This paper deals with a new family of (A, N)-implications that derived from fuzzy negation and continuous monotone function, and some properties, like the left neutrally, the exchange principle, the ordering property and the laws of contraposition, of the proposed family of (A, N)-implications are studied. Moreover, the T-conditionality and the Modus tollens for the new family of (A, N)-implications are also studied and some results are obtained.
Peng, Z. (2020). A new family of (A, N)-implications: Construction and properties. Iranian Journal of Fuzzy Systems, 17(2), 129-145. doi: 10.22111/ijfs.2020.5224
MLA
Z. Peng. "A new family of (A, N)-implications: Construction and properties", Iranian Journal of Fuzzy Systems, 17, 2, 2020, 129-145. doi: 10.22111/ijfs.2020.5224
HARVARD
Peng, Z. (2020). 'A new family of (A, N)-implications: Construction and properties', Iranian Journal of Fuzzy Systems, 17(2), pp. 129-145. doi: 10.22111/ijfs.2020.5224
VANCOUVER
Peng, Z. A new family of (A, N)-implications: Construction and properties. Iranian Journal of Fuzzy Systems, 2020; 17(2): 129-145. doi: 10.22111/ijfs.2020.5224
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