ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

Publication Model

Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Single-Valued Quadripartitioned Neutrosophic Lie-Ideal of Lie-Algebra

SumanDas *
* Corresponding Author.

Abstract

The main aim of this paper is to procure the concept of Single-Valued Quadripartitioned Neutrosophic Lie algebra (in short SVQN-Lie-Algebra). Besides, we study the Single-Valued Quadripartitioned Neutrosophic Lie ideal (in short SVQN-Lie-Ideal) of SVQN-Lie-Algebra. Further, we formulate several interesting results on SVQN-Lie-Algebra and SVQN-Lie-Ideal.

Keywords

SVNS SVQN-set Lie-Ideal Lie-Algebra SVQN-Lie-Algebra SVQN-Lie-Ideal

References

1.      Akram M. Anti fuzzy Lie ideals of Lie algebras. Quasigroups Related Systems. 2006; 14(2):123-132.

2.      Akram M. Intuitionistic (S, T)-fuzzy Lie ideals of Lie algebras. Quasigroups Related Systems. 2007; 15(2):201-218.

3.      Akram M. Intuitionistic fuzzy Lie ideals of Lie algebras. J. Fuzzy Math. 2008; 16(4):991-1008.

4.      Akram M. Generalized fuzzy Lie subalgebras. J. Gen. Lie Theory Appl. 2008; 2(4):261-268.

5.      Akram M. Fuzzy Lie ideals of Lie algebras with interval-valued membership function. Quasigroups Related Systems. 2008; 16(1):1-12.

6.      Akram M, Gulzar H and Shum KP. Single-Valued Neutrosophic Lie Algebras. Journal of Mathematical Research with Applications. 2019; 39(2):1-12.

7.      Akram M and Shum KP. Intuitionistic fuzzy Lie algebras. Southeast Asian Bull. Math. 2007; 31(5):843-855.

8.      Atanassov K. Intuitionistic fuzzy sets. Fuzzy Sets and Systems. 1986; 20(1):87-96.

9.      Chatterjee R, Majumdar, P and Samanta, SK. On some similarity measures and entropy on quadripartitioned single valued neutrosophic sets. Journal of Intelligent & Fuzzy Systems. 2016; 30(4):2475-2485.

10.   Coelho P and Nunes U. Lie algebra application to mobile robot control: a tutorial. Robotica. 2003; 21:483-493.

11.   Das S, Das R, Granados C and Mukherjee A. Pentapartitioned Neutrosophic Q-Ideals of Q-Algebra. Neutrosophic Sets and Systems. 2021; 41:52-63.

12.   Das S, Das R and Tripathy BC. Multi criteria group decision making model using single-valued neutrosophic set. LogForum. 2020; 16(3):421-429.

13.   Das S, Khalid AK and Smarandache F. NEUTROSOPHIC d-IDEAL OF NEUTROSOPHIC d-ALGEBRA. Neutrosophic Sets and Systems, In Press.

14.   Das S, Shil B and Tripathy BC. Tangent Similarity Measure Based MADM-Strategy under SVPNS-Environment. Neutrosophic Sets and Systems. 2021; 43:93-104.

15.   Humphreys JE. Introduction to Lie Algebras and Representation Theory. Springer, New York. 1972.

16.   Kim CG and Lee DS. Fuzzy Lie ideals and fuzzy Lie subalgebras. Fuzzy Sets and Systems. 1998; 94:101-107.

17.   Smarandache F. A unifying field in logics, neutrosophy: neutrosophic probability, set and logic. Rehoboth, American Research Press. 1998.

18.   Wang H, Smarandache F, Zhang YQ and Sunderraman R. Single valued neutrosophic sets. Multispace and Multistructure. 2010; 4:410-413.

19.   Yehia SE. Fuzzy ideals and fuzzy subalgebras of Lie algebras. Fuzzy Sets and Systems. 1996; 80(2):237-244.

20.   Yehia SE. The adjoint representation of fuzzy Lie algebras. Fuzzy Sets and Systems. 2001; 119(3):409-417.

21.   Zadeh LA. Fuzzy sets. Information and Control. 1965; 8:338-353.


Cite This Article

Choose your preferred format

format_quote
, SumanDas. "Single-Valued Quadripartitioned Neutrosophic Lie-Ideal of Lie-Algebra." International Journal of Neutrosophic Science, vol. , no. , , pp. . DOI:
, S. (). Single-Valued Quadripartitioned Neutrosophic Lie-Ideal of Lie-Algebra. International Journal of Neutrosophic Science, (), . DOI:
, SumanDas. "Single-Valued Quadripartitioned Neutrosophic Lie-Ideal of Lie-Algebra." International Journal of Neutrosophic Science , no. (): . DOI:
, S. () 'Single-Valued Quadripartitioned Neutrosophic Lie-Ideal of Lie-Algebra', International Journal of Neutrosophic Science, (), pp. . DOI:
S. Single-Valued Quadripartitioned Neutrosophic Lie-Ideal of Lie-Algebra. International Journal of Neutrosophic Science. ;():. DOI:
S. , "Single-Valued Quadripartitioned Neutrosophic Lie-Ideal of Lie-Algebra," International Journal of Neutrosophic Science, vol. , no. , pp. , . DOI:
Digital Archive Ready