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 U 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