A way to obtain 2-uninorm on bounded lattice from uninorms defined on subintervals of bounded lattice
Abstract
In this paper, a way to obtain 2-uninorm on bounded lattice
from 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 is
invalid. Additionally, some properties of this construction method are
investigated.
Keywords
Kaynakça
- P. Akella, C-sets of n-uninorms, Fuzzy Sets and Systems, 160 (2009), 1-21.
- P. Akella, Structure of n-uninorms, Fuzzy Sets and Systems, 158 (2007), 1631-1651.
- G. Birkhoff, Lattice Theory, 3 rd edition, Providence, 1967.
- P. Dryga´s, E. Rak, Distributivity equation in the class of 2-uninorms, Fuzzy Sets and Systems, 2016 (291), 82-97.
- 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.
- U. Ertu˘grul, M. N. Kesicio˘glu, F. Karac¸al, Ordering base ¨ d on uninorms, Information Sciences, 330 (2016), 315-327.
- 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.
- J. Fodor, R. Yager, and A. Rybalov, Structure of uninorms, Internata. J. Uncertain. Fuzziness Knowledge-Based Systems, 5 (1997), 411-427.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yazarlar
Umit Ertugrul
*
Türkiye
Yayımlanma Tarihi
30 Mart 2017
Gönderilme Tarihi
31 Ocak 2017
Kabul Tarihi
28 Şubat 2017
Yayımlandığı Sayı
Yıl 2017 Cilt: 5 Sayı: 2