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» The Unbalance of Set Systems
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HIS
2003
15 years 7 months ago
On a Set Theory With Uncertain Membership Relations
We logically model uncertainty by expanding language without changing logical reasoning rules. We expand the language of set theory by adding new predicate symbols, uncertain membe...
Shunsuke Yatabe, Yuzuru Kakuda, Makoto Kikuchi
BSL
2007
51views more  BSL 2007»
15 years 6 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 ...
ISCI
2007
138views more  ISCI 2007»
15 years 6 months ago
Uncertainty measures for interval type-2 fuzzy sets
Fuzziness (entropy) is a commonly used measure of uncertainty for type-1 fuzzy sets. For interval type-2 fuzzy sets (IT2 FSs), centroid, cardinality, fuzziness, variance and skewn...
Dongrui Wu, Jerry M. Mendel
TFS
2008
117views more  TFS 2008»
15 years 6 months ago
A New Fuzzy Set Merging Technique Using Inclusion-Based Fuzzy Clustering
Abstract--This paper proposes a new method of merging parameterized fuzzy sets based on clustering in the parameters space, taking into account the degree of inclusion of each fuzz...
Samia Nefti, Mourad Oussalah, Uzay Kaymak
ACL
2010
15 years 4 months ago
Distributional Similarity vs. PU Learning for Entity Set Expansion
Distributional similarity is a classic technique for entity set expansion, where the system is given a set of seed entities of a particular class, and is asked to expand the set u...
Xiaoli Li, Lei Zhang, Bing Liu, See-Kiong Ng