Title :
Geometric programming with max-product fuzzy relation equation constraints
Author :
Yang, Ji-Hui ; Cao, Bing-Yuan
Author_Institution :
Inst. of Math., Shantou Univ., Guangdong, China
Abstract :
An optimization model is presented with a polynomial objective function subject to max-product fuzzy relation equation. Then the structure of solution set and its solution method are related with max-product fuzzy relation equation. Next, the optimal solution is discussed, based on exponent of monomial among objective function, a solution procedure is proposed. And finally, two practical examples are given for illustration purpose.
Keywords :
fuzzy set theory; geometric programming; optimisation; polynomials; geometric programming; max-product fuzzy relation equation; optimization model; polynomial objective function; Constraint optimization; Fuzzy sets; Genetic algorithms; Linear programming; Mathematical model; Mathematics; Nonlinear equations; Optimization methods; Solid modeling; Vectors;
Conference_Titel :
Fuzzy Information Processing Society, 2005. NAFIPS 2005. Annual Meeting of the North American
Print_ISBN :
0-7803-9187-X
DOI :
10.1109/NAFIPS.2005.1548614
