Interval-valued fuzzy ideals in ternary semirings

J. Jayaraj; D. Krishnaswamy

doi:10.26637/mjm401/003

Abstract

In this paper we introduce the notion of interval-valued fuzzy ternary subsemirings and interval-valued fuzzy ideals in ternary semirings and investigate some of the properties. Also the homomorphism image and inverse image are investigated.

Keywords:

Interval-valued fuzzy ternary subsemirings, interval-valued fuzzy ideal

Mathematics Subject Classification:

08A72, 16Y60, 20M12, 17A40

Authors Imprint References Funding Related Articles Downloads

J. Jayaraj Mathematics Wing (D.D.E), Annamalai University, Annamalai nagar - 608 002, India.
D. Krishnaswamy Department of Mathematics, Annamalai University, Annamalai nagar - 608 002, India.

Pages: 19-24
Date Published: 01-01-2016
Vol. 4 No. 01 (2016): Malaya Journal of Matematik (MJM)

T.K.Dutta, S. Kar, On regular temary semirings, Advances in Algebra, Procerliens of the ICM Satellite Couference in A Syebnt and Related Toynics, World Scientific, Pp. 343-355, (2003). DOI: https://doi.org/10.1142/9789812705808_0027

T.K.Dutta, S, Kar, On the Jacobson radical of a ternary semiring, SEA Buil. Math., 28 1, (2004) 1-13.

T.K.Dutta, 5. Kar, A note on the Jacobson radicals of ternary semirings, SEA Bu[l. Matti., V29, N2, pp. $321-331,(2005)$.

T.K.Dutta, S. Kar, Two types of Jacobson rudicals of ternary semirings,SEA Bull. Math., V29, N4, Pp. $677-687,(2005)$

T.K.Dutta, S. Kar, On prime ideals and prime radical of temary semirings, BudI. Cal. Math. Soc., V97, N5, Pp. 445-454, (2005).

T.K.Dutta, S. Kar, On semiprime ideals and irneducible ideals of temary semirings,BuIl. Cal. Math. Socir $mathrm{V} 97, mathrm{~N} 5, mathrm{pp}, 467-476,(2005)$.

T.K.Dutta, S. Kar, A note on regular ternary semirings, Kyıiggoak Math. J., V46, N3, Pp. 357-365, (2006).

I. Grattan Guiness, Fuzzy membership mapped onto interval and manu-valued quantities, Z. Math. Logik. Grundliaden Math, 32(3), 409-424, (2009).

K.U. Jahn, Intervall-wertige mengen Math. Nach., 68, 115-132, (1975). DOI: https://doi.org/10.1002/mana.19750680109

S.Kar, On quasi-ideals and bi-ideals in ternary semirings, Int. J. Moth. Meth. 5ci, V2005, N18, pp. 3015$3023,(2005)$ DOI: https://doi.org/10.1155/IJMMS.2005.3015

J. Kavikumar, A.B. Khamis, Fuzzy ideals and fuzzy quasi-ideals in ternary semirings, LAENG Jnt. J. Appi. Math., V37, N2, Pp. 102-106, (2007).

D.H.Lehmer, A temary analogue of abelian groups, Amer. J. Moth. V59, pp. 329-338, (1932). DOI: https://doi.org/10.2307/2370997

W.G.Lister, Temary rings, Trans, Amer. Meth. Soc, V154, PP, 37-55, (1971). DOI: https://doi.org/10.1090/S0002-9947-1971-0272835-6

R. Sambuc Fonctions $phi$-floues Ph.D thesis, Univ. Marseille, France, (1975).

L.A Zadeh, Fuzzy sets, Jrifurm. and Cantrut., V8, pp. 338-363, (1965) DOI: https://doi.org/10.1016/S0019-9958(65)90241-X

L.A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning Jnform. and Control, 8, pp. 199-249, (1975). DOI: https://doi.org/10.1016/0020-0255(75)90036-5