Some New Sets of Sequences of Fuzzy Numbers with Respect to the Partial Metric
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-01-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
In this paper, we essentially deal withKöthe-Toeplitz duals of fuzzy level sets defined using a partial metric.
Since the utilization of Zadeh’sextension principle is quite difficult in practice, we prefer the idea of level sets in order to constructsome classical notions.
In this paper, we present the sets of bounded, convergent, and null series and theset of sequences of bounded variation of fuzzy level sets, based on the partial metric.
We examine therelationships between these sets and their classical forms and give some properties including definitions,propositions, and various kinds of partial metric spaces of fuzzy level sets.
Furthermore, we study some oftheir properties like completeness and duality.
Finally, we obtain the Köthe-Toeplitz duals of fuzzy levelsets with respect to the partial metric based on a partial ordering.
American Psychological Association (APA)
Kadak, Uğur& Özlük, Muharrem. 2015. Some New Sets of Sequences of Fuzzy Numbers with Respect to the Partial Metric. The Scientific World Journal،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1079072
Modern Language Association (MLA)
Kadak, Uğur& Özlük, Muharrem. Some New Sets of Sequences of Fuzzy Numbers with Respect to the Partial Metric. The Scientific World Journal No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1079072
American Medical Association (AMA)
Kadak, Uğur& Özlük, Muharrem. Some New Sets of Sequences of Fuzzy Numbers with Respect to the Partial Metric. The Scientific World Journal. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1079072
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1079072