Toward a Dempster-Shafer theory of concepts

被引:15
|
作者
Frittella, Sabine [1 ]
Manoorkar, Krishna [2 ]
Palmigiano, Alessandra [3 ,4 ]
Tzimoulis, Apostolos [3 ]
Wijnberg, Nachoem [5 ,6 ]
机构
[1] Univ Orleans, INSA Ctr Val Loire, LIFO EA 4022, Bourges, France
[2] Technion Israel Inst Technol, Haifa, Israel
[3] VU Sch Business & Econ, Amsterdam, Netherlands
[4] Univ Johannesburg, Dept Math & Appl Math, Johannesburg, South Africa
[5] Univ Amsterdam, Amsterdam Business Sch, Amsterdam, Netherlands
[6] Univ Johannesburg, Coll Business & Econ, Johannesburg, South Africa
关键词
Formal concept analysis; Dempster-Shafer theory; Epistemic logic; BELIEF FUNCTIONS; ROUGH;
D O I
10.1016/j.ijar.2020.05.004
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we generalize the basic notions and results of Dempster-Shafer theory from predicates to formal concepts. Results include the representation of conceptual belief functions as inner measures of suitable probability functions, and a Dempster-Shafer rule of combination on belief functions on formal concepts. (C) 2020 The Author(s). Published by Elsevier Inc.
引用
收藏
页码:14 / 25
页数:12
相关论文
共 50 条
  • [1] AN EXERCISE IN DEMPSTER-SHAFER THEORY
    HAJEK, P
    HARMANEC, D
    [J]. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1992, 20 (02) : 137 - 142
  • [2] A clash in Dempster-Shafer theory
    Xiong, W
    Ju, S
    Luo, X
    [J]. 10TH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3: MEETING THE GRAND CHALLENGE: MACHINES THAT SERVE PEOPLE, 2001, : 793 - 796
  • [3] Categorification of the Dempster-Shafer Theory
    Peri, Joseph S. J.
    [J]. SIGNAL PROCESSING, SENSOR/INFORMATION FUSION, AND TARGET RECOGNITION XXIV, 2015, 9474
  • [4] Fundamentals of the Dempster-Shafer Theory
    Peri, Joseph S. J.
    [J]. SIGNAL PROCESSING, SENSOR FUSION, AND TARGET RECOGNITION XXI, 2012, 8392
  • [5] Nonstandard analysis and Dempster-Shafer theory
    Roesmer, C
    [J]. INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2000, 15 (02) : 117 - 127
  • [6] 40 years of Dempster-Shafer theory
    Denoeux, Thierry
    [J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2016, 79 : 1 - 6
  • [7] FAST ALGORITHMS FOR DEMPSTER-SHAFER THEORY
    KENNES, R
    SMETS, P
    [J]. LECTURE NOTES IN COMPUTER SCIENCE, 1991, 521 : 14 - 23
  • [8] Analyzing a Paradox in Dempster-Shafer Theory
    Xiong, Wei
    [J]. FIFTH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, VOL 5, PROCEEDINGS, 2008, : 154 - 158
  • [9] Combination rules in Dempster-Shafer theory
    Sentz, K
    Ferson, S
    [J]. 6TH WORLD MULTICONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL XVI, PROCEEDINGS: COMPUTER SCIENCE III, 2002, : 191 - 196
  • [10] Modelling dependence in dempster-shafer theory
    Monney, Paul-Andre
    Chan, Moses
    [J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2007, 15 (01) : 93 - 114