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Volumn 8, Issue 7, 2004, Pages 449-463

Iséki algebras. Connection with BL algebras

Author keywords

BCK algebra; BL algebra; G del algebra; Is ki algebra; MV algebra; Product algebra; T conorm; T norm

Indexed keywords


EID: 15744373074     PISSN: 14327643     EISSN: 14337479     Source Type: Journal    
DOI: 10.1007/s00500-003-0304-0     Document Type: Article
Times cited : (23)

References (52)
  • 4
    • 26244444437 scopus 로고
    • Editura Didacticǎ si Pedagogicǎ, (Romanian)
    • Bucur I (1965) Algebra omologicǎ, Editura Didacticǎ si Pedagogicǎ, (Romanian)
    • (1965) Algebra Omologicǎ
    • Bucur, I.1
  • 6
    • 84968495744 scopus 로고
    • Algebraic analysis of many valued logics
    • Chang CC (1958) Algebraic analysis of many valued logics. Trans Amer Math Soc 88: 467-490
    • (1958) Trans Amer Math Soc , vol.88 , pp. 467-490
    • Chang, C.C.1
  • 8
    • 0000817320 scopus 로고    scopus 로고
    • Basic fuzzy logic is the logic of continuous t-norms and their residua
    • to appear
    • Cignoli R, Esteva F, Godo L, Torrens A Basic fuzzy logic is the logic of continuous t-norms and their residua. Soft Computing, (to appear)
    • Soft Computing
    • Cignoli, R.1    Esteva, F.2    Godo, L.3    Torrens, A.4
  • 10
    • 26244439995 scopus 로고
    • Lattice-ordered groups and BCK-algebras
    • Cornish WH (1980) Lattice-ordered groups and BCK-algebras. Math Japonica 25(4): 471-476
    • (1980) Math Japonica , vol.25 , Issue.4 , pp. 471-476
    • Cornish, W.H.1
  • 11
    • 0011043287 scopus 로고
    • BCK-algebras with a supremum
    • Cornish WH (1982) BCK-algebras with a supremum. Math Japonica, 27(1): 63-73
    • (1982) Math Japonica , vol.27 , Issue.1 , pp. 63-73
    • Cornish, W.H.1
  • 14
    • 0036344748 scopus 로고    scopus 로고
    • Pseudo MV-algebras are intervals in 1-groups
    • Dvurečenskij A (2002) Pseudo MV-algebras are intervals in 1-groups. J Austral Math Soc 70
    • (2002) J Austral Math Soc , vol.70
    • Dvurečenskij, A.1
  • 15
    • 0041579996 scopus 로고    scopus 로고
    • On representations of commutative BCK-algebras
    • Dvurečenskij A, Graziano MG (1999) On Representations of Commutative BCK-algebras. Demonstratio Math 32: 227-246
    • (1999) Demonstratio Math , vol.32 , pp. 227-246
    • Dvurečenskij, A.1    Graziano, M.G.2
  • 17
    • 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 and Systems 124(3): 271-288
    • (2001) Fuzzy Sets and Systems , vol.124 , Issue.3 , pp. 271-288
    • Esteva, F.1    Godo, L.2
  • 22
    • 0037913568 scopus 로고    scopus 로고
    • Pseudo-BL algebras: A noncommutative extension of BL algebras
    • Abstracts of the, Slovakia
    • Georgescu G, Iorgulescu A (2000) Pseudo-BL algebras: A noncommutative extension of BL algebras. Abstracts of the Fifth International Conference FSTA 2000, Slovakia: 90-92
    • (2000) Fifth International Conference FSTA 2000 , pp. 90-92
    • Georgescu, G.1    Iorgulescu, A.2
  • 24
    • 26244432312 scopus 로고
    • T-Normen und φ-Operatoren als Wahrheitswertfunktionen mehrwertiger Junktoren
    • Wechsung G (ed) Frege Conference 1984, Proc Intern Conf Schwerin, Berlin (Akademie-Verlag)
    • Gottwald S (1984) T-Normen und φ-Operatoren als Wahrheitswertfunktionen mehrwertiger Junktoren. In: Wechsung G (ed) Frege Conference 1984, Proc Intern Conf Schwerin, Math Research, Vol. 20, Berlin (Akademie-Verlag): 121-128
    • (1984) Math Research , vol.20 , pp. 121-128
    • Gottwald, S.1
  • 25
    • 3042793686 scopus 로고
    • Fuzzy set theory with t-norms and φoperators
    • Di Nola A, Ventre AGS (eds) The Mathematics of Fuzzy Systems, Köln (TÜV Rheinland)
    • Gottwald S (1986) Fuzzy set theory with t-norms and φoperators. In: Di Nola A, Ventre AGS (eds) The Mathematics of Fuzzy Systems, Interdisciplinary Systems Res, Vol. 88, Köln (TÜV Rheinland): 143-195
    • (1986) Interdisciplinary Systems Res , vol.88 , pp. 143-195
    • Gottwald, S.1
  • 27
    • 0013337219 scopus 로고    scopus 로고
    • A treatise on many-valued logics
    • Research Studies Press: Baldock, Hertfordshire, England
    • Gottwald S (2001) A Treatise on Many-Valued Logics. Studies in Logic and Computation, Vol. 9, Research Studies Press: Baldock, Hertfordshire, England
    • (2001) Studies in Logic and Computation , vol.9
    • Gottwald, S.1
  • 28
    • 0002901936 scopus 로고
    • Algebraic analysis of Lukasiewicz-Tarski's n-valued logical systems
    • Wójcicki R, Malinowski G (eds) Polish Acad of Sciences, Ossolineum, Wroclaw
    • Grigolia R (1977) Algebraic analysis of Lukasiewicz-Tarski's n-valued logical systems. In: Wójcicki R, Malinowski G (eds) Selected Papers on Lukasiewicz Sentential Calculi, Polish Acad of Sciences, Ossolineum, Wroclaw: 81-92
    • (1977) Selected Papers on Lukasiewicz Sentential Calculi , pp. 81-92
    • Grigolia, R.1
  • 29
    • 22444437167 scopus 로고
    • On some problem on BCK-algebras
    • Grzaślewicz A (1980) On some problem on BCK-algebras. Math Japonica 25(4): 497-500
    • (1980) Math Japonica , vol.25 , Issue.4 , pp. 497-500
    • Grzaślewicz, A.1
  • 30
    • 22444444576 scopus 로고    scopus 로고
    • Metamathematics of fuzzy logic
    • Inst of Comp Science, Academy of Science of Czech Rep.
    • Hájek P (1996) Metamathematics of fuzzy logic. Inst of Comp Science, Academy of Science of Czech Rep., Technical report 682
    • (1996) Technical Report , vol.682
    • Hájek, P.1
  • 32
    • 0000673538 scopus 로고    scopus 로고
    • Basic fuzzy logic and BL-algebras
    • Hájek P (1998) Basic fuzzy logic and BL-algebras. Soft Computing 2: 124-128
    • (1998) Soft Computing , vol.2 , pp. 124-128
    • Hájek, P.1
  • 33
    • 0030304456 scopus 로고    scopus 로고
    • A complete many-valued logic with product-conjunction
    • Hájek P, Godo L, Esteva F (1996) A complete many-valued logic with product-conjunction. Arch Math Logic 35:191-208
    • (1996) Arch Math Logic , vol.35 , pp. 191-208
    • Hájek, P.1    Godo, L.2    Esteva, F.3
  • 34
    • 0002753240 scopus 로고
    • Commutative, residuated 1-monoids
    • Höhle U, Klement EP (eds) Kluwer Academic Publishers, Dordrecht
    • Höhle U (1995) Commutative, residuated 1-monoids. In: Höhle U, Klement EP (eds) Non-Classical Logics and Their Applications to Fuzzy Subsets. Kluwer Academic Publishers, Dordrecht: 53-106
    • (1995) Non-classical Logics and Their Applications to Fuzzy Subsets , pp. 53-106
    • Höhle, U.1
  • 35
    • 0002002333 scopus 로고
    • On axiom systems of prepositional calculi XIV
    • Imai Y, Iséki K (1966) On axiom systems of prepositional calculi XIV. Proc Japan Academy 42: 19-22
    • (1966) Proc Japan Academy , vol.42 , pp. 19-22
    • Imai, Y.1    Iséki, K.2
  • 36
    • 0042496383 scopus 로고    scopus 로고
    • n algebras and n-valued Lukasiewicz-Moisil algebras-I
    • n algebras and n-valued Lukasiewicz-Moisil algebras-I, Discrete Math 181(1-3): 155-177
    • (1998) Discrete Math , vol.181 , Issue.1-3 , pp. 155-177
    • Iorgulescu, A.1
  • 37
    • 0042206001 scopus 로고    scopus 로고
    • n algebras and n-valued Lukasiewicz-Moisil algebras-II
    • n algebras and n-valued Lukasiewicz-Moisil algebras-II. Discrete Math 202: 113-134
    • (1999) Discrete Math , vol.202 , pp. 113-134
    • Iorgulescu, A.1
  • 38
    • 85045609700 scopus 로고    scopus 로고
    • n algebras and n-valued Lukasiewicz-Moisil algebras-III
    • submitted
    • n algebras and n-valued Lukasiewicz-Moisil algebras-III, Discrete Math (submitted)
    • Discrete Math
    • Iorgulescu, A.1
  • 39
    • 26244447784 scopus 로고    scopus 로고
    • n algebras and n-valued Lukasiewicz-Moisil algebras-IV
    • n algebras and n-valued Lukasiewicz-Moisil algebras-IV. J Universal Computer Sci 6(1): 139-154
    • (2000) J Universal Computer Sci , vol.6 , Issue.1 , pp. 139-154
    • Iorgulescu, A.1
  • 40
    • 15744396708 scopus 로고    scopus 로고
    • Pseudo-Iséki algebras. Connection with pseudoBL algebras
    • submitted
    • Iorgulescu A Pseudo-Iséki algebras. Connection with pseudoBL algebras. Mult Val Logic (submitted)
    • Mult Val Logic
    • Iorgulescu, A.1
  • 41
    • 17444382485 scopus 로고    scopus 로고
    • Some direct ascendents of Wajsberg and MV algebras
    • Iorgulescu A (2003) Some direct ascendents of Wajsberg and MV algebras. Sciential Matematical Japonical (SCMJ) 57(3): 583-647
    • (2003) Sciential Matematical Japonical (SCMJ) , vol.57 , Issue.3 , pp. 583-647
    • Iorgulescu, A.1
  • 42
    • 0010956474 scopus 로고
    • BCK-algebras with condition (S)
    • Iséki K (1979) BCK-Algebras with condition (S). Math Japonica 24(1): 107-119
    • (1979) Math Japonica , vol.24 , Issue.1 , pp. 107-119
    • Iséki, K.1
  • 43
    • 0002665895 scopus 로고
    • An introduction to the theory of BCK-algebras
    • Iséki K, Tanaka S (1978) An introduction to the theory of BCK-algebras. Math Japonica 23(1): 1-26
    • (1978) Math Japonica , vol.23 , Issue.1 , pp. 1-26
    • Iséki, K.1    Tanaka, S.2
  • 45
    • 0001494367 scopus 로고
    • MV-algebras are categorically equivalent to bounded commutative BCK-algebras
    • Mundici D (1986) MV-algebras are categorically equivalent to bounded commutative BCK-algebras. Math Japonica 31(6): 889-894
    • (1986) Math Japonica , vol.31 , Issue.6 , pp. 889-894
    • Mundici, D.1
  • 46
    • 0001797805 scopus 로고
    • Interpretation of AF C*-algebras in Lukasiewicz sentential calculus
    • Mundici D (1986) Interpretation of AF C*-algebras in Lukasiewicz sentential calculus. J Funct Anal 65: 15-63
    • (1986) J Funct Anal , vol.65 , pp. 15-63
    • Mundici, D.1
  • 48
    • 0011638258 scopus 로고
    • On commutative BCK-algebras
    • Romanowska A, Traczyk T (1980) On commutative BCK-algebras. Math Japonica 25(5): 567-583
    • (1980) Math Japonica , vol.25 , Issue.5 , pp. 567-583
    • Romanowska, A.1    Traczyk, T.2
  • 49
    • 0000878208 scopus 로고
    • On the variety of bounded commutative BCK-algebras
    • Traczyk T (1979) On the variety of bounded commutative BCK-algebras. Math Japonica 24(3): 283-292
    • (1979) Math Japonica , vol.24 , Issue.3 , pp. 283-292
    • Traczyk, T.1
  • 50
    • 0001903020 scopus 로고    scopus 로고
    • BL-algebras of basic fuzzy logic
    • Turunen E (1999) BL-algebras of Basic Fuzzy Logic. Mathware and Soft Computing 6: 49-61
    • (1999) Mathware and Soft Computing , vol.6 , pp. 49-61
    • Turunen, E.1
  • 51
    • 22444451537 scopus 로고
    • Beiträge zum Mataaussagenkalkül
    • Wajsberg M (1935) Beiträge zum Mataaussagenkalkül. Monat Math Phys 42: 240
    • (1935) Monat Math Phys , vol.42 , pp. 240
    • Wajsberg, M.1
  • 52
    • 0000868541 scopus 로고
    • An algebraic motivation for BCK-algebras
    • Wronski A (1985) An algebraic motivation for BCK-algebras. Math Japonica 30(2): 187-193
    • (1985) Math Japonica , vol.30 , Issue.2 , pp. 187-193
    • Wronski, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.