Title :
Representation of interactions among attributes, and its axiomatization
Author :
Fujimoto, Katsushige
Author_Institution :
Fac. of Econ., Fukushima Univ., Japan
fDate :
6/24/1905 12:00:00 AM
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;
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
DOI :
10.1109/FUZZ.2002.1006703
