In this paper, by considering the notion of hyper hoop-algebras, we define the concepts of (strong) regular relations on hyper hoop-algebras and investigate some properties of them. Then we construct a quotient (hyper) hoop-algebra by a (strong)regular relation on hyper hoop-algebras. Finally, we define the notion of maximal filter and we investigate the relation between quotient simple hyper h...

Hyper-spectral Atmospheric Infrared Sounder has many channels. Although, it has been carried out channel selection in the actual application process, but compared with the previous detector, the channel also seems more and thus easy to weak correlation between channels, which is not obey classical variational assimilation theory requires observation error is not related. Hyper-spectral sounder ...

This paper discusses some details of Vachaspati’s particle-monopole correspondence and their relation to a dual standard model. We show that contained within his correspondence are several sub-correspondences relating to electroweak, strong and hypercharge interactions. Associated with each of these we propose an analogous dual model; the use of these being to examine in isolation specific feat...

The purpose of this document is to develop some the basic theory multipliers algebra dual BCK-algebras. In study we demonstrate concept left bi-multiplier and right BCK (DBCK-algebra) algebras. Several examples results pertaining these on DBCK-algebras are developed based definitions. Then characteristics bi-multipliers obtained properties DBCK-algebras. We focused behavior elements under also ...

Molodtsov [8] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to the theory of BCK-algebras. The notions of positive implicative soft ideals and positive implicative idealistic soft BCK-algebras are intro...

In order to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties, the notion of double-framed soft sets is introduced, and applications in BCK/BCI-algebras are discussed. The notions of double-framed soft algebras in BCK/BCIalgebras are introduced, and related properties are investigated. Characterizations of doubleframed soft algebras are...

We explore properties of the set of d-units of a d-algebra. A property of interest in the study of d-units in d-algebras is the weak associative property. It is noted that many other d-algebras, especially BCK-algebras, are in fact weakly associative. The existence of d/BCK-algebras which are not weakly associative is demonstrated. Moreover, the notions of a d-integral domain and a left-injecti...

It is well-known that the representation of several classes of residuated lattices involves lattice-ordered groups. An often applicable method to determine the representing group (or groups) from a residuated lattice is based on partial algebras: the monoidal operation is restricted to those pairs which fulfil a certain extremality condition, and else left undefined. The subsequent construction...

Starting from quasi-Wajsberg algebras (which are generalizations of Wajsberg algebras), whose regular sets are Wajsberg algebras, we introduce a theory of quasi-algebras versus, in parallel, a theory of regular algebras. We introduce the quasi-RM, quasi-RML, quasi-BCI, (commutative, positive implicative, quasi-implicative, with product) quasi-BCK, quasi-Hilbert and quasi-Boolean algebras as gen...