Solving fuzzy linear programming problems with modified S-curve membership function

Authors:
Pandian M. Vasant
Affiliations:
Electrical and Electronic Engineering Program, University Teknologi Petronas, BSI, Tronoh, Perak DR, Malaysia
Venue:
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Year:
2005

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Abstract

In this paper, we concentrate on two kinds of fuzzy linear programming problems: linear programming problems with only fuzzy resource variables and linear programming problems in which both the resource variables and the technological coefficients are fuzzy numbers. We consider here only the case of fuzzy numbers with modified s-curve membership functions. We propose here the modified s-curve membership function as a methodology for fuzzy linear programming and use it for solving these problems. We also compare the new proposed method wth non-fuzzy linear programming optimization method. Finally, we provide real life application examples in production planning and their numerical solutions.