


Paper Title:
ℵ0 Algebra and its Novel Application in Edge Detection
Author(s):
G. E. Chatzarakis^{1}, S. Dickson^{2}, S. Padmasekaran^{2}, S. L. Panetsos^{1}, and J. Ravi^{3}
^{1}Electrical
and Electronic Engineering Educators,
School of Pedagogical and Technological Education (ASPETE),
Marousi 15122, Athens,
Greece.
Email: geaxatz@otenet.gr,
spanetsos@aspete.gr
^{2}Mathematics,
Periyar University,
Periyar Palkalai Nagar, Salem, 636011, Tamilnadu,
India.
Email: dix.bern@gmail.com,
padmasekarans@periyaruniversity.ac.in
^{3}Department
of Mathematics, Amity University,
Bengaluru, Karnataka,
India.
Email:
jravistat@gmail.com
Abstract:
In this paper a new type of ℵ_{0}algebra has been defined. With its help, the fuzzy cross subalgebra and the fuzzy ηrelation on the ℵ_{0}algebra are introduced and their respective properties are derived. Moreover, the fuzzy cross ℵ_{0}ideal of the ℵ_{0}algebra is defined with some theorems and intuitionistic fuzzy ℵ_{0}ideals of the ℵ_{0}algebra are introduced. This fuzzy algebra concept is applied in image processing to detect edges. This ℵ_{0}algebra is a novelty in the field of research.
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