Complex intuitionistic fuzzy soft lattice ordered group associated with ℓ-ideal
S. Rajareegareega948@gmail.comDepartment of Mathematics Alagappa UniversityKaraikudi, Tamil Nadu, 630003, IndiaView full profile → , *J. VimalaCorresponding authorvimaljey@alagappauniversity.ac.inDepartment of Mathematics Alagappa UniversityKaraikudi, Tamil Nadu, 630003, IndiaView full profile → , D. Preethipreethi06061996@gmail.comDepartment of Mathematics Alagappa UniversityKaraikudi, Tamil Nadu, 630003, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Mar 2021
- Accepted:
- 01 Jun 2021
- Published Online:
- 08 Mar 2022
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-1423
- Pages:
- 991–1003
Abstract
Keywords
Subject Classifications
References
[1] Abdallah Al-Husban, Abdul Razak Salleh and Nasruddin Hassan, Complex fuzzy normal subgroup, AIP Conference Proceedings, 1678, 060008 (2015).
[2] N. Ajmal, Fuzzy lattices, Inform. Sci., 79, (1994), pp. 271-291.
[3] A.U.M. Alkouri and A.R. Salleh, Complex Intuitionistic Fuzzy Sets, AIP Conference Proceedings, 1482, (2012), pp.464-470.
[4] P. Bharathi, J. Vimala, The Role of Fuzzy l-ideals in a Commutative l-group, Global Journal of Pure and Applied Mathematics, 12(3), (2016), pp. 2067-2074.
[5] G. Birkhoff, Lattice Ordered Group, JSTOR Annals of Mathematics, Second Series, 43(2), (1942), pp. 298-331.
[6] J.J. Buckley, Fuzzy complex numbers, Fuzzy Sets and Systems, 33, (1989), pp. 333-345.
[7] Paul F. Conrad, Lattice ordered groups, Tulane Lecture notes, New Orleans 1970.
[8] T. Kumar and R. K. Bajaj, On complex intuitionistic fuzzy soft sets with distance measures and entropies, Journal of Mathematics, (2014), pp. 1-12.
[9] Mikhled O. Alsarahead and ABD Ghafur Ahmad, Complex fuzzy soft group, Journal of Quality Measurement and Analysis, 13(2), (2017), pp. 17-28.
[10] M. Gulzar, M. H. Mateen, D. Alghazzawi and N. Kausar, A novel applications of complex intuitionistic fuzzy sets in group theory, IEEE Access, 9, (2020), pp. 196075-196085.
[11] D. Preethi, J. Vimala, B. Davvaz, S. Rajareega, Biological inheritance on fuzzy hyperlattice ordered group, Journal of Intelligent & Fuzzy Systems, 38(5), (2020), 6457-6464.
[12] D. Preethi, J. Vimala and S. Rajareega, A systematic study in the applications of fuzzy hyperlattice, AIMS Mathematics, 6(2) (2020) 1695-1705.
[13] D. Preethi, and J. Vimala, S. Rajareega, M. Al-Tahan, Fuzzy hyperlattice ordered d - group and its application on ABO blood group system, Journal of Intelligent & Fuzzy Systems, (2021), DOI: 10.3233/JIFS-189853.
[14] S.G. Quek, G. Selvachandran, B. Davvaz, M. Pal, The algebraic structures of complex intuitonistic fuzzy soft sets associated with groups and subgroups, Scientia Iranica, 26(3), (2019), pp. 1898-1912.
[15] S.Rajareega and J. Vimala, Operations on complex intuitionistic fuzzy soft lattice ordered group and CIFS-COPRAS method for equipment selection process, Journal of Intelligent & Fuzzy Systems, (2021), DOI: 10.3233/JIFS-189890.
[16] S. Rajareega, J. Vimala, D. Preethi, Complex Intuitionistic Fuzzy Soft Lattice Ordered Group and Its Weighted Distance Measures, Mathematics, 8, 705, (2020).
[17] S. Rajareega, J. Vimala, D. Preethi, The Role of (,)ab - Level set on Complex Intuitionistic Fuzzy Soft Lattice Ordered Groups, International Journal of Advanced Science and Technology, 28(9), (2019), pp. 116-123.
[18] D. Ramot, R. Milo, M. Friedman and A. Kandel, Complex fuzzy sets, IEEE Transactions on Fuzzy Systems, 10(2), (2002), pp. 171-186.
[19] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35, pp. 512-517 (1971).
[20] G.S.V. Satya Saibaba, Fuzzy Lattice Ordered Groups, Southeast Asian Bulletin of Mathematics, 32, (2008), pp. 749-766.
[21] G.S.V. Satya Saibaba, Fuzzy convex sub l-groups, Annals of Fuzzy Mathematics and Informatics , 11(6), (2016), pp. 989-1001.
[22] K.L.N. Swamy and U.M. Swamy, Fuzzy Prime ideals of rings, J. Math. Anal. Appl., 134, (1988), pp. 94-103.
[23] J. Vimala, Fuzzy Lattice Ordered Group, International Journal of Scientific and Engineering Research, 5(9), (2014), pp. 58-60.
[24] J. Vimala, VS. Anusuya Ilamathi, S. Rajareega, Implicative and positive implicative filters of residuated lattices in multiset context, Journal of Discrete Mathematical Sciences and Cryptography, 22 (5), (2019), pp. 869-882.
[25] L.A. Zadeh, Fuzzy sets, Information and control 8(3), (1965), pp. 338-353.




