Relations in Fuzzy Class Theory: : Initial steps

This paper studies fuzzy relations in the graded framework of Fuzzy Class Theory (FCT). This includes (i) rephrasing existing work on graded properties of binary fuzzy relations in the framework of Fuzzy Class Theory and (ii) generalizing existing crisp results on fuzzy relations to the graded framework. Our particular aim is to demonstrate that Fuzzy Class Theory is a powerful and easy-to-use instrument for handling fuzzified properties of fuzzy relations. This paper does not rephrase the whole theory of (fuzzy) relations; instead,

• Type: Journal
• Year: 2008
• Where: FSS
• Authors: Libor Behounek, Ulrich Bodenhofer, Petr Cintula
• Keywords: Binary Fuzzy Relations, FSS 2008, Fuzzy Class Theory, Fuzzy Relations