AIDec 13, 2017

Consideration on Example 2 of "An Algorithm of General Fuzzy InferenceWith The Reductive Property"

arXiv:1712.04596v1
Originality Synthesis-oriented
AI Analysis

This is an incremental correction for researchers in fuzzy logic systems.

This paper verifies the correctness of a previously published fuzzy reasoning algorithm and identifies errors in a specific example from another paper, providing corrections and an additional calculation example for fuzzy modus tollens.

In this paper, we will show that (1) the results about the fuzzy reasoning algoritm obtained in the paper "Computer Sciences Vol. 34, No.4, pp.145-148, 2007" according to the paper "IEEE Transactions On systems, Man and cybernetics, 18, pp.1049-1056, 1988" are correct; (2) example 2 in the paper "An Algorithm of General Fuzzy Inference With The Reductive Property" presented by He Ying-Si, Quan Hai-Jin and Deng Hui-Wen according to the paper "An approximate analogical reasoning approach based on similarity measures" presented by Tursken I.B. and Zhong zhao is incorrect; (3) the mistakes in their paper are modified and then a calculation example of FMT is supplemented.

Foundations

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