Research Article

Soft Lattice Implication Algebras Based on Fuzzy Sets

Volume: 40 Number: 4 April 1, 2011
  • Jianming Zhan
  • Yang Xu
EN TR

Soft Lattice Implication Algebras Based on Fuzzy Sets

Abstract

In this paper, we deal with soft lattice implication algebras based on fuzzy sets. Using the concepts of fuzzy (implicative) filters, (∈,∈ ∨q)- fuzzy (implicative) filters and (∈,∈∨q)-fuzzy (implicative) filters, some characterizations for ∈-soft sets and q-soft sets to be (implicative) filteristic soft lattice implication algebras are established.

Keywords

References

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  6. Maji, P. J., Roy, A. R. and Biswas, R. An application of soft sets in a decision making problem, Comput. Math. Appl. 44, 1077–1083, 2002.
  7. Maji, P. K., Biswas, R. and Roy, A. R. Soft set theory, Comput. Math. Appl. 45, 555–562, Molodtsov, D. Soft set theory - First results, Comput. Math. Appl. 37, 19–31, 1999.
  8. Pu, P. M. and Liu, Y. M. Fuzzy topology I, Neighborhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl. 76, 571–599, 1980.

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Jianming Zhan This is me

Yang Xu This is me

Publication Date

April 1, 2011

Submission Date

May 12, 2014

Acceptance Date

-

Published in Issue

Year 2011 Volume: 40 Number: 4

APA
Zhan, J., & Xu, Y. (2011). Soft Lattice Implication Algebras Based on Fuzzy Sets. Hacettepe Journal of Mathematics and Statistics, 40(4), 483-492. https://izlik.org/JA78MZ48EF
AMA
1.Zhan J, Xu Y. Soft Lattice Implication Algebras Based on Fuzzy Sets. Hacettepe Journal of Mathematics and Statistics. 2011;40(4):483-492. https://izlik.org/JA78MZ48EF
Chicago
Zhan, Jianming, and Yang Xu. 2011. “Soft Lattice Implication Algebras Based on Fuzzy Sets”. Hacettepe Journal of Mathematics and Statistics 40 (4): 483-92. https://izlik.org/JA78MZ48EF.
EndNote
Zhan J, Xu Y (April 1, 2011) Soft Lattice Implication Algebras Based on Fuzzy Sets. Hacettepe Journal of Mathematics and Statistics 40 4 483–492.
IEEE
[1]J. Zhan and Y. Xu, “Soft Lattice Implication Algebras Based on Fuzzy Sets”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 4, pp. 483–492, Apr. 2011, [Online]. Available: https://izlik.org/JA78MZ48EF
ISNAD
Zhan, Jianming - Xu, Yang. “Soft Lattice Implication Algebras Based on Fuzzy Sets”. Hacettepe Journal of Mathematics and Statistics 40/4 (April 1, 2011): 483-492. https://izlik.org/JA78MZ48EF.
JAMA
1.Zhan J, Xu Y. Soft Lattice Implication Algebras Based on Fuzzy Sets. Hacettepe Journal of Mathematics and Statistics. 2011;40:483–492.
MLA
Zhan, Jianming, and Yang Xu. “Soft Lattice Implication Algebras Based on Fuzzy Sets”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 4, Apr. 2011, pp. 483-92, https://izlik.org/JA78MZ48EF.
Vancouver
1.Jianming Zhan, Yang Xu. Soft Lattice Implication Algebras Based on Fuzzy Sets. Hacettepe Journal of Mathematics and Statistics [Internet]. 2011 Apr. 1;40(4):483-92. Available from: https://izlik.org/JA78MZ48EF