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Yang, Xibei; Song, Xiaoning; She, Yanhong; Yang, Jingyu
Hierarchy on multigranulation structures: a knowledge distance approach. (English) Zbl 1284.68542
Int. J. Gen. Syst. 42, No. 7, 754-773 (2013).
Summary: In this paper, a knowledge distance approach is proposed to study the hierarchy under the frame of multigranulation. In our approach, the finest granulation structure is considered as the frame of reference, and then a knowledge distances algebraic lattice is constructed. Through such algebraic lattice, a partial order is derived, which can be used to characterize the finer or coarser relationships among multigranulation structures. It is also shown that the uncertainty measurements are monotonic in terms of the obtained partial order.

Cited in 4 Documents
MSC:
68T30 Knowledge representation
68T37 Reasoning under uncertainty in the context of artificial intelligence
06B35 Continuous lattices and posets, applications
06A07 Combinatorics of partially ordered sets
94A17 Measures of information, entropy
Keywords:
granular computing; hierarchy; knowledge distance; lattice; multigranulation structure; uncertainty
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\textit{X. Yang} et al., Int. J. Gen. Syst. 42, No. 7, 754--773 (2013; Zbl 1284.68542)
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