Keywords: bounded lattice; triangular norm; triangular conorm; uninorms
@article{10_14736_kyb_2017_3_0394,
author = {\c{C}ayl{\i}, G\"ul Deniz and Kara\c{c}al, Funda},
title = {Construction of uninorms on bounded lattices},
journal = {Kybernetika},
pages = {394--417},
year = {2017},
volume = {53},
number = {3},
doi = {10.14736/kyb-2017-3-0394},
mrnumber = {3684677},
zbl = {06819615},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-3-0394/}
}
TY - JOUR AU - Çaylı, Gül Deniz AU - Karaçal, Funda TI - Construction of uninorms on bounded lattices JO - Kybernetika PY - 2017 SP - 394 EP - 417 VL - 53 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-3-0394/ DO - 10.14736/kyb-2017-3-0394 LA - en ID - 10_14736_kyb_2017_3_0394 ER -
Çaylı, Gül Deniz; Karaçal, Funda. Construction of uninorms on bounded lattices. Kybernetika, Tome 53 (2017) no. 3, pp. 394-417. doi: 10.14736/kyb-2017-3-0394
[1] Aşıcı, E., Karaçal, F.: On the T-partial order and properties. Inf. Sci. 267 (2014), 323-333. | DOI | MR
[2] Aşıcı, E., Karaçal, F.: Incomparability with respect to the triangular order. Kybernetika 52 (2016), 15-27. | DOI | MR
[3] Aşıcı, E.: An order induced by nullnorms and its properties. Fuzzy Sets Syst. In press 2017. | DOI | MR
[4] Birkhoff, G.: Lattice Theory. American Mathematical Society Colloquium Publ., Providence 1967. | DOI | MR | Zbl
[5] Baets, B. De: Idempotent uninorms. European J. Oper. Res. 118 (1999), 631-642. | DOI | Zbl
[6] Bodjanova, S., Kalina, M.: Construction of uninorms on bounded lattices. In: IEEE 12th International Symposium on Intelligent Systems and Informatics, SISY 2014, Subotica. | DOI
[7] Çaylı, G. D., Karaçal, F., Mesiar, R.: On a new class of uninorms on bounded lattices. Inf. Sci. 367-368 (2016), 221-231. | DOI | MR
[8] Çaylı, G. D., Karaçal, F.: Some remarks on idempotent nullnorms on bounded lattices. In: Torra V., Mesiar R., Baets B. (eds) Aggregation Functions in Theory and in Practice. AGOP 2017. Advances in Intelligent Systems and Computing, Springer, Cham, 581 (2017), 31-39. | DOI | MR
[9] Drewniak, J., Drygaś, P.: On a class of uninorms. Int. J. Uncertainly Fuzziness Knowl.-Based Syst. 10 (2002), 5-10. | DOI | MR
[10] Drygaś, P.: On properties of uninorms with underlying t-norm and t-conorm given as ordinal sums. Fuzzy Sets Syst. 161 (2010), 149-157. | DOI | MR | Zbl
[11] Drygaś, P., Ruiz-Aguilera, D., Torrens, J.: Acharacterization of uninorms locally internal in $A(e)$ with continuous underlying operators. Fuzzy Sets Syst. 287 (2016), 137-153. | DOI | MR
[12] Drygaś, P., Rak, E.: Distributivity equation in the class of 2-uninorms. Fuzzy Sets Syst. 291 (2016), 82-97. | DOI | MR
[13] Ertuğrul, Ü., Kesicioğlu, M. N., Karaçal, F.: Ordering based on uninorms. Inf. Sci. 330 (2016), 315-327. | DOI
[14] Fodor, J., Yager, R. R., Rybalov, A.: Structure of uninorms. Int. J. Uncertain Fuzziness Knowl.-Based Syst. 5 (1997), 411-427. | DOI | MR | Zbl
[15] Karaçal, F., Mesiar, R.: Uninorms on bounded lattices. Fuzzy Sets Syst. 261 (2015), 33-43. | DOI | MR
[16] Karaçal, F., Ertuğrul, Ü., Mesiar, R.: Characterization of uninorms on bounded lattices. Fuzzy Sets Syst. 308 (2017), 54-71. | DOI | MR
[17] Klement, E. P., Mesiar, R., Pap, E.: Triangular Norms. Kluwer Acad. Publ., Dordrecht 2000. | DOI | MR | Zbl
[18] Mas, M., Monserrat, M., Torrens, J.: On left and right uninorms. Int. J. Uncertainly Fuzziness Knowl.-Based Syst. 9 (2001), 491-507. | DOI | MR | Zbl
[19] Schweizer, B., Sklar, A.: Probabilistic Metric Spaces. North-Holland, New York 1983. | MR | Zbl
[20] Takács, M.: Lattice Ordered Monoids and Left Continuous Uninorms and t-norms. Book Chapter from: Theoretical Advances and Applications of Fuzzy Logic and Soft Computing, Book Series: Advances in Soft Computing, Publisher: Springer Berlin/ Heidelberg, 42 (2007), 565-572. | DOI
[21] Wang, Z. D., Fang, J. X.: Residual operators of left and right uninorms on a complete lattice. Fuzzy Sets Syst. 160 (2009), 22-31. | DOI | MR
[22] Yager, R. R.: Misrepresentations and challenges: a response to Elkan. IEEE Expert 1994.
[23] Yager, R. R., Rybalov, A.: Uninorms aggregation operators. Fuzzy Sets Syst. 80 (1996), 111-120. | DOI | MR
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