GRISLY DEDUCTIVE SYSTEMS OF BL-ALGEBRAS

Jun, Young-Bae; Ko, Jung-Mi

doi:10.4134/BKMS.2005.42.3.443

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GRISLY DEDUCTIVE SYSTEMS OF BL-ALGEBRAS

Journal title : Bulletin of the Korean Mathematical Society
Volume 42, Issue 3, 2005, pp.443-451
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2005.42.3.443

Title & Authors

GRISLY DEDUCTIVE SYSTEMS OF BL-ALGEBRAS
Jun, Young-Bae; Ko, Jung-Mi;

Abstract

The notion of grisly deductive systems of a BL-algebra is introduced. Conditions for a deductive system to be a grisly deductive system are given. Extension property for a grisly deductive system is established

Keywords

(implicative) BL-algebra;(grisly) deductive system;

Language

English

Cited by

1time(s) in KSCD

STRONG DEDUCTIVE SYSTEMS OF BL-ALGEBRAS,;;;

호남수학학술지, 2007. vol.29. 3, pp.445-453

1time(s) in CrossRef

STRONG DEDUCTIVE SYSTEMS OF BL-ALGEBRAS, Honam Mathematical Journal, 2007, 29, 3, 445

References

L. Biacino and G. Gerla, An extension principle for closure operators, J. Math. Anal. Appl. 198 (1996), 1-24

A. DiNola, G. Georgescu, and L. Leustean, Boolean products of BL-algebras, J. Math. Anal. Appl. 251 (2000), 106-131

P. Hajek, Metamathematices of Fuzzy Logic, Kluwer Academic Publishers, Dordrecht, 1998

Y. B. Jun and J. M. Ko, Deductive systems of BL-algebras, Bull. Korean Math. Soc. (submitted)

J. M. Ko and Y. C. Kim, Some properties of BL-algebras, J. Korea Fuzzy Logic and Intelligent Systems 11 (2001), no. 3, 286-291

J. M. Ko and Y. C. Kim, Closure operators on BL-algebras, Comm. Korean Math. Soc. (submitted)

E. Turunen, Boolean deductive systems of BL-algebras, Arch. Math. Logic 40 (2001), 467-473

E. Turunen, Mathematics behind fuzzy logic, Springer-Verlag Co., 1999

L. A. Zadeh, From circuit theory to system theory, Proc. Inst. Radio Eng. 50 (1962), 856-865

10.

L. A. Zadeh, Fuzzy sets, Inform. and Control(Shenyang) 8 (1965), 338-353