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Some properties of orders generated by uninorm and 2-uninorm

Cilt: 5 Sayı: 1 1 Ocak 2017
  • Umit Ertugrul *
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Some properties of orders generated by uninorm and 2-uninorm

Abstract


In this paper, the order definition obtained from uninorm has been reorganized and some features have been examined in this way. Order-weakest uninorm and order-strongest uninorm was determined. Using the notions of order-weakest uninorm and order-strongest uninorm, order-weakest 2-uninorm and order-strongest 2-uninorm was also determined. A way to obtain partially ordered relation via orders obtained from uninorms on subinterval of bounded lattice is given. The relation between the order obtained 2-uninorm and this new construction method is investigated.


Keywords

Kaynakça

  1. P. Akella, C-sets of n-uninorms, Fuzzy Sets and Systems, 160 (2009), 1-21.
  2. P. Akella, Structure of n-uninorms, Fuzzy Sets and Systems, 158 (2007), 1631-1651.
  3. E. Aşıcı, F. Karaçal, On the T-partial order and properties, Information Sciences, 267 (2014), 323-333.
  4. G. Birkhoff, Lattice Theory, 3 rd edition, Providence, 1967.
  5. P. Drygaś, E. Rak, Distributivity equation in the class of 2-uninorms, Fuzzy Sets and Systems, 2016 (291), 82-97.
  6. 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.
  7. Ü. Ertuğrul, M. N. Kesicioğlu, F. Karaçal, Ordering based on uninorms, Information Sciences, 330 (2016), 315-327.
  8. Ü. Ertuğrul, M. N. Kesicioğlu, F. Karaçal, Ordering based 2-uninorms on bounded lattices, New Trends in Mathematical Sciences, in press.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Umit Ertugrul * Bu kişi benim
Türkiye

Yayımlanma Tarihi

1 Ocak 2017

Gönderilme Tarihi

4 Şubat 2017

Kabul Tarihi

27 Şubat 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 5 Sayı: 1

Kaynak Göster

APA
Ertugrul, U. (2017). Some properties of orders generated by uninorm and 2-uninorm. New Trends in Mathematical Sciences, 5(1), 278-286. https://izlik.org/JA67TF82AR
AMA
1.Ertugrul U. Some properties of orders generated by uninorm and 2-uninorm. New Trends in Mathematical Sciences. 2017;5(1):278-286. https://izlik.org/JA67TF82AR
Chicago
Ertugrul, Umit. 2017. “Some properties of orders generated by uninorm and 2-uninorm”. New Trends in Mathematical Sciences 5 (1): 278-86. https://izlik.org/JA67TF82AR.
EndNote
Ertugrul U (01 Ocak 2017) Some properties of orders generated by uninorm and 2-uninorm. New Trends in Mathematical Sciences 5 1 278–286.
IEEE
[1]U. Ertugrul, “Some properties of orders generated by uninorm and 2-uninorm”, New Trends in Mathematical Sciences, c. 5, sy 1, ss. 278–286, Oca. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA67TF82AR
ISNAD
Ertugrul, Umit. “Some properties of orders generated by uninorm and 2-uninorm”. New Trends in Mathematical Sciences 5/1 (01 Ocak 2017): 278-286. https://izlik.org/JA67TF82AR.
JAMA
1.Ertugrul U. Some properties of orders generated by uninorm and 2-uninorm. New Trends in Mathematical Sciences. 2017;5:278–286.
MLA
Ertugrul, Umit. “Some properties of orders generated by uninorm and 2-uninorm”. New Trends in Mathematical Sciences, c. 5, sy 1, Ocak 2017, ss. 278-86, https://izlik.org/JA67TF82AR.
Vancouver
1.Umit Ertugrul. Some properties of orders generated by uninorm and 2-uninorm. New Trends in Mathematical Sciences [Internet]. 01 Ocak 2017;5(1):278-86. Erişim adresi: https://izlik.org/JA67TF82AR