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Volumn 14, Issue 3, 2010, Pages 273-284

Expanding the propositional logic of a t-norm with truth-constants: Completeness results for rational semantics

Author keywords

Evaluated formulae; Left continuous t norms; Mathematical fuzzy logic; Realand rational completeness; T norm based logics; Truth constants

Indexed keywords

EVALUATED FORMULAE; LEFT-CONTINUOUS T-NORMS; MATHEMATICAL FUZZY LOGIC; REALAND RATIONAL COMPLETENESS; T-NORM BASED LOGICS; TRUTH-CONSTANTS;

EID: 70350303226     PISSN: 14327643     EISSN: 14337479     Source Type: Journal    
DOI: 10.1007/s00500-009-0402-8     Document Type: Article
Times cited : (26)

References (27)
  • 1
    • 31944447645 scopus 로고    scopus 로고
    • Fuzzy logics as the logics of chains
    • Běhounek L, Cintula P (2006) Fuzzy logics as the logics of chains. Fuzzy Sets Syst 157:604-610
    • (2006) Fuzzy Sets Syst , vol.157 , pp. 604-610
    • Běhounek, L.1    Cintula, P.2
  • 3
    • 70350336892 scopus 로고    scopus 로고
    • Notas para el curso Álgebras de la lógica borrosa
    • Department of Mathematics, F.C.E. y N., University of Buenos Aires (in English)
    • Cignoli R (2000) Notas para el curso Álgebras de la lógica borrosa. Department of Mathematics, F.C.E. y N., University of Buenos Aires (in English)
    • (2000)
    • Cignoli, R.1
  • 4
    • 0000817320 scopus 로고    scopus 로고
    • Basic fuzzy logic is the logic of continuous t-norms and their residua
    • Cignoli R, Esteva F, Godo L, Torrens A (2000) Basic fuzzy logic is the logic of continuous t-norms and their residua. Soft Comput 4:106-112
    • (2000) Soft Comput , vol.4 , pp. 106-112
    • Cignoli, R.1    Esteva, F.2    Godo, L.3    Torrens, A.4
  • 6
    • 67349142165 scopus 로고    scopus 로고
    • Distinguished algebraic semantics for t-norm based fuzzy logics: Methods and algebraic equivalencies
    • (to appear)
    • Cintula P, Esteva F, Gispert J, Godo L, Montagna F, Noguera C (2009) Distinguished algebraic semantics for t-norm based fuzzy logics: Methods and algebraic equivalencies. Ann Pure Appl Logic (to appear)
    • (2009) Ann Pure Appl Logic
    • Cintula, P.1    Esteva, F.2    Gispert, J.3    Godo, L.4    Montagna, F.5    Noguera, C.6
  • 7
    • 0002945668 scopus 로고
    • Sobre negaciones fuertes y débiles en [0,1]
    • Esteva F, Domingo X (1980) Sobre negaciones fuertes y débiles en [0,1]. Stochastica 4:141-166
    • (1980) Stochastica , vol.4 , pp. 141-166
    • Esteva, F.1    Domingo, X.2
  • 8
    • 0035900852 scopus 로고    scopus 로고
    • Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
    • Esteva F, Godo L (2001) Monoidal t-norm based logic: Towards a logic for left-continuous t-norms. Fuzzy Sets Syst 124:271-288
    • (2001) Fuzzy Sets Syst , vol.124 , pp. 271-288
    • Esteva, F.1    Godo, L.2
  • 9
    • 0042404641 scopus 로고    scopus 로고
    • On the standard and rational completeness of some axiomatic extensions of monoidal t-norm based logic
    • Esteva F, Gispert J, Godo L, Montagna F (2002) On the standard and rational completeness of some axiomatic extensions of monoidal t-norm based logic. Stud Log 71:199-226
    • (2002) Stud Log , vol.71 , pp. 199-226
    • Esteva, F.1    Gispert, J.2    Godo, L.3    Montagna, F.4
  • 10
    • 18144418337 scopus 로고    scopus 로고
    • Equational characterization of the subvarieties of BL generated by t-norm algebras
    • Esteva F, Godo L, Montagna F (2004) Equational characterization of the subvarieties of BL generated by t-norm algebras. Stud Log 76:161-200
    • (2004) Stud Log , vol.76 , pp. 161-200
    • Esteva, F.1    Godo, L.2    Montagna, F.3
  • 12
    • 70350343838 scopus 로고    scopus 로고
    • Real, rational and finite chain semantics for fuzzy logics, Actas del XIII congreso español sobre tecnologí as y lógica fuzzy ESTYLF 2006
    • Esteva F, Godo L, Noguera C (2006b) Real, rational and finite chain semantics for fuzzy logics, Actas del XIII congreso español sobre tecnologí as y lógica fuzzy ESTYLF 2006. Ciudad Real, pp 83-88
    • (2006) Ciudad Real , pp. 83-88
    • Esteva, F.1    Godo, L.2    Noguera, C.3
  • 13
    • 33846609068 scopus 로고    scopus 로고
    • Adding truth-constants to logics of a continuous t-norm: Axiomatization and completeness results
    • Esteva F, Gispert J, Godo L, Noguera C (2007a) Adding truth-constants to logics of a continuous t-norm: Axiomatization and completeness results. Fuzzy Sets Syst 158:597-618
    • (2007) Fuzzy Sets Syst , vol.158 , pp. 597-618
    • Esteva, F.1    Gispert, J.2    Godo, L.3    Noguera, C.4
  • 14
    • 70349357851 scopus 로고    scopus 로고
    • On completeness results for predicate Łukasiewicz, Product, Gödel, and Nilpotent minimum logics expanded with truth-constants
    • Esteva F, Godo L, Noguera C (2007b) On completeness results for predicate Łukasiewicz, Product, Gödel, and Nilpotent minimum logics expanded with truth-constants. Mathw Soft Comput 14:233-246
    • (2007) Mathw Soft Comput , vol.14 , pp. 233-246
    • Esteva, F.1    Godo, L.2    Noguera, C.3
  • 15
    • 67349110036 scopus 로고    scopus 로고
    • On expansions of t-norm based logics with truth-constants
    • In: Gottwald S, Hájek P, Höhle U, Klement EP (eds) (to appear)
    • Esteva F, Godo L, Noguera C (2009) On expansions of t-norm based logics with truth-constants. In: Gottwald S, Hájek P, Höhle U, Klement EP (eds) Fuzzy logics and related structures (to appear)
    • (2009) Fuzzy Logics and Related Structures
    • Esteva, F.1    Godo, L.2    Noguera, C.3
  • 16
    • 0011323059 scopus 로고
    • Universal equivalence of ordered abelian groups
    • (in Russian)
    • Gurevich YS, Kokorin AI (1963) Universal equivalence of ordered abelian groups. Algebra Log 2:37-39 (in Russian)
    • (1963) Algebra Log , vol.2 , pp. 37-39
    • Gurevich, Y.S.1    Kokorin, A.I.2
  • 18
    • 31944437926 scopus 로고    scopus 로고
    • Computational complexity of t-norm based propositional fuzzy logics with rational truth-constants
    • Hájek P (2006) Computational complexity of t-norm based propositional fuzzy logics with rational truth-constants. Fuzzy Sets Syst 157:677-682
    • (2006) Fuzzy Sets Syst , vol.157 , pp. 677-682
    • Hájek, P.1
  • 19
    • 39749111349 scopus 로고    scopus 로고
    • A proof of standard completeness for Esteva and Godo's logic MTL
    • Jenei S, Montagna F (2002) A proof of standard completeness for Esteva and Godo's logic MTL. Stud Log 70:183-192
    • (2002) Stud Log , vol.70 , pp. 183-192
    • Jenei, S.1    Montagna, F.2
  • 20
    • 0000418525 scopus 로고
    • Representation of associative functions
    • Ling CH (1965) Representation of associative functions. Publ Math Debrecen 12:189-212
    • (1965) Publ Math Debrecen , vol.12 , pp. 189-212
    • Ling, C.H.1
  • 21
    • 0000316125 scopus 로고
    • On the structure of semigroups on a compact manifold with boundary
    • Mostert PS, Shields AL (1957) On the structure of semigroups on a compact manifold with boundary. Ann Math 65:117-143
    • (1957) Ann Math , vol.65 , pp. 117-143
    • Mostert, P.S.1    Shields, A.L.2
  • 22
    • 0002923147 scopus 로고
    • On the syntactico-semantical completeness of first-order fuzzy logic. Part I. Syntax and semantics
    • Novák V (1990a) On the syntactico-semantical completeness of first-order fuzzy logic. Part I. Syntax and semantics. Kybernetika 26:47-66
    • (1990) Kybernetika , vol.26 , pp. 47-66
    • Novák, V.1
  • 23
    • 0002923147 scopus 로고
    • On the syntactico-semantical completeness of first-order fuzzy logic. Part II. Main results
    • Novák V (1990b) On the syntactico-semantical completeness of first-order fuzzy logic. Part II. Main results. Kybernetika 26:134-154
    • (1990) Kybernetika , vol.26 , pp. 134-154
    • Novák, V.1
  • 24
    • 55449101926 scopus 로고    scopus 로고
    • On triangular norm based axiomatic extensions of the weak Nilpotent minimum logic
    • Noguera C, Esteva F, Gispert J (2008) On triangular norm based axiomatic extensions of the weak Nilpotent minimum logic. Math Log Q 54:387-409
    • (2008) Math Log Q , vol.54 , pp. 387-409
    • Noguera, C.1    Esteva, F.2    Gispert, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.