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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 30 | Number 1 | Year 2016 | Article Id. IJMTT-V30P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V30P507

Homomorphism and Anti Homomorphism of L-Fuzzy Quotient ℓ-Group


K.Sunderrajan, A.Senthilkumar, R.Muthuraj
Abstract

This paper contains some definitions and results of L-fuzzy quotient ℓ-group and its generalized characteristics.

Keywords
Fuzzy set, L -fuzzy set, L-fuzzy sub ℓgroup, Lfuzzy quotient ℓgroup , homomorphism and anti homomorphism L-fuzzy quotient ℓ-group.
References

[1]. Azriel Rosenfeld, Fuzzy Groups, Journal of mathematical analysis and applications, 35, 512-517 (1971).
[2]. Garrett Birkhof : Lattice Theory, American Mathematical Society colloquium publications, Volume XXV.
[3]. J.A. Goguen : L-fuzzy sets, J.Math.Anal.Appl. 18, 145-174 (1967).
[4]. Kumar.I.J, P.K. Saxena and P.Yadav: Fuzzy normal subgroups and fuzzy quotients, Fuzzy Sets and Systems 46(1992), 121-132.
[5]. Ajmal.N : Homomorphism of fuzzy groups , correspondence theorem and fuzzy quotient Subgroups, Fuzzy sets and systems 61(1994), 329- 339.
[6]. Morsi.N.N and Yehia.S.E.B: Fuzzy Quotient groups, Inform.Sci 81(1994), 177-191
[7]. Satya Saibaba.G.S.V, Fuzzy Lattice Ordered Groups, Southeast Asian Bulletin of Mathematics , 32, 749-766 (2008).
[8]. K.Sunderrajan, A.Senthilkumar, Properties of Lfuzzy normal sub ℓ -groups, General Mathematical Notes , Vol. 22, No. 1, May 2014, pp. 93-99.
[9]. L.A. Zadeh : Fuzzy sets, Inform and control, 8, 338-353 (196).

Citation :

K.Sunderrajan, A.Senthilkumar, R.Muthuraj, "Homomorphism and Anti Homomorphism of L-Fuzzy Quotient ℓ-Group," International Journal of Mathematics Trends and Technology (IJMTT), vol. 30, no. 1, pp. 39-42, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V30P507

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