Folding theory applied to BL-algebras

• Autorzy: Young Jun , Jung Ko
• Języki publikacji: EN

Abstrakty

EN

The notion of n-fold grisly deductive systems is introduced. Some conditions for a deductive system to be an n-fold grisly deductive system are provided. Extension property for n-fold grisly deductive system is established.

Słowa kluczowe

EN

BL-algebra; (grisly) deductive system; n-fold grisly deductive system; 03G10; 03B52; 06B05

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2004
• Tom: 2
• Numer: 4
• Strony: 584-592

Daty

wydano

2004-08-01

online

2004-08-01

Twórcy

autor

Young Jun

• Gyeongsang National University

autor

Jung Ko

• Kangnung National University

Bibliografia

• [1] L. Biacino and G. Gerla: “An extension principle for closure operators”, J. Math. Anal. Appl., Vol. 198, (1996), pp. 1–24. http://dx.doi.org/10.1006/jmaa.1996.0064
• [2] A. DiNola, G. Georgescu and L. Leustean. “Boolean products of BL-algebras”, J. Math. Appl., Vol. 251, (2000), pp. 106–131. http://dx.doi.org/10.1006/jmaa.2000.7024
• [3] J.A. Goguen: “L-fuzzy sets”, J. Math. Appl., Vol. 18, (1967), pp. 145–174. http://dx.doi.org/10.1016/0022-247X(67)90189-8
• [4] P. Hájek: Metamathematices of Fuzzy Logic, Kluwer Academic Publishers, Dordrecht, 1998.
• [5] Y.B. Jun and J.M. Ko: “Deductive systems of BL-algebras”, Bull. Korean Math. Soc., [submitted].
• [6] Y.B. Jun and J.M. Ko: “Grisly deductive systems of BL-algebras”, Bull. Korean Math. Soc., [submitted].
• [7] J.M. Ko and Y.C. Kim: “Some properties of BL-algebras”, J. Korea Fuzzy Logic and Intelligent Systems, Vol. 11(3), (2001), pp. 286–291.
• [8] J.M. Ko and Y.C. Kim: “Closure operators on BL-algebras”, Comm. Korean Math. Soc., Vol. 19(2), (2004), pp. 219–232.
• [9] E. Turunen: “Boolean deductive systems of BL-algebras”, Arch. Math. Logic, Vol. 40, (2001), pp. 467–473. http://dx.doi.org/10.1007/s001530100088
• [10] E. Turunen: Mathematics behind fuzzy logic, Springer-Verlag Co., Heidelberg, 1999.
• [11] L.A. Zadeh: “From circuit theory to system theory”, Proc. Inst. Radio Eng., Vol. 50, (1962), pp.856–865.
• [12] L.A. Zadeh: “Fuzzy sets”, Inform. and Control, Vol. 8, (1965) pp. 338–353. http://dx.doi.org/10.1016/S0019-9958(65)90241-X

Identyfikatory

DOI

10.2478/BF02475965