Fuzzy Programming Technique and Proposed Application
DOI:
https://doi.org/10.37591/rtpl.v2i1.365Keywords:
Fuzzy set theory, crisp linear programming, fuzzy linear programming, optimization, membership functionAbstract
A solution approach supported fuzzy linear programming is planned and applied to best machine scheduling downside. During this resolution approach, errors within the demand of assorted product throughout ensuing production period are thought of to be fuzzy in nature. In standard linear programming approach it's assumed that there's no error within the expected demand of assorted product. A fuzzy linear programming approach is planned to get an optimal resolution underneath fuzzy conditions. Within the planned method expected demand of product and; profit are expressed by fuzzy set notations. The planned fuzzy linear programming formulation is then reworked to an equivalent standard applied mathematics downside and solutions obtained by finding this reworked linear programming downside. For illustration purpose the planned method is applied to a profit maximization connected machine scheduling downside.
Cite this Article:
Sachin Garg, Prashant Kumar. Fuzzy Programming Technique and Proposed Application. Recent Trends in Programming Languages. 2015; 2(1): 7–11p.
References
Zimmermann HJ. Description and Optimization of Fuzzy Systems. Int. J. General System. 1976; 2: 209-215p.
Lu CN, Leou RC, Liu KC, et al. A Load Flow and Fuzzy Linear Programming Based External Network Modelling Approach. IEEE Trans. Power Systems. 1994; 9(3): 1293-1301p.
Zimmermann HJ. Fuzzy Programming and Linear Programming with Several Objective Functions. Fuzzy Sets and Systems. 1978; 1: 45–55p.
Hamacher H, Leberling H, Zimmermann HJ. Sensitivity Analysis in Fuzzy Linear Programming. Fuzzy Sets and Systems. 1978; 1: 269–281p.
Tanaka H, Guo P, Zimmermann HJ. Possibility Distribution of Fuzzy Decision Variables Obtained from Possibilistic Linear Programming Problems. Fuzzy Sets and Systems. 2000; 113: 323–332p.
Gillet BE. Introduction to Operation Research-A Computer Oriented
Algorithmic Approach. Tata McGraw Hill Publishing Co. Ltd. 1976.
Charnes A, Cooper WW. Management Models and Industrial Application of Linear Programming. Wiley, New York. 1961; 2.
Klir GJ, Folger TA. Fuzzy Sets, Uncertainty and Information. Prentice Hall, 1988.
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