A survey on different triangular norm-based fuzzy logics

被引:86
|
作者
Klement, EP [1 ]
Navara, M
机构
[1] Johannes Kepler Univ Linz, Dept Algebra Stochast & Knowledge Based Math Syst, Fuzzy Log Lab, A-4040 Linz, Austria
[2] Czech Tech Univ, Fac Elect Engn, Ctr Machine Percept, CZ-16627 Prague, Czech Republic
基金
奥地利科学基金会;
关键词
fuzzy logic; many-valued logic; Frank t-norm;
D O I
10.1016/S0165-0114(98)00167-5
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Among various approaches to fuzzy logics, we have chosen two of them, which are built up in a similar way. Although starting from different basic logical connectives, they both use interpretations based on Frank t-norms. Different interpretations of the implication lead to different axiomatizations, but most logics studied here are complete. We compare the properties, advantages and disadvantages of the two approaches. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:241 / 251
页数:11
相关论文
共 50 条
  • [1] ON TRIANGULAR NORM-BASED PROPOSITIONAL FUZZY LOGICS
    BUTNARIU, D
    KLEMENT, EP
    ZAFRANY, S
    [J]. FUZZY SETS AND SYSTEMS, 1995, 69 (03) : 241 - 255
  • [2] Triangular norm-based mathematical fuzzy logics
    Gottwald, S
    Hájek, P
    [J]. LOGICAL, ALGEBRAIC, ANALYTIC, AND PROBABILISTIC ASPECTS OF TRIANGULAR NORMS, 2005, : 275 - 299
  • [3] A triangular norm-based fuzzy predicate logic
    Wang, SM
    Wang, BS
    Wang, GJ
    [J]. FUZZY SETS AND SYSTEMS, 2003, 138 (01) : 177 - 186
  • [4] The triangular norm-based addition of fuzzy intervals
    Hwang, SY
    Hwang, JJ
    An, JH
    [J]. APPLIED MATHEMATICS LETTERS, 1998, 11 (04) : 9 - 13
  • [5] Triangular norm based predicate fuzzy logics
    Cintula, Petr
    Hajek, Petr
    [J]. FUZZY SETS AND SYSTEMS, 2010, 161 (03) : 311 - 346
  • [6] On Triangular Norm Based Fuzzy Description Logics
    Garcia-Cerdana, Angel
    Armengol, Eva
    Esteva, Francesc
    [J]. PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE, 2009, : 891 - 896
  • [8] On triangular norm-based generalized cardinals and singular fuzzy sets
    Dyczkowski, K
    Wygralak, M
    [J]. FUZZY SETS AND SYSTEMS, 2003, 133 (02) : 211 - 226
  • [9] Inequalities in Triangular Norm-Based *-fuzzy (L+)p Spaces
    Ghaffari, Abbas
    Saadati, Reza
    Mesiar, Radko
    [J]. MATHEMATICS, 2020, 8 (11) : 1 - 22
  • [10] Triangular norm-based cuts and possibility characteristics of triangular intuitionistic fuzzy numbers for decision making
    Yi, Zhi-Hong
    Li, Hong-Quan
    [J]. INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2018, 33 (06) : 1165 - 1179