IJPAM: Volume 98, No. 3 (2015)

FUZZY $\Gamma$-SEMIRINGS

Y. Bhargavi$^1$, T. Eswarlal$^2$
Department of Mathematics
K.L. University
Green Fields, Vaddeswaram, 522 502, INDIA


Abstract. In this paper we introduce and study the concept of fuzzy $\Gamma$-semiring and investigated some of the properties related to them. Further we studiey fuzzy ideals on $\Gamma$-semirings and established a one-one correspondence between fuzzy left(right) ideal of a $\Gamma$-semiring $R$ and level set $\mu_{t}$, $t\in [0,1]$ left (right) ideal of $R$.

Received: September 14, 2014

AMS Subject Classification: 08A72, 20N25, 03E72

Key Words and Phrases: fuzzy $\Gamma$-semiring, fuzzy left ideal, fuzzy right ideal

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DOI: 10.12732/ijpam.v98i3.6 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: 2015
Volume: 98
Issue: 3
Pages: 339 - 349


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