Heyting Wajsberg Algebras as an Abstract Environment Linking Fuzzy and Rough Sets
TSCTC '02 Proceedings of the Third International Conference on Rough Sets and Current Trends in Computing
Mathematical modal logic: a view of its evolution
Journal of Applied Logic
Brouwer-Zadeh posets and three-valued Ł ukasiewicz posets
Fuzzy Sets and Systems
Algebraic structures for rough sets
Transactions on Rough Sets II
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A bottom-up investigation of algebraic structures corresponding to many valued logical systems is made. Particular attention is given to the unit interval as a prototypical model of these kind of structures. At the top level of our construction, Heyting Wajsberg algebras are defined and studied. The peculiarity of this algebra is the presence of two implications as primitive operators. This characteristic is helpful in the study of abstract rough approximations.