메뉴 건너뛰기




Volumn 69, Issue 4, 2006, Pages 359-387

On the axioms of residuated structures: Independence, dependencies and rough approximations

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; APPROXIMATION THEORY;

EID: 33644624308     PISSN: 01692968     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (13)

References (29)
  • 2
    • 0001944480 scopus 로고    scopus 로고
    • Infinite-valued gödel logics with 0-1 projections and relativizations
    • (P. Hájek, Ed.), Springer-Verlag
    • Baaz, M.: Infinite-valued Gödel Logics with 0-1 Projections and Relativizations, GÖDEL96-Logical Foundations of Mathematics, Computer Science and Physics (P. Hájek, Ed.), Springer-Verlag, 1996, 23-33.
    • (1996) GÖDEL96-Logical Foundations of Mathematics, Computer Science and Physics , pp. 23-33
    • Baaz, M.1
  • 6
    • 84942879185 scopus 로고    scopus 로고
    • Heyting Wajsberg algebras as an abstract environment linking fuzzy and rough sets
    • Cattaneo, G., Ciucci, D.: Heyting Wajsberg algebras as an abstract environment linking fuzzy and rough sets, Lecture Notes in Artificial Intelligence, 2475, 2002, 77-84.
    • (2002) Lecture Notes in Artificial Intelligence , vol.2475 , pp. 77-84
    • Cattaneo, G.1    Ciucci, D.2
  • 8
    • 0141717657 scopus 로고    scopus 로고
    • Shadowed sets and related algebraic structures
    • Cattaneo, G., Ciucci, D.: Shadowed sets and related algebraic structures, Fundamenta Informaticae, 55(3-4), 2003, 255-284.
    • (2003) Fundamenta Informaticae , vol.55 , Issue.3-4 , pp. 255-284
    • Cattaneo, G.1    Ciucci, D.2
  • 9
    • 33746760906 scopus 로고    scopus 로고
    • Algebraic structures for rough sets
    • Fuzzy Rough Sets (D. Dubois, J. Gryzmala-Busse, M. Inuiguchi, L. Polkowski, Eds.), Springer Verlag
    • Cattaneo, G., Ciucci, D.: Algebraic structures for rough sets, in: Fuzzy Rough Sets (D. Dubois, J. Gryzmala-Busse, M. Inuiguchi, L. Polkowski, Eds.), vol. 3135 of LNCS - Transactions on Rough Sets, Springer Verlag, 2004, 218-264.
    • (2004) LNCS - Transactions on Rough Sets , vol.3135 , pp. 218-264
    • Cattaneo, G.1    Ciucci, D.2
  • 10
    • 24044482292 scopus 로고    scopus 로고
    • Algebraic structures related to many valued logical systems. Part I: Heyting wajsberg algebras
    • Cattaneo, G., Ciucci, D., Giuntini, R., Konig, M.: Algebraic Structures Related to Many Valued Logical Systems. Part I: Heyting Wajsberg Algebras, Fundamenta Informaticae, 63(4), 2004, 331-355.
    • (2004) Fundamenta Informaticae , vol.63 , Issue.4 , pp. 331-355
    • Cattaneo, G.1    Ciucci, D.2    Giuntini, R.3    Konig, M.4
  • 11
    • 24044474394 scopus 로고    scopus 로고
    • Algebraic structures related to many valued logical systems. Part II: Equivalence among some widespread structures
    • Cattaneo, G., Ciucci, D., Giuntini, R., Konig, M.: Algebraic Structures Related to Many Valued Logical Systems. Part II: Equivalence Among some Widespread Structures, Fundamenta Informaticae, 63(4), 2004, 357-373.
    • (2004) Fundamenta Informaticae , vol.63 , Issue.4 , pp. 357-373
    • Cattaneo, G.1    Ciucci, D.2    Giuntini, R.3    Konig, M.4
  • 12
    • 0012619123 scopus 로고    scopus 로고
    • Independent axiomatization of MV-algebras
    • Special Issue: Quantum Structures II, Dedicated to Gudrun Kalmbach
    • Cattaneo, G., Lombardo, F.: Independent axiomatization of MV-algebras, Tatra Mountains Mathematical Publication, 15, 1998, 227-232, Special Issue: Quantum Structures II, Dedicated to Gudrun Kalmbach.
    • (1998) Tatra Mountains Mathematical Publication , vol.15 , pp. 227-232
    • Cattaneo, G.1    Lombardo, F.2
  • 13
    • 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.: 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
  • 16
    • 18144418337 scopus 로고    scopus 로고
    • Equational characterization of the subvarieties of BL generated by t-norm algebras
    • Esteva, F., Godo, L., Montagna, F.: Equational Characterization of the Subvarieties of BL Generated by t-norm Algebras, Studia Logica, 76, 2004, 161-200.
    • (2004) Studia Logica , vol.76 , pp. 161-200
    • Esteva, F.1    Godo, L.2    Montagna, F.3
  • 17
    • 12944263193 scopus 로고    scopus 로고
    • Adding involution to residuated structures
    • Galatos, N., Raftery, J.: Adding Involution to Residuated Structures, Studia Logica, 77, 2004, 181-207.
    • (2004) Studia Logica , vol.77 , pp. 181-207
    • Galatos, N.1    Raftery, J.2
  • 20
    • 0002683430 scopus 로고
    • On certain algebras related to many valued logics
    • Italian
    • Mangani, G. C.: On certain algebras related to many valued logics, Boll. Un. Mat. Ital., 8, 1973, 68-78, (Italian).
    • (1973) Boll. Un. Mat. Ital. , vol.8 , pp. 68-78
    • Mangani, G.C.1
  • 21
    • 33644618814 scopus 로고    scopus 로고
    • Di Nola and Gerla
    • Δ Algebras, in: Di Nola and Gerla [14], 2001, 159-171.
    • (2001) Δ Algebras , Issue.14 , pp. 159-171
    • Montagna, F.1
  • 23
    • 0011690945 scopus 로고
    • Sur les algèbres de heyting symétriques
    • Monteiro, A.: Sur Les Algèbres de Heyting symétriques, Portugaliae Mathematica, 39, 1980, 1-237.
    • (1980) Portugaliae Mathematica , vol.39 , pp. 1-237
    • Monteiro, A.1
  • 24
    • 0036498107 scopus 로고    scopus 로고
    • A comparative study of fuzzy rough sets
    • Radzikowska, A., Kerre, E.: A comparative study of fuzzy rough sets, Fuzzy Sets and Systems, 126(2), 2002, 137-155.
    • (2002) Fuzzy Sets and Systems , vol.126 , Issue.2 , pp. 137-155
    • Radzikowska, A.1    Kerre, E.2
  • 25
    • 9444248762 scopus 로고    scopus 로고
    • On L-fuzzy rough sets
    • Lecture Notes in Artificial Intelligence, 3070, Springer-Verlag
    • Radzikowska, A., Kerre, E.: On L-Fuzzy Rough Sets, ICAISC 2004 Proceedings, Lecture Notes in Artificial Intelligence, 3070, Springer-Verlag, 2004, 526-531.
    • (2004) ICAISC 2004 Proceedings , pp. 526-531
    • Radzikowska, A.1    Kerre, E.2
  • 26
    • 24044473146 scopus 로고
    • Polish Academy of Sciences, Wroclaw
    • Surma, S.: Logical Works, Polish Academy of Sciences, Wroclaw, 1977.
    • (1977) Logical Works
    • Surma, S.1
  • 28
    • 0005977104 scopus 로고
    • Beiträge zum metaaussagenkalkül I
    • English Translation in [26]
    • Wajsberg, M.: Beiträge zum Metaaussagenkalkül I, Monashefte fur Mathematik un Physik, 42, 1935, 221-242, English Translation in [26].
    • (1935) Monashefte fur Mathematik un Physik , vol.42 , pp. 221-242
    • Wajsberg, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.