On Solving Multi-Objective Fractional Linear Programming Problem with
Intuitionistic Fuzzy Coefficients
Abstract
In this paper, an approach for solving the Intuitionistic Fuzzy
Multi-Objective Linear Fractional Programming Problem (IFMOLFPP) has
been presented. The coefficients of objective functions, resources, and
all the technological coefficients are taken to be a triangular
intuitionistic fuzzy number (TIFN). In this paper, a component-wise
optimization method has been adopted to handle the impreciseness. First,
each intuitionistic fuzzy fractional objective is transformed into an
equivalent crisp multiple fractional objectives, and then using the
fuzzy programming approach, an optimal solution is obtained for every
intuitionistic fuzzy fractional objective. Then, the optimal solution of
each individual intuitionistic fuzzy fractional objective is used to
transform it into a corresponding intuitionistic fuzzy linear objective
and thus the original problem now transforms to Multi-Objective
Intuitionistic fuzzy LPP which is further transformed into an
Intuitionistic Fuzzy LPP with a single objective and the problem is then
solved by using component-wise optimization and fuzzy goal programming
approach. A numerical example is also presented to explain the
methodology of the approach defined in this paper.