Open AccessRough Operations and Uncertainty Measures on MV-Algebras
Author(s) -
Maosen Xie
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/597650
Subject(s) - measure (data warehouse) , partition (number theory) , mathematics , rough set , probability measure , discrete mathematics , computer science , combinatorics , artificial intelligence , data mining
We define a lower approximate operation and an upper approximate operation based on a partition on MV-algebras and discuss their properties. We then introduce a belief measure and a plausibility measure on MV-algebras and investigate the relationship between rough operations and uncertainty measures
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