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Ordering based 2-uninorm on bounded lattice

Cilt: 5 Sayı: 1 1 Ocak 2017
  • Umit Ertugrul *
  • Mucahide Nesibe Kesicioglu
  • Funda Karacal
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EN

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

  1. P. Akella, Structure of n-uninorms, Fuzzy Sets and Systems, 158 (2007), 1631-1651.
  2. G. Birkhoff, Lattice Theory, 3 rd edition, Providence, 1967.
  3. P. Drygaś, E. Rak, Distributivity equation in the class of 2-uninorms, Fuzzy Sets and Systems, 2016 (291), 82-97.
  4. 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.
  5. Ü. Ertuğrul, M. N. Kesicioğlu, F. Karaçal, Ordering based on uninorms, Information Sciences, 330 (2016), 315-327.
  6. J. Fodor, R. Yager, and A. Rybalov, Structure of uninorms, Internata. J. Uncertain. Fuzziness Knowledge-Based Systems, 5 (1997), 411-427.
  7. M. Grabisch, J.-L. Marichal, R. Mesiar, E. Pap, Aggregation Functions, Cambridge University Press, 2009.
  8. 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

Kaynak Göster

APA
Ertugrul, U., Kesicioglu, M. N., & Karacal, F. (2017). Ordering based 2-uninorm on bounded lattice. New Trends in Mathematical Sciences, 5(1), 287-293. https://izlik.org/JA79UC88ZW
AMA
1.Ertugrul U, Kesicioglu MN, Karacal F. Ordering based 2-uninorm on bounded lattice. New Trends in Mathematical Sciences. 2017;5(1):287-293. https://izlik.org/JA79UC88ZW
Chicago
Ertugrul, Umit, Mucahide Nesibe Kesicioglu, ve Funda Karacal. 2017. “Ordering based 2-uninorm on bounded lattice”. New Trends in Mathematical Sciences 5 (1): 287-93. https://izlik.org/JA79UC88ZW.
EndNote
Ertugrul U, Kesicioglu MN, Karacal F (01 Ocak 2017) Ordering based 2-uninorm on bounded lattice. New Trends in Mathematical Sciences 5 1 287–293.
IEEE
[1]U. Ertugrul, M. N. Kesicioglu, ve F. Karacal, “Ordering based 2-uninorm on bounded lattice”, New Trends in Mathematical Sciences, c. 5, sy 1, ss. 287–293, Oca. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA79UC88ZW
ISNAD
Ertugrul, Umit - Kesicioglu, Mucahide Nesibe - Karacal, Funda. “Ordering based 2-uninorm on bounded lattice”. New Trends in Mathematical Sciences 5/1 (01 Ocak 2017): 287-293. https://izlik.org/JA79UC88ZW.
JAMA
1.Ertugrul U, Kesicioglu MN, Karacal F. Ordering based 2-uninorm on bounded lattice. New Trends in Mathematical Sciences. 2017;5:287–293.
MLA
Ertugrul, Umit, vd. “Ordering based 2-uninorm on bounded lattice”. New Trends in Mathematical Sciences, c. 5, sy 1, Ocak 2017, ss. 287-93, https://izlik.org/JA79UC88ZW.
Vancouver
1.Umit Ertugrul, Mucahide Nesibe Kesicioglu, Funda Karacal. Ordering based 2-uninorm on bounded lattice. New Trends in Mathematical Sciences [Internet]. 01 Ocak 2017;5(1):287-93. Erişim adresi: https://izlik.org/JA79UC88ZW