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Reverse triple I reasoning methods based on the Łukasiewicz implication

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Fuzzy Information and Engineering

Abstract

The reverse and α-reverse triple I reasoning methods based on Łukasiewicz implication I L are established in new manners which correct the mistakes in the existing literature. Furthermore, the α-reverse triple I reasoning method is extended to a new form, called α(u, ν)-reverse triple I reasoning method, which can contain the reverse triple I reasoning method as its particular case. This is another improved point to the existing results.

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Authors and Affiliations

  1. School of Mathematics, Shandong University, Jinan, Shandong, 250100, China

    Hua-wen Liu

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  1. Hua-wen Liu
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Correspondence to Hua-wen Liu.

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Liu, Hw. Reverse triple I reasoning methods based on the Łukasiewicz implication. Fuzzy Inf. Eng. 3, 157–167 (2011). https://doi.org/10.1007/s12543-011-0074-9

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  • DOI: https://doi.org/10.1007/s12543-011-0074-9

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