BZ-algebra, as the common generalization of BCI-algebra and BCC-algebra, is a kind important logic algebra. Herein, new concepts QM-BZ-algebra quasi-hyper BZ-algebra are proposed their structures constructions studied. First, definition presented, structure obtained: Each KG-union quasi-alter BCK-algebra anti-grouped BZ-algebra. Second, generalized quasi-left alter (hyper) BZ-algebras QM-hyper ...

Hyper-minimization of deterministic nite automata (dfa) is a recently introduced state reduction technique that allows a nite change in the recognized language. A generalization of this lossy compression method to the weighted setting over semi elds is presented, which allows the recognized weighted language to di er for nitely many input strings. First, the structure of hyper-minimal determini...

Though completely integrable Camassa-Holm (CH) equation and Degasperis-Procesi (DP) equation are cast in the same peakon family, they possess the secondand third-order Lax operators, respectively. From the viewpoint of algebro-geometrical study, this difference lies in hyper-elliptic and non-hyper-elliptic curves. The non-hyper-elliptic curves lead to great difficulty in the construction of alg...

in this note first we define the notions of fuzzy positive implicativehyper bck-ideals of types 1,2,3 and 4. then we prove some theorems whichcharacterize the above notions according to the level subsets. also we obtainthe relationships among these notions, fuzzy (strong, weak, reflexive) hyperbck-ideals and fuzzy positive implicative hyper bck-ideals of types 5,6,7and 8. then, we define the no...

This  paper extends the notion of fuzzy $BCK$-subalgebras to fuzzy hyper $BCK$-subalgebras and defines an extended fuzzy $BCK$-subalgebras. This study  considers  a type of fuzzy hyper  $BCK$-ideals  in this  hyperstructure  and  describes   the  relationship  between hyper  $BCK$-ideals and  fuzzy hyper  $BCK$-ideals.  In fact, it tries to introduce   a  strongly  regular  relation  on hyper $...

The aim of this paper is the study of some laws of random probability distributions, called hyper Dirichlet processes, charging the product of three sample spaces, with the property that the first and the third components are independent conditional to the second one. The law of the marginals on the first two and on the last two components are specified to be Dirichlet processes with the same m...

http://dx.doi.org/10.1016/j.eswa.2013.12.050 0957-4174/ 2014 Elsevier Ltd. All rights reserved. ⇑ Corresponding author. Tel.: +44 7873729666, +966 506620227. E-mail addresses: [email protected], [email protected] (M. Maashi), [email protected] (E. Özcan), graham.kendall@ nottingham.edu.my (G. Kendall). 1 Tel.: +6 (03) 8924 8306. Mashael Maashi a,⇑, Ender Özcan , Graham ...