K. P. DEEPA and DR. S. CHENTHUR PANDIAN (2012) EXTENSION OF THE PROJECTION THEOREM ON HILBERT SPACE TO FUZZY HILBERT SPACE OVER FUZZY NUMBER SPACE

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EXTENSION OF THE PROJECTION THEOREM ON HILBERT SPACE TO FUZZY HILBERT SPACE OVER FUZZY NUMBER SPACE

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CONTRIBUTORS:

	Author:	K. P. DEEPA
	Author:	DR. S. CHENTHUR PANDIAN

JOURNAL:

International Journal of Engineering Science and Technology (IJEST), 4(5), 2334 - 2339.

YEAR:

2012

PUB TYPE:

Journal Article

SUBJECT(S):

Fuzzy number space, fuzzy number mapping, fuzzy inner product space, fuzzy Hilbert space, fuzzy orthogonality, fuzzy orthonormality, fuzzy orthonormal basis, fuzzy complement subset.

DISCIPLINE:

Engineering and Applied Sciences

HTTP:

http://www.ijest.info/docs/IJEST12-04-05-176.pdf

LANGUAGE:

English

PUB ID:

103-503-558 (Last edited on 2012/06/12 04:31:35 GMT-6)

SPONSOR(S):

ABSTRACT:
In this paper, we extend the projection theorem on Hilbert space to its fuzzy version over fuzzy number space embedded with fuzzy number mapping. To prove this we discuss the concepts of fuzzy Hilbert space over fuzzy number space with fuzzy number mapping. The fuzzy orthogonality, fuzzy orthonormality, fuzzy complemented subset property etc. of fuzzy Hilbert space over fuzzy number space using fuzzy number mapping also been discussed.

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