@INPROCEEDINGS { Rsds2670,
author = {Ciucci, Davide and Cattaneo, Gianpiero},
title = {Heyting Wajsberg Algebras as an Abstract Environment Linking Fuzzy and Rough Sets},
booktitle = {Rough Sets and Current Trends in Computing},
conference = {International Conference on Rough Sets and Current Trends in Computing},
series = = {Lecture Notes in Arificial Intelligence},
volume = 2475,
pages = {77--84},
publisher = {Springer-Verlag},
address = {Heidelberg - Berlin, Germany},
month = {October},
year = 2002,
editor = {Alpigini, James J. and Peters, James F. and Skowron, Andrzej and Zhong, Ning Liu Jiming},
issn = {0302-9743},
isbn = {3-540-44274-X},
abstract = {Heyting Wajsberg (HW) algebras are introduced as algebraic models of a logic equipped with two implication connectives, the Heyting one linked to the intuitionistic logic and the Wajsberg one linked to the L ukasiewicz approach to many-valued logic. On the basis of an HW algebra it is possible to obtain a de Morgan Brouwer-Zadeh (BZ) distributive lattice with respect to the partial order induced from the L ukasiewicz implication. Modal-like operators are also defined generating a rough approximation space. It is shown that standard Pawlak approach to rough sets is a model of this structure.},
keywords = {heyting algebra, Wajsberg algebra, fuzzy sets, rough approximation space, rough sets, },
}