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Issue:Properties of interval-valued intuitionistic fuzzy vector spaces

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Title of paper: Properties of interval-valued intuitionistic fuzzy vector spaces
Author(s):
R. Santhi
PG and Research Department of Mathematics, Nallamuthu Gounder Mahalingam College, Pollachi, Tamil Nadu, 642001 India
santhifuzzy@yahoo.co.in
N. Udhayarani
Department of Mathematics, Nallamuthu Gounder Mahalingam College, Pollachi, Tamil Nadu, 642001 India
udhayaranin@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 1, pages 12–20
DOI: https://doi.org/10.7546/nifs.2019.25.1.12-20
Download:  PDF (200  Kb, File info)
Abstract: In this paper we introduced and studied the properties of interval-valued intuitionistic fuzzy vector spaces (in brief IVIF space) and its IVIF standard basis. We use the concept of

max-union and min-intersection algebra to define interval-valued ituitionistic fuzzy vector space.

Keywords: Interval-valued intuitionistic fuzzy vector space, IVIF subspace, IVIF span, IVIF spanning set, dim(S), IVIF basis, IVIF standard basis.
AMS Classification: 46A40, 52A07.
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