Variable weighted synthesis inference method for fuzzy reasoning and fuzzy systems

A new fuzzy inference method, called a VWSI (variable weighted synthesis inference) method, is presented by applying the principle of variable weighted synthesis in factor spaces theory to fuzzy inference. The analysis for response abilities of fuzzy systems constructed by VWSI algorithms indicates that such fuzzy systems have a characteristic of interpolation approximations to unknown functions. The fuzzy systems constructed by commonly used fuzzy inference algorithms are equivalent to some special fuzzy systems constructed by VWSI algorithms. A simulation experiment shows the advantage of VWSI method.