Title: Goal attainment method and Taylor series approximation to solve multi-objective linear fractional programming problem
Authors: Suvasis Nayak; A.K. Ojha
Addresses: School of Basic Sciences, Indian Institute of Technology Bhubaneswar, India ' School of Basic Sciences, Indian Institute of Technology Bhubaneswar, India
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.
Keywords: multi-objective linear fractional programming; Pareto optimal solutions; Taylor series approximation; goal attainment method; fuzzy programming; fuzzy max-min operator.
International Journal of Mathematical Modelling and Numerical Optimisation, 2015 Vol.6 No.3, pp.235 - 249
Received: 16 Feb 2015
Accepted: 22 Jun 2015
Published online: 21 Sep 2015 *