Open AccessA solution approach to fully fuzzy linear fractional programming problems
Author(s) -
T. Loganathan,
K. Ganesan
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1377/1/012040
Subject(s) - linear fractional programming , fractional programming , fuzzy number , parametric programming , linear programming , mathematics , mathematical optimization , fuzzy logic , fuzzy set operations , parametric statistics , ranking (information retrieval) , computer science , nonlinear programming , fuzzy set , artificial intelligence , nonlinear system , statistics , physics , quantum mechanics
In this paper, we propose a method of solving the fully fuzzy linear fractional programming problems, Express all the parameters and variables are triangular fuzzy numbers. Convert all the triangular fuzzy numbers in their parametric form, we convert the fractional programming problem in to a single objective linear programming problem in parametric form. We put new fuzzy arithmetic and fuzzy ranking, we obtain the optimal solution the given fully fuzzy linear fractional programming problem without converting to its equivalent crisp linear programming problem. A numerical example is provided to illustrate the efficiency of the proposed method.