On the existence of supremum and infimum of fuzzy random variables

Author:
J. EARNEST LAZARUS PIRIYAKUMAR1 and M. VASUKY2
Affiliation:

1Department of Mathematics, Tranquebar Bishop Manickam Lutheran College, Porayar – 609 307, S. India
2Department of Mathematics, Seethalakshmi Achi College for Women, Pallathur – 630 107, S. India
Email1: jelpriyakumar@yahoo.com

Keyword:
Fuzzy random variables, Fuzzy numbers, Fuzzy valued functions.
Issue Date:
April 2012
Abstract:

This paper investigates upon the characteristics on the existence of supremum and infimum of fuzzy random variables. This paper provides an improved version of the supremum and infimum of fuzzy random variables which plays a crucial role in the theoretical framework of the same. Finally the existence of supremum and infimum of the level continuous fuzzy valued measurable functions on a closed interval is examined and a necessary and sufficient condition with which
its supremum and infimum can be attained, is provided

Pages:
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
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Copy the following to cite this article:

J. EARNEST LAZARUS PIRIYAKUMAR1 and M. VASUKY2, "On the existence of supremum and infimum of fuzzy random variables", Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 1, Page Number , 2016

Copy the following to cite this URL:

J. EARNEST LAZARUS PIRIYAKUMAR1 and M. VASUKY2, "On the existence of supremum and infimum of fuzzy random variables", Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 1, Page Number , 2016

Available from: https://www.ultrascientist.org/paper/450/

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