IJPAM: Volume 86, No. 6 (2013)

$(\lambda ,\mu)$-FUZZY STRONG $N$-INNER PRODUCT SPACE

S. Vijayabalaji$^1$, G. Shyamsundar$^2$
$^1$Department of Mathematics
University College of Engineering Panruti
(A Constituent College of Anna University Chennai)
Panruti, 607 106, Tamilnadu, INDIA
$^2$Department of Mathematics
Kongunadu College of Engineering and Technology
Tiruchirappalli, Dist-621215, Tamilnadu, INDIA


Abstract. Inspired by the theory of fuzzy strong $n$-inner product space and from the theory of $(\lambda ,\mu)$-fuzzy normal and quotient subgroups, in this paper we introduce the notion of $(\lambda ,\mu)$-fuzzy $n$-inner product space. Given two fuzzy strong $n$-inner product space we define their equivalence condition and provide some results on it.

Received: May 9, 2013

AMS Subject Classification: 46S40, 03E72

Key Words and Phrases: $n$-inner product, fuzzy $n$-inner product, fuzzy strong $n$-inner product, $\alpha$-$n$-inner product

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DOI: 10.12732/ijpam.v86i6.7 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: 2013
Volume: 86
Issue: 6