Weakly fuzzy efficient conditions for multiobjective fractional programming problem

Article type: Research Article

Authors: Singh, Pitam

Affiliations: Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, Uttar Pradesh, India

Note: [] Corresponding author. Pitam Singh, Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad-211004, Uttar Pradesh, India. Tel.: +91 5322271254; E-mails: pitams@mnnit.ac.in; pitamsn@gmail.com

Abstract: It is the purpose of this article to establish some weakly fuzzy efficient conditions for multiobjective linear fractional programming problem (MOFP) under generalized convexity. Osuna et al., [27] derived some results regarding the optimality and duality properties for multiobjective fractional programming in classical sense. In this article, an equivalent fuzzy multiobjective fractional programming problem is formulated by using fuzzy goal and tolerance limits for each objective functions. Some weakly efficient criteria for MOFP are established with fuzzy membership functions parallel to Osuna et al., [27].

Keywords: Fuzzy optimality conditions, Multiobjective fractional programming, Generalized convexity

DOI: 10.3233/IFS-130824

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1383-1392, 2014