On fuzzy bases of vector spaces

K. S. Abdukhalikov; M. S. Tulenbaev; U. U. Umirbaev

doi:10.1016/0165-0114(94)90350-6

On fuzzy bases of vector spaces

K. S. Abdukhalikov, M. S. Tulenbaev, U. U. Umirbaev

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

In this paper the concept of fuzzy basis of fuzzy vector space is studied. The criterion for existence of fuzzy basis is proved. Any countable dimensional space has a fuzzy basis. There are spaces without fuzzy basis.

Original language	English
Pages (from-to)	201-206
Number of pages	6
Journal	Fuzzy Sets and Systems
Volume	63
Issue number	2
DOIs	https://doi.org/10.1016/0165-0114(94)90350-6
Publication status	Published - Apr 25 1994
Externally published	Yes

Keywords

Fuzzy vector spaces
fuzzy basis

ASJC Scopus subject areas

Logic
Artificial Intelligence

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10.1016/0165-0114(94)90350-6

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title = "On fuzzy bases of vector spaces",

abstract = "In this paper the concept of fuzzy basis of fuzzy vector space is studied. The criterion for existence of fuzzy basis is proved. Any countable dimensional space has a fuzzy basis. There are spaces without fuzzy basis.",

keywords = "Fuzzy vector spaces, fuzzy basis",

author = "Abdukhalikov, {K. S.} and Tulenbaev, {M. S.} and Umirbaev, {U. U.}",

year = "1994",

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AU - Abdukhalikov, K. S.

AU - Tulenbaev, M. S.

AU - Umirbaev, U. U.

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Y1 - 1994/4/25

N2 - In this paper the concept of fuzzy basis of fuzzy vector space is studied. The criterion for existence of fuzzy basis is proved. Any countable dimensional space has a fuzzy basis. There are spaces without fuzzy basis.

AB - In this paper the concept of fuzzy basis of fuzzy vector space is studied. The criterion for existence of fuzzy basis is proved. Any countable dimensional space has a fuzzy basis. There are spaces without fuzzy basis.

KW - Fuzzy vector spaces

KW - fuzzy basis

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SP - 201

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JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 2

ER -

On fuzzy bases of vector spaces

Abstract

Keywords

ASJC Scopus subject areas

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