Research Article

Ordering based 2-uninorm on bounded lattice

Volume: 5 Number: 1 January 1, 2017
  • Umit Ertugrul *
  • Mucahide Nesibe Kesicioglu
  • Funda Karacal
EN

Ordering based 2-uninorm on bounded lattice

Abstract


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.


Keywords

References

  1. P. Akella, Structure of n-uninorms, Fuzzy Sets and Systems, 158 (2007), 1631-1651.
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  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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Umit Ertugrul * This is me
Türkiye

Mucahide Nesibe Kesicioglu This is me
Türkiye

Funda Karacal This is me
Türkiye

Publication Date

January 1, 2017

Submission Date

January 15, 2017

Acceptance Date

February 10, 2017

Published in Issue

Year 2017 Volume: 5 Number: 1

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, and 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 (January 1, 2017) Ordering based 2-uninorm on bounded lattice. New Trends in Mathematical Sciences 5 1 287–293.
IEEE
[1]U. Ertugrul, M. N. Kesicioglu, and F. Karacal, “Ordering based 2-uninorm on bounded lattice”, New Trends in Mathematical Sciences, vol. 5, no. 1, pp. 287–293, Jan. 2017, [Online]. Available: 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 (January 1, 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, et al. “Ordering Based 2-Uninorm on Bounded Lattice”. New Trends in Mathematical Sciences, vol. 5, no. 1, Jan. 2017, pp. 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]. 2017 Jan. 1;5(1):287-93. Available from: https://izlik.org/JA79UC88ZW