[1] G. Birkhoff , Lattice theory, American Mathematical Society Colloquium Publishers, Providence, 1967.
[2] M. Botur, R. Halas, R. Mesiar, J. Pocs, On generating of idempotent aggregation functions on nite lattices, Information
Sciences, 552 (2018), 39-45.
[3] G. D. Cayli, Construction methods for idempotent nullnorms on bounded lattices, Applied Mathematics and Computation, 366 (2020), 124746.
[4] G. D. C ayli, Some results about nullnorms on bounded lattices, Fuzzy Sets and Systems, 386 (2020), 105-131.
[5] G. D. C ayli, P. Drygas, Some properties of idempotent uninorms on a special class of bounded lattices, Information
Sciences, 422 (2018), 352-363.
[6] G. D. C ayli, F. Karacal, Idempotent nullnorms on bounded lattices, Information Sciences, 425 (2018), 154-163.
[7] B. De Baets, Idempotent uninorms, European Journal of Operational Research, 118(3) (1999), 631-642.
[8] J. Drewniak, P. Drygas, E. Rak, Distributivity between uninorms and nullnorms, Fuzzy Sets and Systems, 159
(2008), 1646-1657.
[9] P. Drygas, A characterization of idempotent nullnorms, Fuzzy Sets and Systems, 145 (2004), 455-461.
[10] P. Drygas, Distributivity between semi t-operators and semi nullnorms, Fuzzy Sets and Systems, 264 (2015),
100-109.
[11] U. Ertugrul, Construction of nullnorms on bounded lattices and an equivalence relation on nullnorms, Fuzzy Sets
and Systems, 334 (2018), 94-109.
[12] B. W. Fang, B. Q. Hu, Semi-t-operators on bounded lattices, Information Sciences, 490 (2019), 191-209.
[13] P. Hajek, T. Havranek, R. Jirousek, Uncertain information processing in expert systems, CRC Press, Boca Raton,
1992.
[14] M. A. _Ince, F. Karacal, R. Mesiar, Medians and nullnorms on bounded lattices, Fuzzy Sets and Systems, 289
(2016), 74-81.
[15] D. Jocic, I. Stajner-Papuga, On the conditional distributivity of continuous semi-t-operators over uninorms, Fuzzy
Sets and Systems, 334 (2018), 110-125.
[16] F. Karacal, U. Ertugrul, R. Mesiar, Characterization of uninorms on bounded lattices, Fuzzy Sets and Systems,
308 (2017), 54-71.
[17] F. Karacal, M. A. _Ince, R. Mesiar, Nullnorms on bounded lattices, Information Sciences, 325 (2015), 227-36.
[18] F. Karacal, R. Mesiar, Uninorms on bounded lattices, Fuzzy Sets and Systems, 261 (2015), 33-43.
[19] G. J. Klir, B. Yuan, Fuzzy sets and fuzzy logic, theory and application, Prentice-Hall PTR, Upper Saddle River,
New Jersey, 1995.
[20] M. Mas, G. Mayor, J. Torrens, t-operators, International Journal of Uncertainty, Fuzziness and Knowledge-Based
Systems, 7 (1999), 31-50.
[21] M. Mas, G. Mayor, J. Torrens, The distributivity condition for uninorms and t-operators, Fuzzy Sets and Systems,
128 (2002), 209-225.
[22] K. Menger, Statistical metrics, Proceedings of the National Academy of Sciences USA, 28 (1942), 535-537.
[23] F. Qin, Distributivity between semi-uninorms and semi-t-operator, Fuzzy Sets and Systems, 299 (2016), 66-88.
[24] F. Qin, Y. M. Wang, Distributivity between semi-t-operator and Mayor's aggregation operators, Information Sciences,
346-347 (2016), 6-16.
[25] Y. Ouyang, H. P. Zhang, Z. D. Wang, B. De Baets, Idempotent uninorms on a complete chain, Fuzzy Sets and
Systems, 448 (2022), 107-126.
[26] Y. Su, W. W. Zong, H. W. Liu, P. J. Xue, Migrativity property for uninorms and semi t-operators, Information
Sciences, 325 (2015), 455-465.
[27] Y. M. Wang, Z. B. Li, H. W. Liu, On the structure of semi-t-operators on bounded lattices, Fuzzy Sets and Systems,
395 (2020), 130-148.
[28] Y. M. Wang, Z. B. Li, H. W. Liu, Semi-t-operators and idempotent semi-t-operators on bounded lattices, Iranian
Journal of Fuzzy Systems, 18 (2021), 109-125.
[29] C. Y.Wang, L. J.Wan, B. Zhang, Distributivity and conditional distributivity of semi-t-operators over S-unimorms,
Fuzzy Sets and Systems, 441 (2022), 224-240.
[30] X. X. Wu, S. D. Liang, G. D. C ayli, Characterizing idempotent nullnorms on a special class of bounded lattices,
Fuzzy Sets and Systems, 427 (2022), 161-173.
[31] R. R. Yager, Aggregation operators and fuzzy systems modelling, Fuzzy Sets and Systems, 67 (1994), 129-145.
[32] R. R. Yager, Uninorms in fuzzy system modelling, Fuzzy Sets and Systems, 122 (2001), 167-175.
[33] H. Zhan,Y. M. Wang, H. W. Liu, The modularity condition for semi-t-operators and semi-uninorms, Fuzzy Sets
and Systems, 334 (2018), 36-59.
[34] H. P. Zhang, Y. Ouyang, Z. D. Wang, B. De Baets, A characterization of idempotent nullnorms on bounded lattices,
Information Sciences, 586 (2022), 676-687.
[35] C. L. Zhu, X. P. Wang, Alternative approaches for generating semi-t-operators on bounded lattices, Fuzzy Sets and
Systems, 439 (2022), 75-88.