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Choice of Implication Functions to Reduce Uncertainty in Interval Type-2 Fuzzy Inferences

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Advanced Computing, Networking and Informatics- Volume 1

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 27))

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Abstract

Selection of implication function is a well-known problem in Type-1 fuzzy reasoning. Several comparison of type-1 implications have been reported using set of (nine) standard axioms. This paper attempts to select the most efficient implication function that results in minimum uncertainty in the interval type-2 inference. An analysis confirms that Lukasiewicz-1/Lukasiewicz-2 membership function is most efficient in the present context.

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Chakraborty, S., Konar, A., Janarthanan, R. (2014). Choice of Implication Functions to Reduce Uncertainty in Interval Type-2 Fuzzy Inferences. In: Kumar Kundu, M., Mohapatra, D., Konar, A., Chakraborty, A. (eds) Advanced Computing, Networking and Informatics- Volume 1. Smart Innovation, Systems and Technologies, vol 27. Springer, Cham. https://doi.org/10.1007/978-3-319-07353-8_43

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  • DOI: https://doi.org/10.1007/978-3-319-07353-8_43

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07352-1

  • Online ISBN: 978-3-319-07353-8

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