Title :
Fuzzy Concept Hierarchies and Evidence Resolution
Author :
Petry, Frederick E. ; Yager, Ronald R.
Author_Institution :
Naval Res. Lab., Stennis Space Center, MS, USA
Abstract :
Evidence resolution has been studied previously for crisp hierarchies and here we develop approaches for fuzzy concept hierarchies. Since fuzzy hierarchies are characterized by decompositions of their domains as opposed to partitions, properties and measures of decompositions are developed. Fuzzy complete and partial evidence resolution is defined and related to the valuation of evidence. Finally a for-and-against analysis is developed for the selection of which concept to choose in the generalization.
Keywords :
fuzzy set theory; crisp hierarchy; fuzzy concept hierarchy; partial evidence resolution; Color; Forensics; Fuzzy sets; Hair; Terrorism; Uncertainty; Weapons; Congruence of decompositions; decomposition; evidence resolution; fuzzy hierarchy; granularity measure; overlap measure; partitioning;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2013.2286412