Study on Fuzzy Programming Methods Based on Synthesizing Effect

Fuzzy programming is a well-known optimization problem in resource allocation, optimization decision etc. In this paper, by analyzing the essential characteristic of fuzzy programming and the deficiencies of the existing methods, we propose the concept of synthesizing effect function for processing the objective function and constraints, and further we give an axiomatic system for synthesizing effect function. Finally, we establish a general solution model based on synthesizing effect function for fuzzy programming problem, and analyze the model through three examples. All the results indicate that our method not only includes the existing methods for fuzzy programming, but also effectively merge the decision preferences into the solution, so it can be widely used in many fields such as complicated system optimization and artificial intelligence.