2009•Mohu xitong yu shuxueRequires access

Solution to All-Coefficient-Fuzzy Linear Programming

Guo Si-zong

Abstract

All-Coefficient-Fuzzy linear programming with target function and constraint coefficients of triangle fuzzy numbers is transformed into classical linear programming by defines a new ranking criterion of fuzzy numbers with the method of structured element,and proves rationality of the theory.Compared with the existing methods,firstly,the obtained solution is superior to the other solutions,secondly,this method has fewer number of constraints,thirdly,the simple of calculation.This method is compared with the existing methods,effectiveness and extensive application of this method are illustrated.

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Key concepts: Mathematics, Linear programming, Mathematical optimization, Ranking (information retrieval), Fuzzy logic, Fuzzy number, Constraint (computer-aided design), Simple (philosophy)