An Iterative Fuzzy Goal Programming Method to Solve Fuzzified Multiobjective Fractional Programming Problems

  • Mousumi Kumar
  • Shyamal Sen
  • Bijay Baran Pal
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 248)


This paper presents a fuzzy goal programming (FGP) approach for modeling and solving multiobjective fractional programming problems (MOFPPs) with fuzzy numbers parameter sets. In the proposed approach, first the notion of α-cut in fuzzy sets (FSs) is used to transform a problem into conventional MOFPP by using the tolerance membership functions in FSs. In model formulation, membership functions are converted into fuzzy goals for measuring the degree of satisfaction of decision maker (DM) with the solution for achievement of fuzzily described objectives of the problem. In the solution process, an iterative parametric method is addressed within the framework of minsum FGP model to reach the highest membership value (unity) to the extent possible in the decision making environment. The efficiency of the proposed approach is illustrated by a numerical example. The model solution is also compared with the solution obtained by using other approaches studied previously.


Fractional programming Fuzzy Goal programming Iterative parametric method Membership functions Triangular fuzzy number 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of MathematicsAlipurduar CollegeAlipurduar CourtIndia
  2. 2.Department of MathematicsB.K.C. CollegeKolkataIndia
  3. 3.Department of MathematicsUniversity of KalyaniKalyaniIndia

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