標題: Computing Approximations of Dominance-Based Rough Sets by Bit-Vector Encodings
作者: Chan, Chien-Chung
Tzeng, Gwo-Hshiung
科技管理研究所
Institute of Management of Technology
關鍵字: Rough sets;Dominance-based rough sets;Multiple criteria decision analysis (MCDA);Approximate reasoning
公開日期: 2008
摘要: This paper introduces a mechanism for computing approximations of Dominance-Based Rough Sets (DBRS) by bit-vector encodings. DBRS was introduced by Greco et al. as an extension of Pawlak\'s classical rough sets theory by using dominance relations in place of equivalence relations for approximating sets of preference ordered decision classes. Our formulation of dominance-based approximation spaces is based on the concept of indexed blocks introduced by Chan and Tzeng. Indexed blocks are sets of objects indexed by pairs of decision values where approximations of sets of decision classes are defined in terms of exclusive neighborhoods of indexed blocks. In this work, we introduced an algorithm for updating indexed blocks incrementally, and we show that the computing of dominance-based approximations can be accomplished more intuitively and efficiently by encoding indexed blocks as bit-vectors. In addition, bit-vector encodings can simplify the definitions of lower and upper approximations greatly. Examples are given to illustrate presented concepts.
URI: http://hdl.handle.net/11536/134436
ISBN: 978-3-540-88423-1
ISSN: 0302-9743
期刊: ROUGH SETS AND CURRENT TRENDS IN COMPUTING, PROCEEDINGS
Volume: 5306
起始頁: 131
結束頁: +
Appears in Collections:Conferences Paper