(λ, μ)-Intuitionistic Fuzzy Subgroups of Groups with Operators
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32797
(λ, μ)-Intuitionistic Fuzzy Subgroups of Groups with Operators

Authors: Shaoquan Sun, Chunxiang Liu

Abstract:

The aim of this paper is to introduce the concepts of the (λ, μ)-intuitionistic fuzzy subgroups and (λ, μ)-intuitionistic fuzzy normal subgroups of groups with operators, and to investigate their properties and characterizations based on M-group homomorphism.

Keywords: Intuitionistic fuzzy group, , μ)-intuitionistic fuzzy subgroup of groups with operators, , μ)-intuitionistic fuzzy normal subgroup of groups with operators, M-group homomorphism.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1127296

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1702

References:


[1] L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, 1965, pp. 338-353.
[2] T.K. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 20, 1986, pp. 87-96.
[3] W. X. Gu, S. Y. Li, D. G. Chen, “Fuzzy group with operators,” Fuzzy Sets and Systems, vol. 66, 1994, pp. 363-371.
[4] P. Burillo, H. Bustince, “Entropy on intuitionistic fuzzy sets and on interval valued fuzzy sets,” Fuzzy Sets and Systems, vol. 78, 1996, pp. 305-316.
[5] H. Bustince, P. Burillo, “Structures on intuitionistic fuzzy relations,” Fuzzy Sets and Systems, vol. 78, 1996, pp. 293-303.
[6] Dogan Coker. “An introduction to intuitionistic fuzzy topllogic spaces,” Fuzzy Sets and Systems, vol. 88, 1997, pp. 81-89.
[7] Hur K, Kang H W and Song H K, “Intuitionistic fuzzy subgroups and subrings,” Honam Math. J., vol. 25, 2003, pp. 19-41.
[8] X. P. Li, G. J. Wang, “Intuitionistic fuzzy group and homomorphisic image,” Fuzzy Systems and Mathematics, vol. 14, 2000, pp. 45-50.
[9] X. P. Li, J. H. Wang, “Intuitionistic fuzzy normal subgroup and homomorphisic image,” Journal of Northeast Normal University.
[10] L. M. Lei, “The cut subsets of the intuitionistic fuzzy groups and intuitionistic fuzzy normal subgroups,” Journal of Zhangzhou Normal University, Natural Science Edition, vol. 18, 2005, pp. 7-9.
[11] C. X. Bo, F. Zhou, “(λ, μ)-intuitionistic fuzzy subgroups,” Journal of Liaocheng University, Natural Science Edition, vol. 27, 2014, pp. 5-9.
[12] Q. Q. Li, S. Q. Sun, “Intuitionistic Fuzzy Implicative Ideals with Thresholds (λ, μ) of BCI-Algebras,” International Journal of Mathematical, Computational Science and Engineering, vol. 7, 2013, pp. 1093-1097.
[13] S. K. Bhakat, P. Das, “On the definition of a fuzzy subgroup,” Fuzzy Sets and Systems, vol. 51, 1992, pp. 235-241.
[14] N. Jacbson, Lectures in Abstract Algebra (East West Press, 1951).