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  Advances in Fuzzy Sets and Systems  
 ISSN: 0973-421X
 
 
 

     Advances in Fuzzy Sets and Systems
    Volume 4, Issue 3, Pages 293 - 299 (October 2009)


INTERACTIVE STABILITY OF MULTIOBJECTIVE NONLINEAR PROGRAMMING PROBLEMS WITH FUZZY PARAMETERS

Ziad A. Kanaya (Saudi Arabia)

Received April 8, 2009

References:



[1] D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Application, Academic Press, New York, 1980.

[2] M. M. Elshafei, Interactive stability of multiobjective integer nonlinear programming problems, Appl. Math. Comput. 176 (2006), 230-236.

[3] A. M. Geoffrion, J. S. Dyer and A. Feinberg, An interactive approach for multicriterion optimization with an application to the operation of an academic department, Management Sci. 19 (1972), 357-368.

[4] M. Kassem, Interactive stability of multiobjective nonlinear programming problems with fuzzy parameters in the constraints, Fuzzy Sets and Systems 73 (1995), 235-243.

[5] C. Mohan and H. T. Nguyen, Reference direction interactive method for solving multiobjective fuzzy programming problems, Eur. J. Oper. Res. 107 (1998), 599-613.

[6] S. Orlovski, Multiobjective programming problems with fuzzy parameters, Control Cybernet. 13 (1984), 175-183.

[7] M. Osman, Qualitative analysis of basic notions in parametric convex programming. I. Parameters in the constraints, Apl. Mat. 22 (1977), 318-332.

[8] M. Osman, Qualitative analysis of basic notions in parametric convex programming. II. Parameters in the objective function, Apl. Mat. 22 (1977), 333-348.

[9] M. Osman and A. El-Banna, Stability of multiobjective nonlinear programming problems with fuzzy parameters, Math. Comput. Simulation 35 (1993), 321-326.

[10] R. Rockafellar, Duality and stability in extremum problems involving convex functions, Pacific J. Math. 21 (1967), 167-187.

[11] M. Sakawa and H. Yano, Interactive decision making for multiobjective nonlinear programming problems with fuzzy parameters, Fuzzy Sets and Systems 29 (1989), 315-326.

[12] H. Tanaka and K. Asai, Fuzzy linear programming problems with fuzzy numbers, Fuzzy Sets and Systems 13 (1984), 1-10.

Keywords and phrases: fuzzy multiobjective nonlinear programming, fuzzy parameters, fuzzy numbers, a-Pareto optimality, stability set.

 


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