Title :
Geometric Programming with Fuzzy Relation Equation Constraints
Author :
Yang, Ji-Hui ; Cao, Bing-Yuan
Author_Institution :
Inst. of Math., Shantou Univ., Guangdong
Abstract :
An optimization model is presented with a posynomial objective function subject to a fuzzy relation equation. Then the structure of solution set and its solving method are related about fuzzy relation equations. Next the optimum solution is discussed, based on exponent of monomial among objective function, then a solution procedure is proposed. And finally, two practical examples are given for illustration purpose
Keywords :
constraint theory; fuzzy set theory; geometric programming; matrix algebra; optimisation; fuzzy relation equation constraints; geometric programming; monomial exponent; optimization model; optimum solution; posynomial objective function; Concrete; Constraint optimization; Fuzzy logic; Fuzzy sets; Genetic algorithms; Linear programming; Mathematical model; Mathematics; Nonlinear equations; Optimization methods;
Conference_Titel :
Fuzzy Systems, 2005. FUZZ '05. The 14th IEEE International Conference on
Conference_Location :
Reno, NV
Print_ISBN :
0-7803-9159-4
DOI :
10.1109/FUZZY.2005.1452454
