Abstract—The paper aims to give computational algorithm to solve a multi objective linear programming problem using intuitionistic fuzzy optimization method. It also includes some basic properties of intuitionistic fuzzy set and operations on it. The development of algorithm is based on principle of optimal decision set obtained by intersection of various intuitionistic fuzzy decision sets which are obtained corresponding to each objective function. Further, as the intuitionistic fuzzy optimization technique utilizes degree of belonging and degree of non-belonging, we made a comparative study of linear and nonlinear membership function for belonging and non-belonging to see its impact on optimization and to get insight in such optimization process. The developed algorithm has been illustrated by a numerical example.
Index Terms—Intuitionistic fuzzy set, multi objective linear programming, membership function, non-membership function.
The authors are with the Department of Mathematics, Banaras Hindu University, Varanasi- 221005, India (e-mail: singh_shivaraj@rediffmail.com, skmaths.bhu@gmail.com).
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Cite:S. K. Bharati and S. R. Singh, "Solving Multi Objective Linear Programming Problems Using Intuitionistic Fuzzy Optimization Method: A Comparative Study," International Journal of Modeling and Optimization vol. 4, no. 1, pp. 10-16, 2014.
