{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,26]],"date-time":"2025-11-26T15:50:50Z","timestamp":1764172250965},"publisher-location":"Cham","reference-count":25,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319593050"},{"type":"electronic","value":"9783319593067"}],"license":[{"start":{"date-parts":[[2017,5,19]],"date-time":"2017-05-19T00:00:00Z","timestamp":1495152000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-59306-7_4","type":"book-chapter","created":{"date-parts":[[2017,5,18]],"date-time":"2017-05-18T12:04:26Z","timestamp":1495109066000},"page":"31-39","source":"Crossref","is-referenced-by-count":1,"title":["Some Remarks on Idempotent Nullnorms on Bounded Lattices"],"prefix":"10.1007","author":[{"given":"G\u00fcl Deniz","family":"\u00c7ayl\u0131","sequence":"first","affiliation":[]},{"given":"Funda","family":"Kara\u00e7al","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,5,19]]},"reference":[{"key":"4_CR1","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1016\/j.ins.2014.01.032","volume":"267","author":"E A\u015f\u0131c\u0131","year":"2014","unstructured":"A\u015f\u0131c\u0131, E., Kara\u00e7al, F.: On the T-partial order and properties. Inf. Sci. 267, 323\u2013333 (2014)","journal-title":"Inf. Sci."},{"key":"4_CR2","first-page":"15","volume":"52","author":"E A\u015f\u0131c\u0131","year":"2016","unstructured":"A\u015f\u0131c\u0131, E., Kara\u00e7al, F.: Incomparability with respect to the triangular order. Kybernetika 52, 15\u201327 (2016)","journal-title":"Kybernetika"},{"key":"4_CR3","volume-title":"Lattice theory","author":"G Birkhoff","year":"1967","unstructured":"Birkhoff, G.: Lattice theory. American Mathematical Society Colloquium Publishers, Providence (1967)"},{"key":"4_CR4","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1016\/S0165-0114(99)00125-6","volume":"120","author":"T Calvo","year":"2001","unstructured":"Calvo, T., De Baets, B., Fodor, J.: The functional equations of Frank and Alsina for uninorms and nullnorm. Fuzzy Sets Syst. 120, 385\u2013394 (2001)","journal-title":"Fuzzy Sets Syst."},{"key":"4_CR5","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/j.ins.2016.05.036","volume":"367\u2013368","author":"GD \u00c7ayl\u0131","year":"2016","unstructured":"\u00c7ayl\u0131, G.D., Kara\u00e7al, F., Mesiar, R.: On a new class of uninorms on bounded lattices. Inf. Sci. 367\u2013368, 221\u2013231 (2016)","journal-title":"Inf. Sci."},{"key":"4_CR6","unstructured":"\u00c7ayl\u0131, G.D., Kara\u00e7al, F.: Idempotent nullnorms on bounded lattices. Working paper"},{"key":"4_CR7","doi-asserted-by":"crossref","first-page":"1646","DOI":"10.1016\/j.fss.2007.09.015","volume":"159","author":"J Drewniak","year":"2008","unstructured":"Drewniak, J., Dryga\u015b, P., Rak, E.: Distributivity between uninorms and nullnorms. Fuzzy Sets Syst. 159, 1646\u20131657 (2008)","journal-title":"Fuzzy Sets Syst."},{"key":"4_CR8","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1016\/S0165-0114(03)00259-8","volume":"145","author":"P Dryga\u015b","year":"2004","unstructured":"Dryga\u015b, P.: A characterization of idempotent nullnorms. Fuzzy Sets Syst. 145, 455\u2013461 (2004)","journal-title":"Fuzzy Sets Syst."},{"key":"4_CR9","unstructured":"Dryga\u015b, P.: Isotonic operations with zero element in bounded lattices. In: Atanassov, K., Hryniewicz, O., Kacprzyk, J. (eds.) Soft Computing Foundations and Theoretical Aspect, pp. 181\u2013190. EXIT, Warszawa (2004)"},{"key":"4_CR10","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1016\/j.fss.2014.09.003","volume":"264","author":"P Dryga\u015b","year":"2015","unstructured":"Dryga\u015b, P.: Distributivity between semi t-operators and semi nullnorms. Fuzzy Sets Syst. 264, 100\u2013109 (2015)","journal-title":"Fuzzy Sets Syst."},{"key":"4_CR11","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/j.ins.2015.10.019","volume":"330","author":"\u00dc Ertu\u011frul","year":"2016","unstructured":"Ertu\u011frul, \u00dc., Kesicio\u011flu, M.N., Kara\u00e7al, F.: Ordering based on uninorms. Inf. Sci. 330, 315\u2013327 (2016)","journal-title":"Inf. Sci."},{"key":"4_CR12","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139644150","volume-title":"Aggregation functions","author":"M Grabisch","year":"2009","unstructured":"Grabisch, M., Marichal, J.L., Mesiar, R., Pap, E.: Aggregation functions. Cambridge University Press, Cambridge (2009)"},{"key":"4_CR13","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1016\/j.fss.2015.05.015","volume":"289","author":"MA \u0130nce","year":"2016","unstructured":"\u0130nce, M.A., Kara\u00e7al, F., Mesiar, R.: Medians and nullnorms on bounded lattices. Fuzzy Sets Syst. 289, 74\u201381 (2016)","journal-title":"Fuzzy Sets Syst."},{"key":"4_CR14","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/j.fss.2014.05.001","volume":"261","author":"F Kara\u00e7al","year":"2015","unstructured":"Kara\u00e7al, F., Mesiar, R.: Uninorms on bounded lattices. Fuzzy Sets Syst. 261, 33\u201343 (2015)","journal-title":"Fuzzy Sets Syst."},{"key":"4_CR15","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1016\/j.ins.2015.06.052","volume":"325","author":"F Kara\u00e7al","year":"2015","unstructured":"Kara\u00e7al, F., \u0130nce, M.A., Mesiar, R.: Nullnorms on bounded lattices. Inf. Sci. 325, 227\u2013236 (2015)","journal-title":"Inf. Sci."},{"key":"4_CR16","first-page":"377","volume":"276","author":"MN Kesicio\u011flu","year":"2014","unstructured":"Kesicio\u011flu, M.N., Mesiar, R.: Ordering based on implications. Fuzzy Sets Syst. 276, 377\u2013386 (2014)","journal-title":"Fuzzy Sets Syst."},{"key":"4_CR17","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1142\/S0218488596000081","volume":"4","author":"EP Klement","year":"1996","unstructured":"Klement, E.P., Mesiar, R., Pap, E.: On the relationship of associative compensatory operation to triangular norms and conorms. Int. J. Uncertain Fuzziness Knowl. Based Syst. 4, 129\u2013144 (1996)","journal-title":"Int. J. Uncertain Fuzziness Knowl. Based Syst."},{"key":"4_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-9540-7","volume-title":"Triangular norms","author":"EP Klement","year":"2000","unstructured":"Klement, E.P., Mesiar, R., Pap, E.: Triangular norms. Kluwer Academic Publishers, Dordrecht (2000)"},{"key":"4_CR19","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1142\/S0218488599000039","volume":"7","author":"M Mas","year":"1999","unstructured":"Mas, M., Mayor, G., Torrens, J.: t-operators. Int. J. Uncertain Fuzziness Knowl. Based Syst. 7, 31\u201350 (1999)","journal-title":"Int. J. Uncertain Fuzziness Knowl. Based Syst."},{"key":"4_CR20","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1016\/S0165-0114(01)00123-3","volume":"128","author":"M Mas","year":"2002","unstructured":"Mas, M., Mayor, G., Torrens, J.: The distributivity condition for uninorms and t-operators. Fuzzy Sets Syst. 128, 209\u2013225 (2002)","journal-title":"Fuzzy Sets Syst."},{"key":"4_CR21","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1016\/S0165-0114(01)00055-0","volume":"126","author":"M Mas","year":"2002","unstructured":"Mas, M., Mayor, G., Torrens, J.: The modularity condition for uninorms and t-operators. Fuzzy Sets Syst. 126, 207\u2013218 (2002)","journal-title":"Fuzzy Sets Syst."},{"key":"4_CR22","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/S0165-0114(96)00290-4","volume":"96","author":"R Mesiar","year":"1998","unstructured":"Mesiar, R., Pap, E.: Different interpretations of triangular norms and related operations. Fuzzy Sets Syst. 96, 183\u2013189 (1998)","journal-title":"Fuzzy Sets Syst."},{"key":"4_CR23","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1016\/j.ins.2014.12.060","volume":"301","author":"A Mesiarov\u00e1-Zem\u00e1nkov\u00e1","year":"2015","unstructured":"Mesiarov\u00e1-Zem\u00e1nkov\u00e1, A.: Multi-polar t-conorms and uninorms. Inf. Sci. 301, 227\u2013240 (2015)","journal-title":"Inf. Sci."},{"key":"4_CR24","doi-asserted-by":"crossref","first-page":"313","DOI":"10.2140\/pjm.1960.10.313","volume":"10","author":"B Schweizer","year":"1960","unstructured":"Schweizer, B., Sklar, A.: Statistical metric spaces. Pac. J. Math. 10, 313\u2013334 (1960)","journal-title":"Pac. J. Math."},{"key":"4_CR25","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1016\/j.fss.2012.05.008","volume":"211","author":"A Xie","year":"2013","unstructured":"Xie, A., Liu, H.: On the distributivity of uninorms over nullnorms. Fuzzy Sets Syst. 211, 62\u201372 (2013)","journal-title":"Fuzzy Sets Syst."}],"container-title":["Advances in Intelligent Systems and Computing","Aggregation Functions in Theory and in Practice"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-59306-7_4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,5,18]],"date-time":"2017-05-18T12:05:35Z","timestamp":1495109135000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-59306-7_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,19]]},"ISBN":["9783319593050","9783319593067"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-59306-7_4","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"type":"print","value":"2194-5357"},{"type":"electronic","value":"2194-5365"}],"subject":[],"published":{"date-parts":[[2017,5,19]]}}}