Study of fuzzy algebras and relations from a general viewpoint

Study of fuzzy algebras and relations from a general viewpoint

L. Filep

We give definitions for fuzzy subalgebras, for fuzzy relations on fuzzy sets, and for fuzzy compatibility, which generalize, improve and correct the existing ones. The unit interval is replaced here by a partially ordered algebra. Then we study their connection with the corresponding crisp concepts through their newly defined Q-cuts.

Mathematics Subject Classification: 04A72, 03E72, 20N25