DocumentCode
1661046
Title
Representation of interactions among attributes, and its axiomatization
Author
Fujimoto, Katsushige
Author_Institution
Fac. of Econ., Fukushima Univ., Japan
Volume
2
fYear
2002
fDate
6/24/1905 12:00:00 AM
Firstpage
1363
Lastpage
1368
Abstract
This paper provides axiomatic characterizations of the Shapley, Banzhaf, and chaining interaction indices which represent the interactions among elements of any set of attributes. These are based on four axioms: additivity, k-monotonicity, null-zero, symmetry, and characterized by using two axioms among three axioms - efficiency, partnership-reduction-consistency, and partnership-allocation-equivalence
Keywords
fuzzy set theory; fuzzy systems; knowledge representation; Banzhaf index; Shapley index; additivity; axiomatic characterizations; axiomatization; chaining index; fuzzy measure; fuzzy set theory; interaction index; internal interaction indices; monotonicity; null-zero; symmetry; Decision making; Fuzzy sets; Game theory; Utility theory;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems, 2002. FUZZ-IEEE'02. Proceedings of the 2002 IEEE International Conference on
Conference_Location
Honolulu, HI
Print_ISBN
0-7803-7280-8
Type
conf
DOI
10.1109/FUZZ.2002.1006703
Filename
1006703
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