The Bipolar Complemented de Morgan Brouwer-Zadeh Distributive Lattice as an Algebraic Structure for the Dominance-based Rough Set Approach

被引：0
|
作者：
Greco, Salvatore [1 ]
Matarazzo, Benedetto [1 ]
Slowinski, Roman [2 ,3 ]
机构：
[1] Univ Catania, Dept Econ & Business, I-95129 Catania, Italy
[2] Poznan Univ Tech, Inst Comp Sci, PL-60965 Poznan, Poland
[3] Polish Acad Sci, Syst Res Inst, PL-01447 Warsaw, Poland
来源：
FUNDAMENTA INFORMATICAE | 2012年 / 115卷 / 01期
关键词：
Bipolar Brouwer-Zadeh Lattice; Dominance-based Rough Set Approach; Bipolar Approximation Space; APPROXIMATION;
D O I：
10.3233/FI-2012-639
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We introduce the bipolar complemented de Morgan Brouwer-Zadeh distributive lattice in order to give an algebraic model the to Dominance-based Rough Set Approach. We present also the concept of bipolar approximation space and we show how it can be induced from a bipolar quasi Brouwer-Zadeh lattice.
引用
收藏
页码：25 / 56
页数：32
相关论文
共 50 条
  • [1] Distinguishing Vagueness from Ambiguity in Dominance-Based Rough Set Approach by Means of a Bipolar Pawlak-Brouwer-Zadeh Lattice
    Greco, Salvatore
    Matarazzo, Benedetto
    Slowinski, Roman
    ROUGH SETS, IJCRS 2017, PT II, 2017, 10314 : 81 - 93
  • [2] Algebraic structures for Dominance-based Rough Set Approach
    Greco, Salvatore
    Matarazzo, Benedetto
    Slowinski, Roman
    ROUGH SETS AND KNOWLEDGE TECHNOLOGY, 2008, 5009 : 252 - 259
  • [3] Dominance-Based Rough Set Approach and Bipolar Abstract Rough Approximation Spaces
    Greco, Salvatore
    Matarazzo, Benedetto
    Slowinski, Roman
    ROUGH SETS AND CURRENT TRENDS IN COMPUTING, PROCEEDINGS, 2008, 5306 : 31 - +
  • [4] Generalizing rough set theory through dominance-based rough set approach
    Greco, S
    Matarazzo, B
    Slowinski, R
    ROUGH SETS, FUZZY SETS, DATA MINING, AND GRANULAR COMPUTING, PT 2, PROCEEDINGS, 2005, 3642 : 1 - 11
  • [5] Several reducts in dominance-based rough set approach
    Inuiguchi, Masahiro
    Yoshioka, Yukihiro
    INTERVAL / PROBABILISTIC UNCERTAINTY AND NON-CLASSICAL LOGICS, 2008, 46 : 163 - 175
  • [6] Fuzzy extensions of the dominance-based rough set approach
    Palangetic, Marko
    Cornelis, Chris
    Greco, Salvatore
    Slowinski, Roman
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2021, 129 : 1 - 19
  • [7] Dominance-based rough set approach for group decisions
    Chakhar, Salem
    Ishizaka, Alessio
    Labib, Ashraf
    Saad, Ines
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2016, 251 (01) : 206 - 224
  • [8] Redefining preliminaries of dominance-based rough set approach
    Nosheen, Faryal
    Qamar, Usman
    Raza, Muhammad Summair
    SOFT COMPUTING, 2022, 26 (03) : 977 - 1002
  • [9] Redefining preliminaries of dominance-based rough set approach
    Faryal Nosheen
    Usman Qamar
    Muhammad Summair Raza
    Soft Computing, 2022, 26 : 977 - 1002
  • [10] A unified approach to reducts in dominance-based rough set approach
    Kusunoki, Yoshifumi
    Inuiguchi, Masahiro
    SOFT COMPUTING, 2010, 14 (05) : 507 - 515
12345