Intuitionistic Fuzzy Subcoalgebras of Coalgebras

Wenjuan Chen1, Muhammad Akram2, Yanyong Guan3
1School of Mathematical Sciences, University of Jinan, Jinan, 250022, Shandong, P.R. China
2Punjab University College of Information Technology, University of the Punjab, Old Campus, Lahore-54000, Pakistan
3 School of Mathematical Sciences, University of Jinan, Jinan, 250022, Shandong, P.R. China

Abstract

In this paper, we apply the concepts of intuitionistic fuzzy sets to coalgebras. We give the definition of intuitionistic fuzzy subcoalgebras and investigate some properties of intuitionistic fuzzy subcoalgebras. Considering the applications of intuitionistic fuzzy subcoalgebras, we discuss their properties under homomorphisms of coalgebras.