FUZZY NONLINEAR OPTIMIZATION
Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 4, p. 230-235.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we define a fuzzy version of the quadratic optimization problem and then give a method to solve these problems by using linear ranking functions. The method will be discussed in details.
DOI : 10.22436/jnsa.001.04.05
Keywords: Fuzzy numbers, ranking function, quadratic programming.

NASSERI, S.H. 1

1 Department of Mathematics, Mazandaran University, Babolsar, Iran.
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NASSERI, S.H. FUZZY NONLINEAR OPTIMIZATION. Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 4, p. 230-235. doi : 10.22436/jnsa.001.04.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.001.04.05/

[1] Bazaraa, M.; Sherali, H.; Shetty, C. M. Nonlinear Programming: Theory and Algorithms, Third Edition, John Wiley, , 2006

[2] Bellman, R. E.; L. A. Zadeh Decision making in a fuzzy environment, Management Sci. , Volume 17 (1970), pp. 141-164 | DOI

[3] Bortolan, G.; Degani, R. A review of some methods for ranking fuzzy numbers, Fuzzy Sets and Systems , Volume 15 (1985), pp. 1-19 | DOI | Zbl

[4] Campos, L.; Verdegay, J. L. Linear programming problems and ranking of fuzzy numbers, Fuzzy Sets and Systems, Volume 32 (1989), pp. 1-11 | DOI

[5] Fortemps, P.; M. Roubens Ranking and defuzzification methods based on area compensation, Fuzzy Sets and Systems, Volume 82 (1996), pp. 319-330 | Zbl | DOI

[6] Klir, G. J.; B. Yuan Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice- Hall, PTR, New Jersey, 1995

[7] Lai, Y. J.; Hwang, C. L. Fuzzy Mathematical Programming Methods and Applications, Springer, Berlin, 1992

[8] Mahdavi-Amiri, N.; S. H. Nasseri Duality results and a dual simplex method for linear programming problems with trapezoidal fuzzy variables, Fuzzy Sets and Systems , Volume 158 (2007), pp. 1961-1978 | DOI | Zbl

[9] Mahdavi-Amiri, N.; Nasseri, S. H. Duality in fuzzy number linear programming by use of a certain linear ranking function, Applied Mathematics and Computation , Volume 180 (2006), pp. 206-216 | Zbl | DOI

[10] Maleki, H. R.; Tata, M.; Mashinchi, M. Linear programming with fuzzy variables, Fuzzy Sets and Systems , Volume 109 (2000), pp. 21-33 | DOI

[11] Tanaka, H.; Okuda, T.; Asai, K. On fuzzy mathematical programming, The Journal of Cybernetics, Volume 3 (1974), pp. 37-46

[12] Yager, R. R.; D. P. Filev Essentials of Fuzzy Modeling and Control, John Wiley and Sons, New York, 1994

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