L-metric on the space of L-fuzzy numbers

L-metric on the space of L-fuzzy numbers

In this article, a natural L-topology is constructed on the set of L-fuzzy numbers, which is called the standard L-topology. It is proved that the standard L-topology can be induced by an L-metric. The space of trapezoidal fuzzy numbers can be regarded as a subspace of the space of L-fuzzy numbers....

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Veröffentlicht in:Fuzzy sets and systems 2020-11, Vol.399, p.95-109
1. Verfasser: Shi, Fu-Gui
Format: Artikel
Sprache:eng
Schlagworte:
Computer Science
Computer Science, Theory & Methods
L-fuzzy number
L-metric
L-topology
Mathematics
Mathematics, Applied
Physical Sciences
Science & Technology
Statistics & Probability
Technology
Trapezoidal fuzzy numbers
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Zusammenfassung:In this article, a natural L-topology is constructed on the set of L-fuzzy numbers, which is called the standard L-topology. It is proved that the standard L-topology can be induced by an L-metric. The space of trapezoidal fuzzy numbers can be regarded as a subspace of the space of L-fuzzy numbers. An L-metric on the set of trapezoidal fuzzy numbers is presented.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2020.03.015