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BSL
2007
51views more  BSL 2007»
13 years 7 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»
13 years 7 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
14 years 2 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»
14 years 25 days 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»
13 years 7 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