Results on equality algebras

• Published in: Information sciences Vol. 381; pp. 270 - 282
• Main Authors: Zebardast, F., Borzooei, R.A., Aaly Kologani, M.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.03.2017
• Subjects: Algebra; BL-algebra; Boolean-algebra; EQ-algebra; Equality algebra; Equivalence; Fuzzy logic; Hertz-algebra; Heyting-algebra; Hoop-algebra; Lattices; MTL-algebra; MV-algebra; Residuated lattice; Semantics; BL-algebra; Hoop-algebra; Hertz-algebra; Equality algebra; Residuated lattice; Boolean-algebra; Heyting-algebra; MTL-algebra; 03G25; EQ-algebra; MV-algebra

In this paper, by considering the notion of equality algebra, which is introduced by Jenei in [18], as a possible algebraic semantic for fuzzy type theory, we study and show that there are relations among equality algebras and some of other logical algebras such as residuated lattice, MTL-algebra, B...