TY - JOUR T1 - A way to obtain 2-uninorm on bounded lattice from uninorms defined on subintervals of bounded lattice AU - Ertugrul, Umit PY - 2017 DA - March JF - New Trends in Mathematical Sciences PB - Mustafa BAYRAM WT - DergiPark SN - 2147-5520 SP - 1 EP - 9 VL - 5 IS - 2 LA - en AB - In this paper, a way to obtain 2-uninorm on bounded latticefrom U1 disjunctive uninorm on [0, k] and U2   conjunctive uninorm on [k,1] is presented.When the conditions disjunctive of U1  or conjunctive of U2    drop, it is showed that this method isinvalid. Additionally, some properties of this construction method areinvestigated. KW - Uninorm KW - 2-uninorm KW - bounded lattice KW - disjunctive CR - P. Akella, C-sets of n-uninorms, Fuzzy Sets and Systems, 160 (2009), 1-21. CR - P. Akella, Structure of n-uninorms, Fuzzy Sets and Systems, 158 (2007), 1631-1651. CR - G. Birkhoff, Lattice Theory, 3 rd edition, Providence, 1967. CR - P. Dryga´s, E. Rak, Distributivity equation in the class of 2-uninorms, Fuzzy Sets and Systems, 2016 (291), 82-97. CR - U. Ertu˘grul, F. Karac¸al, R. Mesiar, Modified ordinal sums o ¨ f triangular norms and triangular conorms on bounded lattices, International Journal of Intelligent Systems, 30 (2015) 807-817. CR - U. Ertu˘grul, M. N. Kesicio˘glu, F. Karac¸al, Ordering base ¨ d on uninorms, Information Sciences, 330 (2016), 315-327. CR - U. Ertu˘grul, M. N. Kesicio˘glu, F. Karac¸al, Ordering base ¨ d 2-uninorms on bounded lattices, New Trends in Mathematical Sciences, in press. CR - J. Fodor, R. Yager, and A. Rybalov, Structure of uninorms, Internata. J. Uncertain. Fuzziness Knowledge-Based Systems, 5 (1997), 411-427. CR - M. Grabisch, J.-L. Marichal, R. Mesiar, E. Pap, Aggregation Functions, Cambridge University Press, 2009. CR - F. Karac¸al, M.A. ˙Ince, R. Mesiar, Nullnorms on bounded lattices, Information Sciences, 325 (2015), 227-236. CR - F. Karac¸al, R. Mesiar, Uninorms on bounded lattices, Fuzzy Sets and Systems, 261 (2015), 33-43. CR - R. R. Yager, A. Rybalov, Uninorm aggregation operators, Fuzzy Sets and Systems, 80 (1996), 111-120. CR - R. R. Yager, Uninorms in fuzzy system modelling, Fuzzy Sets and Systems, 122 (2001), 167-175. UR - https://dergipark.org.tr/tr/pub/ntims/article/538521 L1 - https://dergipark.org.tr/tr/download/article-file/668406 ER -