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Volumn 13, Issue 4, 2005, Pages 443-466

On some varieties of MTL-algebras

Author keywords

Algebraic logic; Bipartite algebras; Filters; Fuzzy logics; Glivenko style theorems; IMTL algebras; Local algebras; MTL algebras; Perfect algebras; Radical; Standard algebras; Standard completeness

Indexed keywords

BANDPASS FILTERS; BOOLEAN ALGEBRA; COMPUTER CIRCUITS; FUZZY FILTERS; LINEARIZATION;

EID: 31944432632     PISSN: 13670751     EISSN: 13689894     Source Type: Journal    
DOI: 10.1093/jigpal/jzi034     Document Type: Conference Paper
Times cited : (45)

References (30)
  • 1
    • 0010147010 scopus 로고
    • A classification of bipartite MV-algebras
    • R. Ambrosio and A. Lettieri. A classification of bipartite MV-algebras, Math. Japonica 38, No. 1 (1993), 111-117.
    • (1993) Math. Japonica , vol.38 , Issue.1 , pp. 111-117
    • Ambrosio, R.1    Lettieri, A.2
  • 4
    • 0009091198 scopus 로고
    • Local Deduction Theorem in Algebraic Logic
    • (Proc. Conf. Budapest 1988) (H. Andreka, J. D. Monk and I. Nemeti Eds.) Algebraic Logic
    • W. J. Blok and D. Pigozzi. Local Deduction Theorem in Algebraic Logic, Algebraic Logic (Proc. Conf. Budapest 1988) (H. Andreka, J. D. Monk and I. Nemeti Eds.) Colloq. Math. Soc. J. Bolyai 54 (1991) 75-105.
    • (1991) Colloq. Math. Soc. J. Bolyai , vol.54 , pp. 75-105
    • Blok, W.J.1    Pigozzi, D.2
  • 6
    • 84968495744 scopus 로고
    • Algebraic analysis of many valued logics
    • C.C. Chang. Algebraic analysis of many valued logics, Trans. Amer. Math. Soc. 88 (1958) 456-490.
    • (1958) Trans. Amer. Math. Soc. , vol.88 , pp. 456-490
    • Chang, C.C.1
  • 7
    • 0000817320 scopus 로고    scopus 로고
    • Basic Fuzzy Logic is the logic of continuous t-norms and their residua
    • R. Cignoli, F. Esteva, L. Godo and A. Torrens. Basic Fuzzy Logic is the logic of continuous t-norms and 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
    • 0036435271 scopus 로고    scopus 로고
    • Free algebras in varieties of BL-algebras with a Boolean retract
    • R. Cignoli and A. Torrens. Free algebras in varieties of BL-algebras with a Boolean retract, Algebra universalis 48 (2002) 55-79.
    • (2002) Algebra Universalis , vol.48 , pp. 55-79
    • Cignoli, R.1    Torrens, A.2
  • 9
    • 26044440724 scopus 로고    scopus 로고
    • Glivenko like theorems in natural expansions of BCK-logic
    • R. Cignoli and A. Torrens. Glivenko like theorems in natural expansions of BCK-logic. Mathematical Logic Quarterly 50(2) (2004) 111-125.
    • (2004) Mathematical Logic Quarterly , vol.50 , Issue.2 , pp. 111-125
    • Cignoli, R.1    Torrens, A.2
  • 11
    • 0003121135 scopus 로고
    • Using maximal ideals in the classification of MV-algebras
    • A. Di Nola, F. Liguori and S. Sessa. Using maximal ideals in the classification of MV-algebras, Portugaliae Mathematica 50 (1993) 87-102.
    • (1993) Portugaliae Mathematica , vol.50 , pp. 87-102
    • Di Nola, A.1    Liguori, F.2    Sessa, S.3
  • 13
    • 0042404641 scopus 로고    scopus 로고
    • On the standard and Rational Completeness of some Axiomatic extensions of Monoidal t-norm Based Logic
    • F. Esteva, J. Gispert, L. Godo and F. Montagna. On the standard and Rational Completeness of some Axiomatic extensions of Monoidal t-norm Based 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
  • 14
    • 0035900852 scopus 로고    scopus 로고
    • Monoidal t-norm based Logic: Towards a logic for left-continuous t-norms
    • F. Esteva and L. Godo. 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
  • 16
    • 0029230836 scopus 로고
    • Nilpotent minimum and related connectives for fuzzy logic
    • J. Fodor. Nilpotent minimum and related connectives for fuzzy logic, Proc. FUZZ-IEEE'95, 1995, pp. 2077-2082.
    • (1995) Proc. FUZZ-IEEE'95 , pp. 2077-2082
    • Fodor, J.1
  • 18
    • 19044375223 scopus 로고    scopus 로고
    • On the scope of some formulas defining additive connectives in fuzzy logics
    • Available online
    • A. García-Cerdaña, C. Noguera and F. Esteva. On the scope of some formulas defining additive connectives in fuzzy logics, Fuzzy Sets and Systems. Available online.
    • Fuzzy Sets and Systems
    • García-Cerdaña, A.1    Noguera, C.2    Esteva, F.3
  • 19
    • 26044448742 scopus 로고    scopus 로고
    • Axiomatic extensions of the nilpotent minimum logic
    • J. Gispert. Axiomatic extensions of the nilpotent minimum logic, Reports on Mathematical Logic 37 (2003) 113-123.
    • (2003) Reports on Mathematical Logic , vol.37 , pp. 113-123
    • Gispert, J.1
  • 20
    • 28244501931 scopus 로고    scopus 로고
    • Axiomatic extensions of IMTL3 logic
    • To appear at
    • J. Gispert, A. Torrens. Axiomatic extensions of IMTL3 logic. To appear at Studia Logica.
    • Studia Logica
    • Gispert, J.1    Torrens, A.2
  • 21
    • 0003237949 scopus 로고    scopus 로고
    • Metamathematics of Fuzzy Logic
    • Kluwer
    • P. Hájek. Metamathematics of Fuzzy Logic, Trends in Logic vol. 4, Kluwer, 1998.
    • (1998) Trends in Logic , vol.4
    • Hájek, P.1
  • 22
    • 0002753240 scopus 로고
    • Commutative, residuated l-monoids
    • In Höhle, U. and Klement. E.P. eds., Kluwer Acad. Publ., Dordrecht
    • U. Höhle. Commutative, residuated l-monoids. In Höhle, U. and Klement. E.P. eds., Non-Classical Logics and Their Applications to Fuzzy Subsets, Kluwer Acad. Publ., Dordrecht (1995) 55-106.
    • (1995) Non-Classical Logics and Their Applications to Fuzzy Subsets , pp. 55-106
    • Höhle, U.1
  • 23
    • 18244398652 scopus 로고    scopus 로고
    • Standard Completeness Theorem for IIMTL
    • Available online
    • R. Horcik. Standard Completeness Theorem for IIMTL, Archive for Mathematical Logic. Available online.
    • Archive for Mathematical Logic
    • Horcik, R.1
  • 24
    • 33750129745 scopus 로고    scopus 로고
    • Structure of Commutative Cancellative Residuated Lattices in (0,1]
    • Submitted
    • H. Horcik. Structure of Commutative Cancellative Residuated Lattices in (0,1]. Submitted.
    • Horcik, H.1
  • 25
    • 0038336663 scopus 로고    scopus 로고
    • On the structure of rotation-invariant semigroups
    • S. Jenei. 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
  • 26
    • 39749111349 scopus 로고    scopus 로고
    • A proof of standard completeness for Esteva and Godo's logic MTL
    • S. Jenei and F. Montagna. A proof of standard completeness for Esteva and Godo's logic MTL, Studia Logica 70 (2002) 183-192.
    • (2002) Studia Logica , vol.70 , pp. 183-192
    • Jenei, S.1    Montagna, F.2
  • 27
    • 0038137203 scopus 로고    scopus 로고
    • A general method for constructing left-continuous t-norms
    • S. Jenei and F. Montagna. A general method for constructing left-continuous t-norms, Fuzzy Sets and Systems 136 (2003) 263-282.
    • (2003) Fuzzy Sets and Systems , vol.136 , pp. 263-282
    • Jenei, S.1    Montagna, F.2
  • 29
    • 26044437946 scopus 로고    scopus 로고
    • Perfect and bipartite IMTL-algebras and disconnected rotations of prelinear semihoops
    • To appear at
    • C. Noguera, F. Esteva and J. Gispert. Perfect and bipartite IMTL-algebras and disconnected rotations of prelinear semihoops. To appear at Archive for Mathematical Logic.
    • Archive for Mathematical Logic
    • Noguera, C.1    Esteva, F.2    Gispert, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.