@INPROCEEDINGS { Rsds3535,
author = {Cattaneo, Gianpiero}, 
title = {Mathematical Foundations of Roughness and Fuzziness}, 
booktitle = {Proceedings of the Fourth International Workshop on Rough Sets, Fuzzy Sets, and Machine Discovery}, 
conference = {International Workshop on Rough Sets, Fuzzy Sets, and Machine Discovery}, 
pages = {241--247}, 
publisher = {Japanese Research Group on Rough Sets}, 
address = {Tokyo, Japan}, 
month = {November}, 
year = 1996, 
editor = {Tsumoto, Shusaku and Kobayashi, Satoshi and Yokomori, Takashi and Tanaka, Hiroshi and Nakamura, Akira}, 
isbn = {4-947717-01-7}, 
abstract = {The formal structure of approximation space as a partially ordered set (poset) of approximable elements, equipped with a subposet of open definable elements and a subposet of closed definable elements (in general different between them) in introduced. An inner approximation map and an outer approximation map furnish the best approximation from the bottom and from the top of any element with respect to the involved ordering. The stronger case involving Kleene poset structures puts in duality the inner approximation space (triple approximable elements-open definable elements-inner approximation map) and the outer approximation space (triple approximable elements-closed definable elements-outer approximation map). It is shown as a structure of this kind can be induced from any quasi Brouwer-Zadeh (BZ) poset and that usual approaches to generalized rough set theory (as discernibility space) and to fuzzy set theory can be described in this context.}, 
keywords = {rough sets, fuzzy sets, rough approximation spaces, Brouwer-Zadeh structures, }, 
}