Notes on locally internal uninorm on bounded lattices
Gül Deniz Çaylı; Ümit Ertuğrul; Tuncay Köroğlu; Funda Karaçal
Kybernetika (2017)
- Volume: 53, Issue: 5, page 911-921
- ISSN: 0023-5954
Access Full Article
topAbstract
topHow to cite
topÇaylı, Gül Deniz, et al. "Notes on locally internal uninorm on bounded lattices." Kybernetika 53.5 (2017): 911-921. <http://eudml.org/doc/294308>.
@article{Çaylı2017,
abstract = {In the study, we introduce the definition of a locally internal uninorm on an arbitrary bounded lattice $L$. We examine some properties of an idempotent and locally internal uninorm on an arbitrary bounded latice $L$, and investigate relationship between these operators. Moreover, some illustrative examples are added to show the connection between idempotent and locally internal uninorm.},
author = {Çaylı, Gül Deniz, Ertuğrul, Ümit, Köroğlu, Tuncay, Karaçal, Funda},
journal = {Kybernetika},
keywords = {bounded lattice; uninorm; idempotent uninorm; locally internal},
language = {eng},
number = {5},
pages = {911-921},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Notes on locally internal uninorm on bounded lattices},
url = {http://eudml.org/doc/294308},
volume = {53},
year = {2017},
}
TY - JOUR
AU - Çaylı, Gül Deniz
AU - Ertuğrul, Ümit
AU - Köroğlu, Tuncay
AU - Karaçal, Funda
TI - Notes on locally internal uninorm on bounded lattices
JO - Kybernetika
PY - 2017
PB - Institute of Information Theory and Automation AS CR
VL - 53
IS - 5
SP - 911
EP - 921
AB - In the study, we introduce the definition of a locally internal uninorm on an arbitrary bounded lattice $L$. We examine some properties of an idempotent and locally internal uninorm on an arbitrary bounded latice $L$, and investigate relationship between these operators. Moreover, some illustrative examples are added to show the connection between idempotent and locally internal uninorm.
LA - eng
KW - bounded lattice; uninorm; idempotent uninorm; locally internal
UR - http://eudml.org/doc/294308
ER -
References
top- Aşıcı, E., Karaçal, F., 10.14736/kyb-2016-1-0015, Kybernetika 52 (2016), 15-27. MR3482608DOI10.14736/kyb-2016-1-0015
- Birkhoff, G., 10.1090/coll/025, American Mathematical Society Colloquium Publ., Providence 1967. Zbl0537.06001MR0227053DOI10.1090/coll/025
- Baets, B. De, 10.1016/s0377-2217(98)00325-7, European J. Oper. Res. 118 (1999), 631-642. Zbl1178.03070DOI10.1016/s0377-2217(98)00325-7
- Baets, B. De, Fodor, J., 10.1016/j.fss.2011.12.001, Fuzzy Sets Syst. 202 (2012), 89-99. MR2934788DOI10.1016/j.fss.2011.12.001
- Çaylı, G. D., Karaçal, F., Mesiar, R., 10.1016/j.ins.2016.05.036, Inform. Sci. 367-368 (2016), 221-231. MR3684677DOI10.1016/j.ins.2016.05.036
- Çaylı, G. D., Drygaś, P., 10.1016/j.ins.2017.09.018, Inform. Sci. 422 (2018), 352-363. MR3709474DOI10.1016/j.ins.2017.09.018
- Drewniak, J., Drygaś, P., 10.1142/s021848850200179x, Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 10 (2002), 5-10. MR1962665DOI10.1142/s021848850200179x
- Drygaś, P., 10.1016/j.fss.2009.09.017, Fuzzy Sets Syst. 161 (2010), 149-157. Zbl1191.03039MR2566236DOI10.1016/j.fss.2009.09.017
- Drygaś, P., Ruiz-Aguilera, D., Torrens, J., 10.1016/j.fss.2009.09.017, Fuzzy Sets Syst. 287 (2016), 137-153. MR3447023DOI10.1016/j.fss.2009.09.017
- Ertuğrul, Ü., Kesicioğlu, M. N., Karaçal, F., 10.1016/j.ins.2015.10.019, Inform. Sci. 330 (2016), 315-327. DOI10.1016/j.ins.2015.10.019
- Fodor, J., Yager, R. R., Rybalov, A., 10.1142/s0218488597000312, Int. J. Uncertain Fuzziness Knowl.-Based Syst. 5 (1997), 411-427. Zbl1232.03015MR1471619DOI10.1142/s0218488597000312
- Kesicioğlu, M. N., Mesiar, R., 10.1016/j.ins.2013.12.047, Fuzzy Sets Syst. 276 (2014), 377-386. MR3206505DOI10.1016/j.ins.2013.12.047
- Kesicioğlu, M. N., Ertuğrul, Ü., Karaçal, F., 10.1016/j.ins.2017.05.020, Inform. Sci. 411 (2017), 39-51. MR3659313DOI10.1016/j.ins.2017.05.020
- Karaçal, F., Mesiar, R., 10.1016/j.fss.2014.05.001, Fuzzy Sets Syst. 261 (2015), 33-43. MR3291484DOI10.1016/j.fss.2014.05.001
- Karaçal, F., Ertuğrul, Ü., Mesiar, R., 10.1016/j.fss.2016.05.014, Fuzzy Sets Syst. 308 (2017), 54-71. MR3579154DOI10.1016/j.fss.2016.05.014
- Klement, E. P., Mesiar, R., Pap, E., 10.1007/978-94-015-9540-7, Dordrecht, Kluwer Acad. Publ., 2000. Zbl1087.20041MR1790096DOI10.1007/978-94-015-9540-7
- Martin, J., Mayor, G., Torrens, J., 10.1016/s0165-0114(02)00430-x, Fuzzy Sets Syst. 137 (2003), 27-42. Zbl1022.03038MR1992696DOI10.1016/s0165-0114(02)00430-x
- Mesiarová-Zemánková, A., 10.1016/j.ins.2014.12.060, Inform. Sci. 301 (2015), 227-240. MR3311790DOI10.1016/j.ins.2014.12.060
- Yager, R. R., 10.1016/s0165-0114(00)00027-0, Fuzzy Sets Syst. 122 (2001), 167-175. MR1839955DOI10.1016/s0165-0114(00)00027-0
- Yager, R. R., 10.1016/s0377-2217(01)00267-3, European J. Oper. Res. 141 (2002), 217-232. Zbl0998.90046MR1925395DOI10.1016/s0377-2217(01)00267-3
- Yager, R. R., Rybalov, A., 10.1016/0165-0114(95)00133-6, Fuzzy Sets Syst. 80 (1996), 111-120. MR1389951DOI10.1016/0165-0114(95)00133-6
Citations in EuDML Documents
top- Funda Karaçal, Ümit Ertuğrul, M. Nesibe Kesicioğlu, Generating methods for principal topologies on bounded lattices
- Ümit Ertuğrul, M. Nesibe Kesicioğlu, Funda Karaçal, Construction methods for uni-nullnorms and null-uninorms on bounded lattice
- Zhen-Yu Xiu, Xu Zheng, A new approach to construct uninorms via uninorms on bounded lattices
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.