Affiliations: Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, Uttar Pradesh, India
Correspondence:
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Corresponding author. Pitam Singh, Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad - 211004, Uttar Pradesh, India. Tel.: +91 5322271258; E-mails: [email protected], [email protected].
Abstract: This paper presents a fuzzy parameter based iterative method for solving multi-objective linear fractional optimization problems. Using the proposed method, number of ε-fuzzy efficient and fuzzy efficient solutions can be generated. The obtained fuzzy efficient solutions or ε-fuzzy efficient solutions have some addition features in terms of percentage contribution of each objective. The relative importance of each objective can be found in terms of satisfaction degree, value of membership function at the obtained solution, for each objective. Some theoretical results are also established for the validation of the proposed method and the method is coded in matlab (version R2014b). The efficiency of the method is verified by applying on numerical problems.
