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BSL
2007
51views more  BSL 2007»
14 years 11 months ago
Relating First-order Set Theories and Elementary Toposes
We show how to interpret the language of first-order set theory in an elementary topos endowed with, as extra structure, a directed structural system of inclusions (dssi). As our ...
Steven Awodey, Carsten Butz, Alex Simpson, Thomas ...
JSYML
2006
71views more  JSYML 2006»
14 years 11 months ago
The generalised type-theoretic interpretation of constructive set theory
Abstract. We present a generalisation of the type-theoretic interpretation of constructive set theory into Martin-L
Peter Aczel, Nicola Gambino
RSKT
2009
Springer
15 years 6 months ago
Three-Way Decision: An Interpretation of Rules in Rough Set Theory
Abstract. A new interpretation of rules in rough set theory is introduced. According to the positive, boundary, and negative regions of a set, one can make a three-way decision: ac...
Yiyu Yao
RSCTC
2004
Springer
200views Fuzzy Logic» more  RSCTC 2004»
15 years 5 months ago
A Comparative Study of Formal Concept Analysis and Rough Set Theory in Data Analysis
The theory of rough sets and formal concept analysis are compared in a common framework based on formal contexts. Different concept lattices can be constructed. Formal concept ana...
Yiyu Yao
AML
2005
69views more  AML 2005»
14 years 11 months ago
On the relationship between fixed points and iteration in admissible set theory without foundation
In this article we show how to use the result in J
Dieter Probst