Paper Title:

ℵ0 Algebra and its Novel Application in Edge Detection

Author(s):

G. E. Chatzarakis¹, S. Dickson², S. Padmasekaran², S. L. Panetsos¹, and J. Ravi³

¹Electrical and Electronic Engineering Educators,
School of Pedagogical and Technological Education (ASPETE),
Marousi 15122, Athens,
Greece.
E-mail: geaxatz@otenet.gr, spanetsos@aspete.gr

²Mathematics, Periyar University,
Periyar Palkalai Nagar, Salem, 636011, Tamilnadu,
India.
E-mail: dix.bern@gmail.com, padmasekarans@periyaruniversity.ac.in

³Department of Mathematics, Amity University,
Bengaluru, Karnataka,
India.
E-mail: jravistat@gmail.com
 

Abstract:

In this paper a new type of ℵ₀-algebra has been defined. With its help, the fuzzy cross subalgebra and the fuzzy η-relation on the ℵ₀-algebra are introduced and their respective properties are derived. Moreover, the fuzzy cross ℵ₀-ideal of the ℵ₀-algebra is defined with some theorems and intuitionistic fuzzy ℵ₀-ideals of the ℵ₀-algebra are introduced. This fuzzy algebra concept is applied in image processing to detect edges. This ℵ₀-algebra is a novelty in the field of research.

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