Ordering based 2-uninorm on bounded lattice
Öz
In this paper, an order induced by 2-uninorm on
bounded lattices is given and some properties of the order are discussed. By
defining such an order on bounded lattice, the T-partial order, S-partial order
and V-partial order are extended to a more general form.
Anahtar Kelimeler
Kaynakça
- P. Akella, Structure of n-uninorms, Fuzzy Sets and Systems, 158 (2007), 1631-1651.
- G. Birkhoff, Lattice Theory, 3 rd edition, Providence, 1967.
- P. Drygaś, E. Rak, Distributivity equation in the class of 2-uninorms, Fuzzy Sets and Systems, 2016 (291), 82-97.
- Ü. Ertuğrul, F. Karaçal, R. Mesiar, Modified ordinal sums of triangular norms and triangular conorms on bounded lattices, International Journal of Intelligent Systems, 30 (2015) 807-817.
- Ü. Ertuğrul, M. N. Kesicioğlu, F. Karaçal, Ordering based on uninorms, Information Sciences, 330 (2016), 315-327.
- J. Fodor, R. Yager, and A. Rybalov, Structure of uninorms, Internata. J. Uncertain. Fuzziness Knowledge-Based Systems, 5 (1997), 411-427.
- M. Grabisch, J.-L. Marichal, R. Mesiar, E. Pap, Aggregation Functions, Cambridge University Press, 2009.
- D. Hline ̆ná, M. Kalina, P. Král, Pre-orders and orders generated by conjunctive uninorms, Information Processing and Management of Uncertainty in Knowledge-Based Systems Communications in Computer and Information Science, 444 (2014), 307-316.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yazarlar
Umit Ertugrul
*
Bu kişi benim
Türkiye
Mucahide Nesibe Kesicioglu
Bu kişi benim
Türkiye
Funda Karacal
Bu kişi benim
Türkiye
Yayımlanma Tarihi
1 Ocak 2017
Gönderilme Tarihi
15 Ocak 2017
Kabul Tarihi
10 Şubat 2017
Yayımlandığı Sayı
Yıl 2017 Cilt: 5 Sayı: 1