2018
DOI: 10.29304/jqcm.2018.10.3.402
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Properties of Compact fuzzy Normed Space

Abstract: In this paper we recall the definition of fuzzy norm then basic properties of fuzzy  normed space is recalled after that we introduced the definition of compact fuzzy  normed space. Then basic properties of compact fuzzy normed space is proved.

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Cited by 5 publications
(7 citation statements)
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“…Various concepts related to fuzzy set are developed based on this definition 2.1. Among other are the development of fuzzy point that is discussed in [1], [13][14][15][16][17][18], [22][23][24] and [32]. The concept of fuzzy point is as follows.…”
Section: Preliminariesmentioning
confidence: 99%
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“…Various concepts related to fuzzy set are developed based on this definition 2.1. Among other are the development of fuzzy point that is discussed in [1], [13][14][15][16][17][18], [22][23][24] and [32]. The concept of fuzzy point is as follows.…”
Section: Preliminariesmentioning
confidence: 99%
“…For any vector space Y over a field L and B  be a fuzzy set in Y, it is defined function , : The next, the definition of Fn-NS that is approached using fuzzy point is given as discussed on [22]. Clearly, it is not the same from definition in [4], [18] and [37][38]. (1)…”
Section: And ( ) ( )mentioning
confidence: 99%
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“…Kider [14], introduced the notion of fuzzy absolute value and studied properties of finite dimensional fuzzy normed space. The concept of general fuzzy normed space was presented by Kider and Gheeab in 2019 [15]. They proved basic properties of this space and the general fuzzy normed space GFB(V, U) [16].…”
Section: Introductionmentioning
confidence: 99%
“…The concept of general fuzzy normed space were presented by Kider and Gheeab in 2019, [9] [10] also they proved basic properties of this space and the general fuzzy normed space GFB (V, U). Kider and Kadhum in 2019, [11] introduce the notion fuzzy compact linear operator and proved its basic properties.…”
Section: Introductionmentioning
confidence: 99%