International Journal of Mathematics Trends and Technology
Volume 53 | Number 7 | Year 2018 | Article Id. IJMTT-V53P562 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P562
In this Paper Multi-objective Intuitionistic Fuzzy Non-linear Programming Problem has been solved through goal programming approach. Solving non-linear programming problem straightaway is quite difficult. So, the Multi-objective Intuitionistic Fuzzy Non-linear Programming Problem is transformed into Multi-objective Intuitionistic Fuzzy Linear Programming Problem by the use of Taylor Polynomial Series. Intuitionistic fuzzy goal programming approach is discussed by forming suitable membership and non-membership function in which the aspiration level and the tolerance levels are fixed by the decision maker or by finding the best and worst solution of each objective function. Using the membership and non-membership function of each objective, the given problem was formulated and the solutions are found by various approaches and the obtained solutions are identical. Numerical example will illustrate the efficiency of the proposed approach.
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S.Rukmani, R.Sophia Porchelvi, "Goal Programming Approach to Solve Multi-Objective Intuitionistic Fuzzy Non- Linear Programming Models," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 7, pp. 505-514, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P562
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