0255(85)90025-8, Inform. Sci. 36 (1985), 1–2, 29–58 (1985) Zbl0578.90095MR0813764DOI10.1016/0020-0255(85)90025-8

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