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Volumn 19, Issue 1, 2008, Pages 135-150

On extensions of triangular norms on bounded lattices

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EID: 67649588919     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(08)80019-5     Document Type: Article
Times cited : (77)

References (37)
  • 1
    • 0038066866 scopus 로고    scopus 로고
    • Varieties of BL-algebras I: general properties
    • Agliano P., and Montagna F. Varieties of BL-algebras I: general properties. J. Pure Appl. Algebra 181 (2003) 129-131
    • (2003) J. Pure Appl. Algebra , vol.181 , pp. 129-131
    • Agliano, P.1    Montagna, F.2
  • 2
    • 0001336727 scopus 로고
    • On ordered semigroups
    • (in Russian)
    • Alimov N.G. On ordered semigroups. Izv. Akad. Nauk SSSR 14 (1950) 569-576 (in Russian)
    • (1950) Izv. Akad. Nauk SSSR , vol.14 , pp. 569-576
    • Alimov, N.G.1
  • 4
    • 0001842932 scopus 로고
    • A useful four-valued logic
    • Dunn J.M., and Epstein G. (Eds), Reidel, Dordrecht
    • Belnap N.D. A useful four-valued logic. In: Dunn J.M., and Epstein G. (Eds). Modern Uses of Multiple-Valued Logic (1977), Reidel, Dordrecht 8-37
    • (1977) Modern Uses of Multiple-Valued Logic , pp. 8-37
    • Belnap, N.D.1
  • 5
    • 0004190631 scopus 로고
    • American Mathematical Society, Providence, RI
    • Birkhoff G. Lattice Theory (1973), American Mathematical Society, Providence, RI
    • (1973) Lattice Theory
    • Birkhoff, G.1
  • 6
    • 15244343999 scopus 로고    scopus 로고
    • Decomposition of BL-chains
    • Busaniche M. Decomposition of BL-chains. Algebra Universalis 524 (2004) 519-525
    • (2004) Algebra Universalis , vol.524 , pp. 519-525
    • Busaniche, M.1
  • 7
    • 0001050067 scopus 로고
    • Naturally totally ordered commutative semigroups
    • Clifford A.H. Naturally totally ordered commutative semigroups. Amer. J. Math. 76 (1954) 631646
    • (1954) Amer. J. Math. , vol.76 , pp. 631646
    • Clifford, A.H.1
  • 8
    • 84972535699 scopus 로고
    • On the theory of inconsistent formal systems
    • da Costa N.C.A. On the theory of inconsistent formal systems. Notre Dame J. Formal Logic 15 (1974) 497-510
    • (1974) Notre Dame J. Formal Logic , vol.15 , pp. 497-510
    • da Costa, N.C.A.1
  • 10
    • 0007970973 scopus 로고
    • Order norms on bounded partially ordered sets
    • De Cooman G., and Kerre E.E. Order norms on bounded partially ordered sets. J. Fuzzy Math. 2 (1994) 281-310
    • (1994) J. Fuzzy Math. , vol.2 , pp. 281-310
    • De Cooman, G.1    Kerre, E.E.2
  • 11
    • 43049173305 scopus 로고    scopus 로고
    • The lattice-theoretic structure of the sets of triangular norms and semi-copulas
    • Durante F., Mesiar R., and Papini P.L. The lattice-theoretic structure of the sets of triangular norms and semi-copulas. Nonlinear Anal. 69 (2007) 46-52
    • (2007) Nonlinear Anal. , vol.69 , pp. 46-52
    • Durante, F.1    Mesiar, R.2    Papini, P.L.3
  • 12
    • 0007912444 scopus 로고
    • Intuitive semantics for first-degree entailments and 'coupled trees'
    • Dunn J.M. Intuitive semantics for first-degree entailments and 'coupled trees'. Philos. Studies 29 (1976) 149-168
    • (1976) Philos. Studies , vol.29 , pp. 149-168
    • Dunn, J.M.1
  • 13
    • 84968492822 scopus 로고
    • Compact semigroups irreducibly connected between two idempotents
    • Faucett W.M. Compact semigroups irreducibly connected between two idempotents. Proc. Amer. Math. Soc. 6 (1955) 741-747
    • (1955) Proc. Amer. Math. Soc. , vol.6 , pp. 741-747
    • Faucett, W.M.1
  • 14
    • 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. 19 (1979) 194-226
    • (1979) Aequationes Math. , vol.19 , pp. 194-226
    • Frank, M.J.1
  • 16
    • 2442686613 scopus 로고    scopus 로고
    • On lattice-ordered commutative semigroups
    • Fuchs L., and Reis R. On lattice-ordered commutative semigroups. Algebra Universalis 50 (2003) 341-357
    • (2003) Algebra Universalis , vol.50 , pp. 341-357
    • Fuchs, L.1    Reis, R.2
  • 17
    • 0013337219 scopus 로고    scopus 로고
    • A Treatise on Many-Valued Logic
    • Research Studies Press, Baldock
    • Gottwald S. A Treatise on Many-Valued Logic. Studies in Logic and Computation (2001), Research Studies Press, Baldock
    • (2001) Studies in Logic and Computation
    • Gottwald, S.1
  • 21
    • 22144447829 scopus 로고    scopus 로고
    • Triangular Norms, Trends in Logic
    • Kluwer Academic Publishers, Dordrecht
    • Klement E.P., Mesiar R., and Pap E. Triangular Norms, Trends in Logic. Studia Logica Library vol. 8 (2000), Kluwer Academic Publishers, Dordrecht
    • (2000) Studia Logica Library , vol.8
    • Klement, E.P.1    Mesiar, R.2    Pap, E.3
  • 22
    • 0042421931 scopus 로고    scopus 로고
    • Triangular norms as ordinal sums of semigroups in the sense of A.H. Clifford
    • Klement E.P., Mesiar R., and Pap E. Triangular norms as ordinal sums of semigroups in the sense of A.H. Clifford. Semigroup Forum 65 (2002) 71-82
    • (2002) Semigroup Forum , vol.65 , pp. 71-82
    • Klement, E.P.1    Mesiar, R.2    Pap, E.3
  • 24
    • 0000418525 scopus 로고
    • Representation of associative functions
    • Ling C.M. Representation of associative functions. Publ. Math. Debrecen 12 (1965) 189-212
    • (1965) Publ. Math. Debrecen , vol.12 , pp. 189-212
    • Ling, C.M.1
  • 26
    • 0027646954 scopus 로고
    • On a class of operators for expert systems
    • Mayor G., and Torrens J. On a class of operators for expert systems. Int. J. Intell. Syst. 8 (1993) 771-778
    • (1993) Int. J. Intell. Syst. , vol.8 , pp. 771-778
    • Mayor, G.1    Torrens, J.2
  • 29
    • 0000316125 scopus 로고
    • On the structure of semi-groups on a compact manifold with boundary
    • Mostert P.S., and Shields A.L. On the structure of semi-groups on a compact manifold with boundary. Ann. of Math., II. Ser. 65 (1957) 117-143
    • (1957) Ann. of Math., II. Ser. , vol.65 , pp. 117-143
    • Mostert, P.S.1    Shields, A.L.2
  • 30
  • 31
    • 0001037786 scopus 로고
    • Introduction to a general theory of elementary propositions
    • Post E.L. Introduction to a general theory of elementary propositions. Amer. J. Math. 43 (1921) 163-185
    • (1921) Amer. J. Math. , vol.43 , pp. 163-185
    • Post, E.L.1
  • 32
  • 33
    • 33645800600 scopus 로고    scopus 로고
    • On ordinal sums of triangular norms on bounded lattices
    • Saminger S. On ordinal sums of triangular norms on bounded lattices. Fuzzy Sets and Systems 157 (2006) 1403-1416
    • (2006) Fuzzy Sets and Systems , vol.157 , pp. 1403-1416
    • Saminger, S.1
  • 34
    • 0001872217 scopus 로고
    • Associative functions and abstract semigroups
    • Schweizer B., and Sklar A. Associative functions and abstract semigroups. Publ. Math. Debrecen 10 (1963) 69-81
    • (1963) Publ. Math. Debrecen , vol.10 , pp. 69-81
    • Schweizer, B.1    Sklar, A.2
  • 36
    • 0036021992 scopus 로고    scopus 로고
    • Strong completeness of lattice-valued logic
    • Takano M. Strong completeness of lattice-valued logic. Arch. Math. Logic 41 (2002) 497-505
    • (2002) Arch. Math. Logic , vol.41 , pp. 497-505
    • Takano, M.1
  • 37
    • 0033461090 scopus 로고    scopus 로고
    • A lattice-valued set theory
    • Titani S. A lattice-valued set theory. Arch. Math. Logic 38 (1999) 395-421
    • (1999) Arch. Math. Logic , vol.38 , pp. 395-421
    • Titani, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.