Title :
The belief and plausibility functions of incomplete fuzzy covering systems
Author :
Feng, Tao ; Zhang, Shaopu ; Yang, Hongqiang
Author_Institution :
Coll. of Math. & Inf. Sci., Hebei Normal Univ., Shijiazhuang, China
Abstract :
This paper studies the definition and properties of the belief and plausibility functions of incomplete fuzzy covering systems based on the evidence theory. A novel pair of belief and plausibility functions is defined by employing the most basic granule and the approximation operators in incomplete fuzzy covering systems. Then we study the properties of the belief and plausibility functions and discuss the properties of consistent sets.
Keywords :
approximation theory; belief maintenance; fuzzy set theory; approximation operator; belief function property; consistent sets; evidence theory; incomplete fuzzy covering system; plausibility function property; Approximation methods; Educational institutions; Fuzzy sets; Information systems; Mathematical model; Rough sets; Belief Function; Incomplete Fuzzy Covering System; Plausibility Function;
Conference_Titel :
Granular Computing (GrC), 2011 IEEE International Conference on
Conference_Location :
Kaohsiung
Print_ISBN :
978-1-4577-0372-0
DOI :
10.1109/GRC.2011.6122591
