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On Uniform Convergence of Sequences and Series of Fuzzy-Valued Functions
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-04
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The class of membership functions is restricted to trapezoidal one, as it is general enough and widely used.
In the present paper since the utilization of Zadeh’s extension principle is quite difficult in practice, we prefer the idea of level sets in order to construct for a fuzzy-valued function via related trapezoidal membership function.
We derive uniform convergence of fuzzy-valued function sequences and series with some illustrated examples.
Also we study Hukuhara differentiation and Henstock integration of a fuzzy-valued function with some necessary inclusions.
Furthermore, we introduce the power series with fuzzy coefficients and define the radius of convergence of power series.
Finally, by using the notions of H-differentiation and radius of convergence we examine the relationship between term by term H-differentiation and uniform convergence of fuzzy-valued function series.
American Psychological Association (APA)
Kadak, Uğur& Efe, Hakan. 2015. On Uniform Convergence of Sequences and Series of Fuzzy-Valued Functions. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1068335
Modern Language Association (MLA)
Kadak, Uğur& Efe, Hakan. On Uniform Convergence of Sequences and Series of Fuzzy-Valued Functions. Journal of Function Spaces No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1068335
American Medical Association (AMA)
Kadak, Uğur& Efe, Hakan. On Uniform Convergence of Sequences and Series of Fuzzy-Valued Functions. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1068335
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068335