Goal attainment method and Taylor series approximation to solve multi-objective linear fractional programming problem Online publication date: Mon, 21-Sep-2015
by Suvasis Nayak; A.K. Ojha
International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO), Vol. 6, No. 3, 2015
Abstract: This paper illustrates the use of goal attainment method with Taylor series approximation to produce a set of Pareto optimal solutions of a multi-objective linear fractional programming problem (MOLFPP). The relative gap in between the aspired goal and the feasible objective space is minimised along different search directions by introducing several non-negative and normalised weight vectors. To justify the effectiveness of our proposed method, a practical problem with numerical example is solved and the results are compared with that of existing fuzzy max-min operator method.
Online publication date: Mon, 21-Sep-2015
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