IJPAM: Volume 112, No. 5 (2017)

Title

FUZZY IMPLICATIVE $\beta-$ideals OF $\beta-$ALGEBRAS

Authors

K. Rajam$^1$, M. Chandramouleeswaran$^2$
$^1$Mohamed Sathak Engineering College
Kilakarai, 623 806, Tamilnadu, INDIA
$^2$Saiva Bhanu Kshatriya College
Aruppukottai, 626 101, Tamilnadu, INDIA

Abstract

In this paper, we introduce the notion of fuzzy implicative $\beta-$ideals of $\beta-$algebras and investigate some of their properties.

History

Received: January 3, 2017
Revised: February 5, 2017
Published: March 30, 2017

AMS Classification, Key Words

AMS Subject Classification: 03E72, 06F35, 03G25
Key Words and Phrases: $\beta-$algebras, fuzzy $\beta-$subalgebra, fuzzy implicative $\beta-$ideals

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Bibliography

1
M.Abu Ayub Ansari and M.Chandramouleeswaran, Fuzzy $\beta-$ideals of $\beta-$algebras., International.J of Maths.Sci and Engg.Appls. Vol.8 no.1 January 2014,pp.1-10.

2
L.Goguen, J.A., L-fuzzy sets, J.Maths. Analysis, Appls.18(1967), 145-174.

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S.M.Mostafa Fuzzzy implicative ideals in BCK-algebras, Fuzzy Sets and Systems, 87(1997), 361-368.

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J. Neggers and H.S.Kim, On $\beta-$algebras, Math. Slovaca 52(2002). no.5, 517-530.

6
K.Rajam and M.Chandramouleeswaran, $L-$ Fuzzy $\beta-$ ideals of $\beta-$algebras., International Mathematical forum, Vol.10, 2015,No.8, 395-403,Hikari Ltd.

7
L.A. Zadeh, Fuzzy sets, Inform.control 8(1965), 338-353.

How to Cite?

DOI: 10.12732/ijpam.v112i5.17 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 5
Pages: 149 - 157


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