On fuzzy B -algebras

Young Bae Jun; Eun Hwan Roh; Hee Sik Kim

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 2, page 375-384
  • ISSN: 0011-4642

Abstract

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The fuzzification of (normal) B -subalgebras is considered, and some related properties are investigated. A characterization of a fuzzy B -algebra is given.

How to cite

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Jun, Young Bae, Roh, Eun Hwan, and Kim, Hee Sik. "On fuzzy $B$-algebras." Czechoslovak Mathematical Journal 52.2 (2002): 375-384. <http://eudml.org/doc/30708>.

@article{Jun2002,
abstract = {The fuzzification of (normal) $B$-subalgebras is considered, and some related properties are investigated. A characterization of a fuzzy $B$-algebra is given.},
author = {Jun, Young Bae, Roh, Eun Hwan, Kim, Hee Sik},
journal = {Czechoslovak Mathematical Journal},
keywords = {normal $B$-subalgebra; fuzzy (normal) $B$-algebra; upper level cut; normal -subalgebra; fuzzy normal -algebra; upper level cut},
language = {eng},
number = {2},
pages = {375-384},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On fuzzy $B$-algebras},
url = {http://eudml.org/doc/30708},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Jun, Young Bae
AU - Roh, Eun Hwan
AU - Kim, Hee Sik
TI - On fuzzy $B$-algebras
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 2
SP - 375
EP - 384
AB - The fuzzification of (normal) $B$-subalgebras is considered, and some related properties are investigated. A characterization of a fuzzy $B$-algebra is given.
LA - eng
KW - normal $B$-subalgebra; fuzzy (normal) $B$-algebra; upper level cut; normal -subalgebra; fuzzy normal -algebra; upper level cut
UR - http://eudml.org/doc/30708
ER -

References

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  1. On B -algebras and quasigroups. Preprint, . MR1876781
  2. On B C H -algebras, Math. Seminar Notes 11 (1983), 313–320. (1983) MR0769036
  3. On proper B C H -algebras, Math. Japon. 30 (1985), 659–661. (1985) MR0812016
  4. On B C I -algebras, Math. Seminar Notes 8 (1980), 125–130. (1980) MR0590171
  5. An introduction to theory of B C K -algebras, Math. Japon. 23 (1978), 1–26. (1978) MR0500283
  6. On B H -algebras, Sci. Math. 1 (1998), 347–354. (1998) MR1688250
  7. B C K -Algebras, Kyung Moon Sa Co., Seoul, 1994. (1994) MR1297121
  8. B -algebras and groups, Submitted. 
  9. 10.1155/S0161171201006627, Int. J. Math. Math. Sci. 27 (2001), 749–757. (2001) MR1877082DOI10.1155/S0161171201006627
  10. A fundamental theorem of B -homomorphism for B -algebras, Submitted. 

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