Canonical representation of the Yager's classes of fuzzy implications

被引：12
|
作者：
Reiser, R. H. S. [1 ]
Bedregal, B. [2 ]
Santiago, R. H. N. [2 ]
Amaral, M. D. [3 ]
机构：
[1] UFPEL CDTEC PPGC, BR-96001970 Pelotas, RS, Brazil
[2] UFRN DIMAP PPGC, BR-59072970 Natal, RN, Brazil
[3] UCPEL CP PPGINF, BR-96010000 Pelotas, RS, Brazil
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2013年 / 32卷 / 03期
关键词：
Interval-valued fuzzy logic; Interval-valued fuzzy implications; Yager's classes of implications; f-Generated implications; g-Generated implications; T-NORMS; NEGATIONS;
D O I：
10.1007/s40314-013-0029-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this work is to study an interval extension of the Yager's classes of implications based on the canonical constructor. Focused on the Yager implication, such construction preserves similar and extra properties of fuzzy implications, also aggregating the correctness and optimality criteria.
引用
收藏
页码：401 / 412
页数：12
相关论文
共 50 条
  • [21] Using Yager's t-norms for aggregation of fuzzy intervals
    Hauke, W
    FUZZY SETS AND SYSTEMS, 1999, 101 (01) : 59 - 65
  • [22] Using Yager's t-norms for aggregation of fuzzy intervals
    Fuzzy Sets Syst, 1 (59-65):
  • [23] The canonical representation of multiplication operation on triangular fuzzy numbers
    Chou, CC
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 45 (10-11) : 1601 - 1610
  • [24] Flexible bootstrap based on the canonical representation of fuzzy numbers
    Grzegorzewski, Przemyslaw
    Hryniewicz, Olgierd
    Romaniuk, Maciej
    PROCEEDINGS OF THE 11TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT 2019), 2019, 1 : 490 - 497
  • [25] Flexible Bootstrap for Fuzzy Data Based on the Canonical Representation
    Grzegorzewski, Przemyslaw
    Hryniewicz, Olgierd
    Romaniuk, Maciej
    INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2020, 13 (01) : 1650 - 1662
  • [26] Flexible Bootstrap for Fuzzy Data Based on the Canonical Representation
    Przemyslaw Grzegorzewski
    Olgierd Hryniewicz
    Maciej Romaniuk
    International Journal of Computational Intelligence Systems, 2020, 13 : 1650 - 1662
  • [27] Robustness of f- and g-generated Fuzzy (Co) Implications: The Yager's (Co) Implication Case Study
    Reiser, Renata
    Zanotelli, Rosana
    Costa, Simone
    Foss, Luciana
    Bedregal, Benjamin
    ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE, 2016, 324 : 151 - 164
  • [28] Xor-Implications and E-Implications: Classes of Fuzzy Implications Based on Fuzzy Xor
    Bedregal, Benjamin C.
    Reiser, Renata H. S.
    Dimuro, Gracaliz P.
    ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE, 2009, 247 : 5 - 18
  • [29] A canonical representation for the solution of fuzzy linear system and fuzzy linear programming problem
    Nehi H.M.
    Maleki H.R.
    Mashinchi M.
    Journal of Applied Mathematics and Computing, 2006, 20 (1-2) : 345 - 354
  • [30] Yager's new class of implications Jf and some classical tautologies
    Balasubramaniam, J.
    INFORMATION SCIENCES, 2007, 177 (03) : 930 - 946
12345