On fuzzy pseudo-normed vector spaces

Morsi, Nehad N.

doi:10.1016/0165-0114(88)90061-9

Cited by 45 publications

(15 citation statements)

References 21 publications

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“…de Prada Vicente [10] studied the Hutton [0,1]-quasi-uniformities generated by the George and Veeramani's fuzzy metric in. In [19], Morsi studied fuzzy pseudo-normed vector spaces. In [25], Yue endowed fuzzy metric with fuzzifying uniformity.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy partial (pseudo-)metric spaces

Yue

2014

Journal of Intelligent &Amp; Fuzzy Systems

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This paper attempts to generalize partial (pseudo-)metric and fuzzy (pseudo-)metric to a more general framework (in this paper, we call it fuzzy (pseudo-)partial metric). Firstly, the concept of fuzzy partial (pseudo-)metric is given. Then the relationships between partial (pseudo-)metric, fuzzy (pseudo-)metric and fuzzy partial (pseudo-)metric are investigated. Finally, fuzzy partial pseudo-metric can be endowed with many-valued topological structures.

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Section: Introductionmentioning

confidence: 99%

Fuzzy partial (pseudo-)metric spaces

Yue

2014

Journal of Intelligent &Amp; Fuzzy Systems

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“…To overcome this inconsistency, Yue and Shi [22] provided an approach to show that a GV pseudo-metric can be endowed with a fuzzifying topology and a fuzzifying uniformity. Recently, Shi [20] proposed the concepts of (L, M)-fuzzy pseudo-metrics, which are generalizations of KM metrics, Morsi's fuzzy metrics [15] and Shi's pointwise metrics. Moreover, it is shown that the (L, M)-fuzzy pseudo-metric space can be endowed with an (L, M)-fuzzy topology.…”

Section: Introductionmentioning

confidence: 99%

Characterizations of (L,M)-fuzzy pseudo-metrics by pointwise pseudo-metric chains

Pang

Shi

2014

Journal of Intelligent &Amp; Fuzzy Systems

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In this paper, the concept of pointwise pseudo-metric chains is introduced. It is shown that there is a one-to-one correspondence between (L, M)-fuzzy pseudo-metrics in the sense of Shi and pointwise pseudo-metric chains which preserve -operations. Also, it is proved that a pointwise pseudo-metric chain can induce an (L, M)-fuzzy topology which coincides with the (L, M)-fuzzy topology induced by an (L, M)-fuzzy pseudo-metric.

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“…There are many articles about metrization in L-fuzzy set theory (see [1][2][3][4][5][6][9][10][11][12][13][14][15][16]19,21,22,28,30,33,36], etc.). However the work in [1][2][3][4][5][6][9][10][11][12][13]19] cannot re ect the characteristics of pointwise Ltopology (i.e.…”

Section: Introductionmentioning

confidence: 99%

“…However the work in [1][2][3][4][5][6][9][10][11][12][13]19] cannot re ect the characteristics of pointwise Ltopology (i.e. the relation between a fuzzy point and its Q-neighborhoods) [17,23,34].…”

Section: Introductionmentioning

confidence: 99%