A way to obtain 2-uninorm on bounded lattice from uninorms defined on subintervals of bounded lattice
Öz
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.
Anahtar Kelimeler
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