Fuzzy Inner Product Spaces

D. Antony Xavier1, Magie Jose2
1Racine Research Centre, Loyola College, Chennai-300 084. India.
2Department of Mathematics, St. Mary’s College, Trichur, Kerala, India.

Abstract

In this paper, a fuzzy inner product on a real vector space is introduced. The notion of fuzzy inner product is defined. Some of its properties are studied.

Keywords: Fuzzy norm, Fuzzy normed linear space, Fuzzy inner product space.