Araştırma Makalesi

An order UV obtained by uninorm and nullnorm

Cilt: 5 Sayı: 2 30 Mart 2017
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An order UV obtained by uninorm and nullnorm

Abstract

Uninorms and nullnorms are hot topics to study nowadays. In this paper, a new order definition on bounded lattice is given using the uninorm and nullnorm on sub-interval of bounded lattice order defined on. Some interesting properties of the order are investigated. It is posed that even if L chain with order defined on, L may not be chain with the order UV.

Keywords

Kaynakça

  1. E. Asici, An order induced by nullnorms and its properties, Fuzzy Sets and Systems http://dx.doi.org/10.1016/j.fss.2016.12.004.
  2. G. Birkhoff, Lattice Theory, 3 rd edition, Providence, 1967.
  3. T. Calvo, B. DeBaets, J. Fodor, The functional equations of Frank and Alsina for uninorms and nullnorm, Fuzzy Sets and Systems 120 (2001) 385-394.
  4. G. D. Cayli, F. Karacal, R.Mesiar, On a new class of uninorms on bounded lattices, Information Sciences 367-368 (2016) 221-231.
  5. U. Ertugrul, F. Karacal, R. Mesiar, Modified ordinal sums of triangular norms and triangular conorms on bounded lattices, International Journal of Intelligent Systems, 30 (2015) 807-817.
  6. U. Ertugrul, M. N. Kesicioglu, F. Karac¸al, Ordering based on uninorms, Information Sciences, 330 (2016), 315-327.
  7. U. Ertugrul,M. N. Kesicioglu, F. Karac¸al, Ordering based 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

6 Mart 2017

Kabul Tarihi

24 Nisan 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 5 Sayı: 2

Kaynak Göster

APA
Ertugrul, U. (2017). An order UV obtained by uninorm and nullnorm. New Trends in Mathematical Sciences, 5(2), 47-52. https://izlik.org/JA38DY99EM
AMA
1.Ertugrul U. An order UV obtained by uninorm and nullnorm. New Trends in Mathematical Sciences. 2017;5(2):47-52. https://izlik.org/JA38DY99EM
Chicago
Ertugrul, Umit. 2017. “An order UV obtained by uninorm and nullnorm”. New Trends in Mathematical Sciences 5 (2): 47-52. https://izlik.org/JA38DY99EM.
EndNote
Ertugrul U (01 Mart 2017) An order UV obtained by uninorm and nullnorm. New Trends in Mathematical Sciences 5 2 47–52.
IEEE
[1]U. Ertugrul, “An order UV obtained by uninorm and nullnorm”, New Trends in Mathematical Sciences, c. 5, sy 2, ss. 47–52, Mar. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA38DY99EM
ISNAD
Ertugrul, Umit. “An order UV obtained by uninorm and nullnorm”. New Trends in Mathematical Sciences 5/2 (01 Mart 2017): 47-52. https://izlik.org/JA38DY99EM.
JAMA
1.Ertugrul U. An order UV obtained by uninorm and nullnorm. New Trends in Mathematical Sciences. 2017;5:47–52.
MLA
Ertugrul, Umit. “An order UV obtained by uninorm and nullnorm”. New Trends in Mathematical Sciences, c. 5, sy 2, Mart 2017, ss. 47-52, https://izlik.org/JA38DY99EM.
Vancouver
1.Umit Ertugrul. An order UV obtained by uninorm and nullnorm. New Trends in Mathematical Sciences [Internet]. 01 Mart 2017;5(2):47-52. Erişim adresi: https://izlik.org/JA38DY99EM