메뉴 건너뛰기




Volumn , Issue , 2005, Pages 113-142

A survey on left-continuous t-norms and pseudo t-norms

Author keywords

[No Author keywords available]

Indexed keywords


EID: 74349114975     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-044451814-9/50005-7     Document Type: Chapter
Times cited : (12)

References (48)
  • 1
    • 0012660670 scopus 로고
    • On the determination of strict t-norms on some diagonal segments
    • Bézivin J.P., Tomás M.S. On the determination of strict t-norms on some diagonal segments. Aequationes Math. 1993, 45:239-245.
    • (1993) Aequationes Math. , vol.45 , pp. 239-245
    • Bézivin, J.P.1    Tomás, M.S.2
  • 2
    • 0004190631 scopus 로고
    • American Mathematical Society, Providence, R.I.
    • Birkhoff G. Lattice Theory 1967, American Mathematical Society, Providence, R.I.
    • (1967) Lattice Theory
    • Birkhoff, G.1
  • 3
    • 20644437529 scopus 로고    scopus 로고
    • A family of strict and discontinuous triangular norms
    • Budinčevič M., Kurilič M. A family of strict and discontinuous triangular norms. Fuzzy Sets and Systems 1998, 95:381-384.
    • (1998) Fuzzy Sets and Systems , vol.95 , pp. 381-384
    • Budinčevič, M.1    Kurilič, M.2
  • 4
    • 0141750863 scopus 로고
    • Sobre la sección diagonal y la región cero de una t-norma
    • Burgués C. Sobre la sección diagonal y la región cero de una t-norma. Stochastica 1981, 5:79-87.
    • (1981) Stochastica , vol.5 , pp. 79-87
    • Burgués, C.1
  • 5
    • 0012719654 scopus 로고    scopus 로고
    • Aggregation operators: Properties, classes and construction methods
    • Physica-Verlag, Heidelberg, T. Calvo, G. Mayor, R. Mesian (Eds.)
    • Calvo T., Kolesárová A., Komorníková M., Mesiar R. Aggregation operators: Properties, classes and construction methods. Aggregation Operators. New Trends and Applications 2002, 3-104. Physica-Verlag, Heidelberg. T. Calvo, G. Mayor, R. Mesian (Eds.).
    • (2002) Aggregation Operators. New Trends and Applications , pp. 3-104
    • Calvo, T.1    Kolesárová, A.2    Komorníková, M.3    Mesiar, R.4
  • 7
    • 0141638868 scopus 로고
    • Associative functions and Abel-Schröder systems
    • Darsow W., Frank M.J. Associative functions and Abel-Schröder systems. Publ. Math. Debrecen 1983, 30:253-272.
    • (1983) Publ. Math. Debrecen , vol.30 , pp. 253-272
    • Darsow, W.1    Frank, M.J.2
  • 8
    • 0032635245 scopus 로고    scopus 로고
    • Idempotent uninorms
    • De Baets B. Idempotent uninorms. Eur. J. Oper. Res. 1999, 118:631-642.
    • (1999) Eur. J. Oper. Res. , vol.118 , pp. 631-642
    • De Baets, B.1
  • 9
  • 10
    • 0020163947 scopus 로고
    • Basic concepts for a theory of evaluation: The aggregative operator
    • Dombi J. Basic concepts for a theory of evaluation: The aggregative operator. Eur. J. Oper. Res. 1982, 10:282-293.
    • (1982) Eur. J. Oper. Res. , vol.10 , pp. 282-293
    • Dombi, J.1
  • 12
    • 0002118960 scopus 로고
    • Contrapositive symmetry of fuzzy implications
    • Fodor J.C. Contrapositive symmetry of fuzzy implications. Fuzzy Sets and Systems 1995, 69:141-156.
    • (1995) Fuzzy Sets and Systems , vol.69 , pp. 141-156
    • Fodor, J.C.1
  • 13
    • 84882541836 scopus 로고    scopus 로고
    • Characterization of uninorms with given underlying t-norms and t-conorms. In preparation.
    • J. C. Fodor, B. De Bacts, and T. Calvo. Characterization of uninorms with given underlying t-norms and t-conorms. In preparation.
    • Fodor, J.C.1    De Bacts, B.2    Calvo, T.3
  • 15
    • 0001070713 scopus 로고
    • On the simultaneous associativity of F(x,y) and x+y-F(x,y)
    • Frank M.J. On the simultaneous associativity of F(x,y) and x+y-F(x,y). Aequationes Math. 1979, 19:194-226.
    • (1979) Aequationes Math. , vol.19 , pp. 194-226
    • Frank, M.J.1
  • 16
    • 0141750867 scopus 로고    scopus 로고
    • Diagonals of copulas and Schröder's equation
    • Frank M.J. Diagonals of copulas and Schröder's equation. Aequationes Math. 1996, 51:150-157.
    • (1996) Aequationes Math. , vol.51 , pp. 150-157
    • Frank, M.J.1
  • 19
    • 0035900860 scopus 로고    scopus 로고
    • A new axiomatization for involutive monoidal t-norm-based logic
    • Gottwald S., Jenei S. A new axiomatization for involutive monoidal t-norm-based logic. Fuzzy Sets and Systems 2001, 124:303-308.
    • (2001) Fuzzy Sets and Systems , vol.124 , pp. 303-308
    • Gottwald, S.1    Jenei, S.2
  • 20
    • 0035900860 scopus 로고    scopus 로고
    • A new axiomatization for involutive monoidal t-norm-based logic
    • Gottwald S., Jenei S. A new axiomatization for involutive monoidal t-norm-based logic. Fuzzy Sets and Systems 2001, 124:303-308.
    • (2001) Fuzzy Sets and Systems , vol.124 , pp. 303-308
    • Gottwald, S.1    Jenei, S.2
  • 22
    • 0037121226 scopus 로고    scopus 로고
    • Observations on the monoidal t-norm logic
    • Hájek P. Observations on the monoidal t-norm logic. Fuzzy Sets and Systems 2002, 132:107-112.
    • (2002) Fuzzy Sets and Systems , vol.132 , pp. 107-112
    • Hájek, P.1
  • 24
    • 0008176644 scopus 로고    scopus 로고
    • Fibred triangular norms
    • Jenei S. Fibred triangular norms. Fuzzy Sets and Systems 1999, 103:67-82.
    • (1999) Fuzzy Sets and Systems , vol.103 , pp. 67-82
    • Jenei, S.1
  • 25
    • 0000482672 scopus 로고    scopus 로고
    • New family of triangular norms via contrapositive symmetrization of residuated implications
    • Jenei S. New family of triangular norms via contrapositive symmetrization of residuated implications. Fuzzy Sets and Systems 1999, 110:157-174.
    • (1999) Fuzzy Sets and Systems , vol.110 , pp. 157-174
    • Jenei, S.1
  • 26
    • 0002044682 scopus 로고    scopus 로고
    • Structure of left-continuous t-norms with strong associated negations. (I) Rotation construction
    • Jenei S. Structure of left-continuous t-norms with strong associated negations. (I) Rotation construction. J. Appl. Non-Classical Logics 2000, 10:83-92.
    • (2000) J. Appl. Non-Classical Logics , vol.10 , pp. 83-92
    • Jenei, S.1
  • 27
    • 1342274882 scopus 로고    scopus 로고
    • Structure of left-continuous t-norms with strong associated negations. (II) Rotation-annihilation construction
    • Jenei S. Structure of left-continuous t-norms with strong associated negations. (II) Rotation-annihilation construction. J. Appl. Non-Classical Logics 2001, 11:351-366.
    • (2001) J. Appl. Non-Classical Logics , vol.11 , pp. 351-366
    • Jenei, S.1
  • 28
    • 0036498105 scopus 로고    scopus 로고
    • A note on the ordinal sum theorem and its consequence for the construction of triangular norms
    • Jenei S. A note on the ordinal sum theorem and its consequence for the construction of triangular norms. Fuzzy Sets and Systems 2002, 126:199-205.
    • (2002) Fuzzy Sets and Systems , vol.126 , pp. 199-205
    • Jenei, S.1
  • 29
    • 0038813919 scopus 로고    scopus 로고
    • A characterization theorem on the rotation construction for triangular norms
    • Jenei S. A characterization theorem on the rotation construction for triangular norms. Fuzzy Sets and Systems 2003, 136:283-289.
    • (2003) Fuzzy Sets and Systems , vol.136 , pp. 283-289
    • Jenei, S.1
  • 30
    • 0038336663 scopus 로고    scopus 로고
    • On the structure of rotation-invariant semigroups
    • Jenei S. On the structure of rotation-invariant semigroups. Arch. Math. Logic 2003, 42:489-514.
    • (2003) Arch. Math. Logic , vol.42 , pp. 489-514
    • Jenei, S.1
  • 32
    • 84882545860 scopus 로고    scopus 로고
    • On the determination of left-continuous t-norms on some segments. Aequationes Math., in press.
    • S. Jenei. On the determination of left-continuous t-norms on some segments. Aequationes Math., in press.
    • Jenei, S.1
  • 33
    • 84882550660 scopus 로고    scopus 로고
    • Rotation and rotation-annihilation construction of associative and partially compensatory aggregation operators. IEEE Trans. Fuzzy Systems, to appear.
    • S. Jenei and B. De Baets. Rotation and rotation-annihilation construction of associative and partially compensatory aggregation operators. IEEE Trans. Fuzzy Systems, to appear.
    • Jenei, S.1    De Baets, B.2
  • 34
    • 0038137203 scopus 로고    scopus 로고
    • A general method for constructing left-continuous t-norms
    • Jenei S., Montagna F. A general method for constructing left-continuous t-norms. Fuzzy Sets and Systems 2003, 136:263-282.
    • (2003) Fuzzy Sets and Systems , vol.136 , pp. 263-282
    • Jenei, S.1    Montagna, F.2
  • 35
    • 0142258809 scopus 로고    scopus 로고
    • A proof of standard completeness for non-commutative monoidal t-norm logic
    • Jenei S., Montagna F. A proof of standard completeness for non-commutative monoidal t-norm logic. Neural Network World 2003, 5:481-489.
    • (2003) Neural Network World , vol.5 , pp. 481-489
    • Jenei, S.1    Montagna, F.2
  • 36
    • 84882484943 scopus 로고    scopus 로고
    • Residuated Lattices: an Algebraic Glimpse at Logics without Contraction. In preparation.
    • P. Jipsen, T. Kowalski, and H. Ono. Residuated Lattices: an Algebraic Glimpse at Logics without Contraction. In preparation.
    • Jipsen, P.1    Kowalski, T.2    Ono, H.3
  • 37
    • 0010572504 scopus 로고
    • On a class of associative functions
    • Kimberling C. On a class of associative functions. Publ. Math. Debrecen 1973, 20:21-39.
    • (1973) Publ. Math. Debrecen , vol.20 , pp. 21-39
    • Kimberling, C.1
  • 39
    • 0001991656 scopus 로고    scopus 로고
    • Quasi- and pseudo-inverses of monotone functions and the construction of t-norms
    • Klement E.P., Mesiar R., Pap E. Quasi- and pseudo-inverses of monotone functions and the construction of t-norms. Fuzzy Sets and Systems 1999, 104:3-13.
    • (1999) Fuzzy Sets and Systems , vol.104 , pp. 3-13
    • Klement, E.P.1    Mesiar, R.2    Pap, E.3
  • 41
    • 0042421931 scopus 로고    scopus 로고
    • Triangular norms as ordinal sums of semigroups in the sense of A.H. Clifford
    • Klement E.P., Mesiar R., Pap E. Triangular norms as ordinal sums of semigroups in the sense of A.H. Clifford. Semigroup Forum 2002, 65:71-82.
    • (2002) Semigroup Forum , vol.65 , pp. 71-82
    • Klement, E.P.1    Mesiar, R.2    Pap, E.3
  • 42
    • 0000418525 scopus 로고
    • Representation of associative functions
    • Ling C-H. Representation of associative functions. Publ. Math. Debrecen 1965, 12:189-212.
    • (1965) Publ. Math. Debrecen , vol.12 , pp. 189-212
    • Ling, C.-H.1
  • 43
    • 0000316125 scopus 로고
    • On the structure of semigroups on a compact manifold with boundary
    • Mostert P.S., Shields A.L. On the structure of semigroups on a compact manifold with boundary. Ann. Math. 1957, 65:117-143.
    • (1957) Ann. Math. , vol.65 , pp. 117-143
    • Mostert, P.S.1    Shields, A.L.2
  • 45
    • 0003862363 scopus 로고    scopus 로고
    • On a peculiar t-norm
    • Smutná D. On a peculiar t-norm. BUSEFAL 1998, 75:60-67.
    • (1998) BUSEFAL , vol.75 , pp. 60-67
    • Smutná, D.1
  • 46
    • 0002284825 scopus 로고
    • Sobre funciones de negación en la teoría de conjuntas difusos
    • Trillas E. Sobre funciones de negación en la teoría de conjuntas difusos. Stochastica 1979, 3:47-60.
    • (1979) Stochastica , vol.3 , pp. 47-60
    • Trillas, E.1
  • 47
    • 0030737073 scopus 로고    scopus 로고
    • On a class of weak triangular norm operators
    • Yager R.R. On a class of weak triangular norm operators. Inform. Sci. 1997, 96:47-78.
    • (1997) Inform. Sci. , vol.96 , pp. 47-78
    • Yager, R.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.