| Title:
|
Algebras on subintervals of BL-algebras, pseudo BL-algebras and bounded residuated $\ell $-monoids (English) |
| Author:
|
Dvurečenskij, Anatolij |
| Author:
|
Hyčko, Marek |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
56 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
125-144 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03B52 |
| MSC:
|
03G25 |
| MSC:
|
06D35 |
| MSC:
|
06F05 |
| idZBL:
|
Zbl 1150.03347 |
| idMR:
|
MR2229337 |
| . |
| Date available:
|
2009-09-25T14:30:48Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133181 |
| . |
| Reference:
|
[1] AGLIANO P.-MONTAGNA F.: Varieties of BL-algebras I: General properties.J. Pure Appl. Algebra 181 (2003), 105-129. Zbl 1034.06009, MR 1975295 |
| Reference:
|
[2] BAHLS P.-COLE J.-GALATOS N.-JIPSEN P.-TSINAKIS C.: Cancellative residuated lattices.Algebra Universalis 50 (2003), 83-106. Zbl 1092.06012, MR 2026830 |
| Reference:
|
[3] CHAJDA I.-KÜHR J.: A note on interval MV-algebras.Math. Slovaca 56 (2006), 47-52. Zbl 1164.06010, MR 2217579 |
| Reference:
|
[4] CHAJDA I.-KÜHR J.: GMV-algebras and meet-semilattices with sectionally antitone permutations.Math. Slovaca (To appear). Zbl 1141.06002, MR 2250079 |
| Reference:
|
[5] CIGNOLI R.-ESTEVA F.-GODO L.-TORRENS A.: Basic fuzzy logic is the logic of continuous t-norms and their residua.Soft Comput. 4 (2000), 106-112. |
| Reference:
|
[6] DI NOLA A.-LETTIERI A.: Finite BL-algebras.Discrete Math. 269 (2003), 93-112. Zbl 1025.06008, MR 1989455 |
| Reference:
|
[7] DI NOLA A.-GEORGESCU G.-IORGULESCU A.: Pseudo BL-algebras: Part I.Mult.-Valued Log. 8 (2002), 673-714. MR 1948853 |
| Reference:
|
[8] DI NOLA A.-GEORGESCU G.-IORGULESCU A.: Pseudo BL-algebras: Part II.Mult.-Valued Log. 8 (2002), 717-750. MR 1948854 |
| Reference:
|
[9] DVUREČENSKIJ A.: Pseudo MV-algebras are intervals in t-groups.J. Aust. Math. Soc. 70 (2002), 427-445. MR 1902211 |
| Reference:
|
[10] DVUREČENSKIJ A.-RACHŮNEK J.: Bounded commutative residuated t-monoids with general comparability and states.Soft Comput. 10 (2006), 212-218. |
| Reference:
|
[11] DVUREČENSKIJ A.-RACHŮNEK J.: Probabilistic averaging in bounded commutative residuated t-monoids.Discrete Math. (2006) (To appear). MR 2237716 |
| Reference:
|
[12] DVUREČENSKIJ A.-RACHŮNEK J.: Probabilistic averaging in bounded Rt-monoids.Semigroup Forum 72 (2006), 190-206. MR 2216089 |
| Reference:
|
[13] GEORGESCU G.-IORGULESCU A.: Pseudo-MV algebras.Mult.-Valued Log. 6 (2001), 95-135. Zbl 1014.06008, MR 1817439 |
| Reference:
|
[14] HÁJEK P.: Basic fuzzy logic and BL-algebras.Soft Comput. 2 (1998), 124-128. |
| Reference:
|
[15] JAKUBÍK J.: On interval subalgebras of generalized MV-algebras.Math. Slovaca 56 (2006) (To appear). Zbl 1141.06006, MR 2267760 |
| Reference:
|
[16] RACHŮNEK J.: A non-commutative generalization of MV-algebras.Czechoslovak Math. J. 52 (2002), 255-273. Zbl 1012.06012, MR 1905434 |
| . |
