Solution of Multi-Objective Linear Programming Problems in Intuitionistic Fuzzy Environment

Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 236)


In the paper, we give a new method for solution of multi-objective linear programming problem in intuitionistic fuzzy environment. The method uses computation of the upper bound of a non-membership function in such way that the upper bound of the non-membership function is always less than the upper bound of the membership function of intuitionistic fuzzy number. Further, we also construct membership and non-membership function to maximize membership function and minimize non-membership function so that we can get a more efficient solution of a probabilistic problem by intuitionistic fuzzy approach. The developed method has been illustrated on a problem, and the result has been compared with existing solutions to show its superiority.


Multi-objective programming Positive ideal solution Intuitionistic fuzzy sets Intuitionistic fuzzy optimization 



Authors are thankful to University Grants Commission (UGC), Government of India, for financial support to carry out this research work.


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Copyright information

© Springer India 2014

Authors and Affiliations

  1. 1.Department of MathematicsBanaras Hindu UniversityVaranasiIndia

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