Fuzzy inference with synergistic effect and its application to fuzzy control

We have developed a fuzzy combination operator '*and*', that can account for synergism among the items that make up the conditions of a rule. Usually, when the condition part of a rule contains several conditions, the global truth value of the rule is given by the combination of the truth values of all the conditions, using a combination operator (t-norm, t-conorm). Using usual combination operators, however, it is not possible to express the synergistic relations that may exist among the different items in the conditions, as in the expert's knowledge. So, We proposed a new combination operator, denoted by '*and*', which can express this synergistic effect. When used with the usual combination operator, the '*and*' operator adds the synergistic effect to the area where it is necessary. Using this operator, it becomes possible to use the expert's knowledge, representing it as a usual rule. In this paper, we explain the effect when we use the '*and*' operator for the combination operator of the fuzzy control rules.<>