[1] M. Baczynski, B. Jayaram, Fuzzy implications, Studies in Fuzziness and Soft Computing, 2008.
[2] M. Baczynski, B. Jayaram, (U,N)-implications and their characterizations, Fuzzy Sets and Systems, 160 (2009),
2049-2062.
[3] M. Baczynski, B. Jayaram, R. Mesiar, Fuzzy implications: Alpha migrativity and generalised laws of importation,
Information Sciences, 531 (2020), 87-96.
[4] B. De Baets, Fuzzy morphology: A logical approach, uncertainty analysis in engineering and sciences: Fuzzy logic,
statistics, and neural network approach, Norwell, MA, USA: Kluwer, (1997), 53-68.
[5] B. De Baets, J. C. Fodor, Residual operators of uninorms, Soft Computing, 3 (1999), 89-100.
[6] M. Cao, B. Q. Hu, On interval RO- and (G,O,N)-implications derived from interval overlap and grouping functions,
International Journal of Approximate Reasoning, 128 (2021), 102-128.
[7] M. Cao, B. Q. Hu, J. Qiao, On interval (G,N)-implications and (O,G,N)-implications derived from interval overlap
and grouping functions, International Journal of Approximate Reasoning, 100 (2018), 135-160.
[8] G. P. Dimuro, B. Bedregal, On residual implications derived from overlap functions, Information Sciences, 312
(2015), 78-88.
[9] G. P. Dimuro, B. Bedregal, R. H. N. Santiago, On (G,N)-implications derived from grouping functions, Information
Sciences, 279 (2014), 1-17.
[10] B. W. Fang, On alpha-cross-migrativity of t-conorms over fuzzy implications, Fuzzy Sets and Systems, 466 (2023).
DOI: 10.1016/j.fss. 2022.12.019.
[11] B. W. Fang, J. K. Wu, On interval fuzzy implications derived from interval additive generators of interval t-norms,
International Journal of Approximate Reasoning, 153 (2023), 1-17.
[12] J. Fodor, E. P. Klement, R. Mesiar, Cross-migrative triangular norms, International Journal of Intelligent Systems,
27 (2012), 411-428.
[13] S. Gottwald, A treatise on many-valued logic, Research Studies Press, Baldock, 2001.
[14] P. Grzegorzewski, Probabilistic implications, Fuzzy Sets and Systems, 226 (2013), 53-66.
[15] B. Jayaram, Yager's new class of implications Jf and some classical tautologies, Information Sciences, 177 (2007),
930-946.
[16] E. Kerre, M. Nachtegael, Fuzzy techniques in image processing, Springer-Verlag, New York, 2000.
[17] E. P. Klement, R. Mesiar, E. Pap, Triangular norms, Kluwer Academic Publishers, Dordrecht, 2000.
[18] W. Li, F. Qin, On the cross-migrativity of uninorms revisited, International Journal of Approximate Reasoning,
130 (2021), 246-258.
[19] S. Li, F. Qin, J. Fodor, On the cross-migrativity with respect to continuous t-norms, International Journal of
Intelligent Systems, 30 (2015), 550-562.
[20] H. W. Liu, Fuzzy implications derived from generalized additive generators of representable uninorms, IEEE Trans-
actions on Fuzzy Systems, 21(3) (2013), 555-566.
[21] M. Mas, M. Monserrat, J. Torrens, Two types of implications derived from uninorms, Fuzzy Sets and Systems,
158 (2007), 2612-2626.
[22] M. Mas, M. Monserrat, J. Torrens, E. Trillas, A survey on fuzzy implication functions, IEEE Transactions on Fuzzy
Systems, 15(6) (2007), 1107-1121.
[23] S. Massanet, J. Torrens, On a new class of fuzzy implications: h-implications and generalizations, Information
Sciences, 181 (2011), 2111-2127.
[24] D. Pan, H. Zhou, X. Yan, Characterizations for the migrativity of continuous t-conorms over fuzzy implications,
Fuzzy Sets and Systems, 456 (2023), 173-196.
[25] Z. Peng, A new family of (A,N)-implications: Construction and properties, Iranian Journal of Fuzzy Systems, 17
(2020), 129-145.
[26] J. Qiao, B. Zhao, On α-cross-migrativity of overlap (0-overlap) functions, IEEE Transactions on Fuzzy Systems,
30(2) (2022), 448-461.
[27] S. Saminger-Platz, R. Mesiar, D. Dubois, Aggregation operators and commuting, IEEE Transactions on Fuzzy
Systems, 15 (2007), 1032-1045.
[28] Y. Su, W. Zong, F. Qin, B. Zhao, The cross-migrativity with respect to continuous triangular norms revisited,
Information Sciences, 486 (2019), 114-118.
[29] P. Vicenik, Additive generators of associative functions, Fuzzy Sets and Systems, 153(2) (2005), 137-160.
[30] P. Vicenik, Additive generators of border-continuous triangular norms, Fuzzy Sets and Systems, 159(13) (2008),
1631-1645.
[31] A. Xie, H. W. Liu, A generalization of Yager's f-generated implications, International Journal of Approximate
Reasoning, 54 (2013), 35-46.
[32] R. Yager, On some new classes of implication operators and their role in approximate reasoning, Information
Sciences, 167 (2004), 193-216.
[33] P. Yan, G. Chen, Discovering a cover set of Arsi with hierarchy from quantitative databases, Information Sciences,
173 (2005), 319-336.
[34] L. A. Zadeh, J. Kacprzyk, Computing with words in information/intelligent systems: Foundations, Heidelberg:
Springer-Verlag, 1999.
[35] H. Zhan, H. W. Liu, The cross-migrative property for uninorms, Aequationes Mathematicae, 90 (2016), 1219-1239.
[36] H. Zhan, H. W. Liu, Cross-migrative uninorms with di erent neutral elements, Journal of Intelligent and Fuzzy
Systems, 32 (2017), 1877-1889.
[37] F. X. Zhang, H. W. Liu, On a new class of implications: (g, u)-implications and the distributive equations, Inter-
national Journal of Approximate Reasoning, 54 (2013), 1049-1065.
[38] Y. Y. Zhao, F. Qin, The cross-migrativity equation with respect to semi-t-operators, Iranian Journal of Fuzzy
Systems, 18 (2021), 17-33.
[39] H. Zhou, Characterizations of fuzzy implications generated by continuous multiplicative generators of t-norms,
IEEE Transactions on Fuzzy Systems, 29(10) (2021), 2988-3002.
[40] H. Zhou, Characterizations and applications of fuzzy implications generated by a pair of generators of t-norms and
the usual addition of real numbers, IEEE Transactions on Fuzzy Systems, 30(6) (2022), 1952-1966.
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