Subscribe

Subscribe to our Newsletter and get informed about new publication regulary and special discounts for subscribers!

BMSA > Volume 2 > A Simple Approach for Finding a Fair Solution to...
< Back to Volume

A Simple Approach for Finding a Fair Solution to Multiobjective Programming Problems

Full Text PDF

Abstract:

A new approach, namely sum of objectives (SO) method is proposed to finding a fair solution to multi-objective programming problems. The proposed method is very simple, easy to use and understand and also, common approaches. It is illustrated with the help of numerical examples. The fair solution serves more better than efficient solution for decision makers when they are handling multiple objective decision making problems.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 2)
Pages:
21-25
Citation:
P. Pandian "A Simple Approach for Finding a Fair Solution to Multiobjective Programming Problems", Bulletin of Mathematical Sciences and Applications, Vol. 2, pp. 21-25, 2012
Online since:
Nov 2012
Authors:
Export:
Distribution:
References:

V. Chankong and Y.Y. Haimes, Multi-objective Decision Making Theory and Methodology, North-Holland, New York, (1983).

Ebrahim A. Youness, A direct approach for finding all efficient solutions for multiobjective programming problems, European Journal of Operational Research, 81, 1995, 440-443.

A.M. Goeffrion, Proper efficiency and the theory of vector maximization, J. Math. Anal. Appl., 22, 1968, 618-630.

R.T. Marler and J.S. Arora, Survey of multi-objective optimization methods for engineering, Struct. Multidisc. Optim., 26, 2004, 369-395.

K. Miettinen, Nonlinear multi-objective optimization, Kluwer Academic Publishers, Boston, (1999).

V. Pareto, Manuale di economica politica, Societa Editrice Libraria, Milan, (1906).

P. Pandian and G. Natarajan, A new method for finding an optimal solution for transportation problems, Int. J. of Math. Sci. & Engg. Appls., 4 , 2010, 59-65.

S. Ruzika and M. M. Wiecek, Approximation methods in multi-objective programming, Journal of Optimization Theory and Applications, 126, 2005, 473-501.

T.L. Vincent and W.J. Grantham, Optimality in parametric systems, John Wiley and Sons, New York, (1981).

Waiel F. Abd and El-Wahed, A multi-objective transportation problem under fuzziness, Fuzzy Sets and Systems, 117, 2001, 27-33.

Show More Hide