Fuzzy programming models based on multi-attribute 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 multi-constraints fuzzy programming, we propose the concept of multi-attribute synthesizing effect function, and further we give an axiomatic system for multi-attribute synthesizing effect function. Finally, we establish a general solution model based on multi-attribute synthesizing effect function for fuzzy programming problem, and analyze the model through three concrete examples. All the results indicate that our method can not only include the existing methods for fuzzy programming, but also effectively merge the decision preferences into the solution process, so it can be widely used in many fields such as complicated system optimization and artificial intelligence etc.