Research Article

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

Volume: 5 Number: 2 March 30, 2017
EN

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

Abstract

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.

Keywords

References

  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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

March 30, 2017

Submission Date

January 31, 2017

Acceptance Date

February 28, 2017

Published in Issue

Year 2017 Volume: 5 Number: 2

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 (March 1, 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, vol. 5, no. 2, pp. 1–9, Mar. 2017, [Online]. Available: 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 (March 1, 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, vol. 5, no. 2, Mar. 2017, pp. 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]. 2017 Mar. 1;5(2):1-9. Available from: https://izlik.org/JA86JL42KW