메뉴 건너뛰기




Volumn 161, Issue 2, 2009, Pages 220-227

On the reflection invariance of residuated chains

Author keywords

Continuity points; Order topology; Residuated chain; Symmetry

Indexed keywords


EID: 70349322476     PISSN: 01680072     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apal.2009.05.009     Document Type: Article
Times cited : (12)

References (29)
  • 1
    • 70349361351 scopus 로고    scopus 로고
    • N.H. Abel, Untersuchungen der Functionen zweier unabhänging veränderlichen Grössen x und y wie f (x, y), welche die Eigenschaft haben, dass f (z, f (x, y)) eine symmetrische Function von x, y und z ist, J. Reine Angew. Math. 1, 11-15. Oeuvres Complétes de N.H. Abel, 1, Christiana, 1881, pp. 61-65
    • N.H. Abel, Untersuchungen der Functionen zweier unabhänging veränderlichen Grössen x und y wie f (x, y), welche die Eigenschaft haben, dass f (z, f (x, y)) eine symmetrische Function von x, y und z ist, J. Reine Angew. Math. 1, 11-15. Oeuvres Complétes de N.H. Abel, vol. 1, Christiana, 1881, pp. 61-65
  • 3
    • 0012660670 scopus 로고
    • On the determination of strict t-norms on some diagonal segments
    • Bézivin J.P., and Tomás M.S. On the determination of strict t-norms on some diagonal segments. Aequationes Mathematicae 45 (1993) 239-245
    • (1993) Aequationes Mathematicae , vol.45 , pp. 239-245
    • Bézivin, J.P.1    Tomás, M.S.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 5 (1981) 79-87
    • (1981) Stochastica , vol.5 , pp. 79-87
    • Burgués, C.1
  • 5
    • 0000817320 scopus 로고    scopus 로고
    • Basic Fuzzy Logic is the logic of continuous t-norms and of their residua
    • Cignoli R., Esteva F., Godo L., and Torrens A. Basic Fuzzy Logic is the logic of continuous t-norms and of their residua. Soft Computing 4 (2000) 106-112
    • (2000) Soft Computing , vol.4 , pp. 106-112
    • Cignoli, R.1    Esteva, F.2    Godo, L.3    Torrens, A.4
  • 8
  • 9
    • 0042404641 scopus 로고    scopus 로고
    • On the standard and rational completeness of some axiomatic extensions of the monoidal t-norm logic
    • Esteva F., Gispert J., Godo L., and Montagna F. On the standard and rational completeness of some axiomatic extensions of the monoidal t-norm logic. Studia Logica 71 (2002) 199-226
    • (2002) Studia Logica , vol.71 , pp. 199-226
    • Esteva, F.1    Gispert, J.2    Godo, L.3    Montagna, F.4
  • 10
    • 0035900852 scopus 로고    scopus 로고
    • Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
    • Esteva F., and Godo L. Monoidal t-norm based logic: Towards a logic for left-continuous t-norms. Fuzzy Sets and Systems 124 (2001) 271-288
    • (2001) Fuzzy Sets and Systems , vol.124 , pp. 271-288
    • Esteva, F.1    Godo, L.2
  • 13
    • 0002753240 scopus 로고
    • Commutative, residuated l-monoids
    • Höhle U., and Klement E.P. (Eds), Kluwer Academic Publishers, Dordrecht
    • Höhle U. Commutative, residuated l-monoids. In: Höhle U., and Klement E.P. (Eds). Non-Classical Logics and Their Applications to Fuzzy Subsets (1995), Kluwer Academic Publishers, Dordrecht 53-106
    • (1995) Non-Classical Logics and Their Applications to Fuzzy Subsets , pp. 53-106
    • Höhle, U.1
  • 15
    • 1342264166 scopus 로고    scopus 로고
    • How to construct left-continuous triangular norms - state of the art
    • Jenei S. How to construct left-continuous triangular norms - state of the art. Fuzzy Sets and Systems 143 (2004) 27-45
    • (2004) Fuzzy Sets and Systems , vol.143 , pp. 27-45
    • Jenei, S.1
  • 16
    • 33748313106 scopus 로고    scopus 로고
    • On the convex combination of left-continuous t-norms
    • Jenei S. On the convex combination of left-continuous t-norms. Aequationes Mathematicae 72 (2006) 47-59
    • (2006) Aequationes Mathematicae , vol.72 , pp. 47-59
    • Jenei, S.1
  • 17
    • 24944474403 scopus 로고    scopus 로고
    • On the determination of left-continuous t-norms and continuous Archimedean t-norms on some segments
    • Jenei S. On the determination of left-continuous t-norms and continuous Archimedean t-norms on some segments. Aequationes Mathematicae 70 (2005) 177-188
    • (2005) Aequationes Mathematicae , vol.70 , pp. 177-188
    • Jenei, S.1
  • 18
    • 34547602951 scopus 로고    scopus 로고
    • On the geometry of associativity
    • Jenei S. On the geometry of associativity. Semigroup Forum 74 3 (2007) 439-466
    • (2007) Semigroup Forum , vol.74 , Issue.3 , pp. 439-466
    • Jenei, S.1
  • 19
    • 0038336663 scopus 로고    scopus 로고
    • On the structure of rotation-invariant semigroups
    • Jenei S. On the structure of rotation-invariant semigroups. Archive for Mathematical Logic 42 (2003) 489-514
    • (2003) Archive for Mathematical Logic , vol.42 , pp. 489-514
    • Jenei, S.1
  • 20
    • 39749111349 scopus 로고    scopus 로고
    • A proof of standard completeness of Esteva and Godo's logic M T L
    • Jenei S., and Montagna F. A proof of standard completeness of Esteva and Godo's logic M T L. Studia Logica 70 (2002) 184-192
    • (2002) Studia Logica , vol.70 , pp. 184-192
    • Jenei, S.1    Montagna, F.2
  • 21
    • 0345414129 scopus 로고    scopus 로고
    • On the continuity points of left-continuous t-norms
    • Jenei S., and Montagna F. On the continuity points of left-continuous t-norms. Archive for Mathematical Logic 42 (2003) 797-810
    • (2003) Archive for Mathematical Logic , vol.42 , pp. 797-810
    • Jenei, S.1    Montagna, F.2
  • 24
    • 33847307145 scopus 로고    scopus 로고
    • On the structure of left-continuous t-norms that have a continuous contour line
    • Maes K.C., and De Baets B. On the structure of left-continuous t-norms that have a continuous contour line. Fuzzy Sets and Systems 158 (2007) 843-860
    • (2007) Fuzzy Sets and Systems , vol.158 , pp. 843-860
    • Maes, K.C.1    De Baets, B.2
  • 25
    • 34249670322 scopus 로고    scopus 로고
    • The triple rotation method for constructing t-norms
    • Maes K.C., and De Baets B. The triple rotation method for constructing t-norms. Fuzzy Sets and Systems 158 (2007) 1652-1674
    • (2007) Fuzzy Sets and Systems , vol.158 , pp. 1652-1674
    • Maes, K.C.1    De Baets, B.2
  • 26
    • 0042905373 scopus 로고    scopus 로고
    • Kripke semantics, undecidability and standard completeness for Esteva and Godo's Logic M T L ∀
    • Montagna F., and Ono H. Kripke semantics, undecidability and standard completeness for Esteva and Godo's Logic M T L ∀. Studia Logica 71/2 (2002) 227-245
    • (2002) Studia Logica , vol.71-2 , pp. 227-245
    • Montagna, F.1    Ono, H.2
  • 27
    • 26044437946 scopus 로고    scopus 로고
    • Perfect and bipartite IMTL-algebras and disconnected rotations of prelinear semihoops
    • Noguera C., Esteva F., and Gispert J. Perfect and bipartite IMTL-algebras and disconnected rotations of prelinear semihoops. Archive for Mathematical Logic 44 7 (2005) 869-886
    • (2005) Archive for Mathematical Logic , vol.44 , Issue.7 , pp. 869-886
    • Noguera, C.1    Esteva, F.2    Gispert, J.3
  • 29
    • 56749107248 scopus 로고    scopus 로고
    • Regular left-continuous t-norms
    • Vetterlein T. Regular left-continuous t-norms. Semigroup Forum 77 (2008) 339-379
    • (2008) Semigroup Forum , vol.77 , pp. 339-379
    • Vetterlein, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.