Abstract
In this paper, we have made a study of approximate reasoning based on a Type-2 fuzzy set theory. We have focused upon two typical rules of inference used mostly in ordinary approximate reasoning methodology based on Type-1 fuzzy set theory. Similarity is inherent in approximate reasoning. The concept of similarity between Type-2 fuzzy sets is discussed and a similarity-based approximate reasoning technique is proposed. The proposal is illustrated with a typical artificial example. Prediction is the causal basis for decision making. Different measures leading to prediction under uncertainty are proposed for a better understanding of the power of Type-2 fuzzy set theory.
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