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.
This research has been financially supported by the UGC SAP (DRS) Phase-II Project under the Department of Mathematics, Visva-Bharati and the UGC Major Research Project No. F. 36-293/2008(SR).
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Mandal, S., Bhattacharyya, N., Raha, S. (2015). Approximate Reasoning Under Type-2 Fuzzy Logics. In: Chakraborty, M.K., Skowron, A., Maiti, M., Kar, S. (eds) Facets of Uncertainties and Applications. Springer Proceedings in Mathematics & Statistics, vol 125. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2301-6_7
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DOI: https://doi.org/10.1007/978-81-322-2301-6_7
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