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A way to obtain 2-uninorm on bounded lattice from uninorms defined on subintervals of bounded lattice

Cilt: 5 Sayı: 2 30 Mart 2017
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EN

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

  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. G. Birkhoff, Lattice Theory, 3 rd edition, Providence, 1967.
  4. P. Dryga´s, E. Rak, Distributivity equation in the class of 2-uninorms, Fuzzy Sets and Systems, 2016 (291), 82-97.
  5. 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.
  6. U. Ertu˘grul, M. N. Kesicio˘glu, F. Karac¸al, Ordering base ¨ d on uninorms, Information Sciences, 330 (2016), 315-327.
  7. 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.
  8. 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

Yayımlanma Tarihi

30 Mart 2017

Gönderilme Tarihi

31 Ocak 2017

Kabul Tarihi

28 Şubat 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 5 Sayı: 2

Kaynak Göster

APA
Ertugrul, U. (2017). A way to obtain 2-uninorm on bounded lattice from uninorms defined on subintervals of bounded lattice. New Trends in Mathematical Sciences, 5(2), 1-9. https://izlik.org/JA86JL42KW
AMA
1.Ertugrul U. A way to obtain 2-uninorm on bounded lattice from uninorms defined on subintervals of bounded lattice. New Trends in Mathematical Sciences. 2017;5(2):1-9. https://izlik.org/JA86JL42KW
Chicago
Ertugrul, Umit. 2017. “A way to obtain 2-uninorm on bounded lattice from uninorms defined on subintervals of bounded lattice”. New Trends in Mathematical Sciences 5 (2): 1-9. https://izlik.org/JA86JL42KW.
EndNote
Ertugrul U (01 Mart 2017) A way to obtain 2-uninorm on bounded lattice from uninorms defined on subintervals of bounded lattice. New Trends in Mathematical Sciences 5 2 1–9.
IEEE
[1]U. Ertugrul, “A way to obtain 2-uninorm on bounded lattice from uninorms defined on subintervals of bounded lattice”, New Trends in Mathematical Sciences, c. 5, sy 2, ss. 1–9, Mar. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA86JL42KW
ISNAD
Ertugrul, Umit. “A way to obtain 2-uninorm on bounded lattice from uninorms defined on subintervals of bounded lattice”. New Trends in Mathematical Sciences 5/2 (01 Mart 2017): 1-9. https://izlik.org/JA86JL42KW.
JAMA
1.Ertugrul U. A way to obtain 2-uninorm on bounded lattice from uninorms defined on subintervals of bounded lattice. New Trends in Mathematical Sciences. 2017;5:1–9.
MLA
Ertugrul, Umit. “A way to obtain 2-uninorm on bounded lattice from uninorms defined on subintervals of bounded lattice”. New Trends in Mathematical Sciences, c. 5, sy 2, Mart 2017, ss. 1-9, https://izlik.org/JA86JL42KW.
Vancouver
1.Umit Ertugrul. A way to obtain 2-uninorm on bounded lattice from uninorms defined on subintervals of bounded lattice. New Trends in Mathematical Sciences [Internet]. 01 Mart 2017;5(2):1-9. Erişim adresi: https://izlik.org/JA86JL42KW