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.

DOI: 10.1504/IJMMNO.2015.071872

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 *

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