Pairwise comparisons have become popular in the theory and practice of preference modelling quantification. In case incomplete data, arrangements known are crucial for quality results. We focus on decision problems where set pairwise can be chosen it is designed completely before making process, without any further prior information. The objective this paper to provide recommendations filling p...

Abstract: In this paper we define the concept of (∈, ∈ ∨qk)-intuitionistic fuzzy h-ideals, (∈, ∈ ∨qk)-intuitionistic fuzzy h-bi-ideals, (∈, ∈ ∨qk) ∗-intuitionistic fuzzy h-quasi-ideals of hemiring. And also characterized h-hemiregular and h-intra-hemiregular hemiring by the properties of these (∈, ∈ ∨qk)-intuitionistic fuzzy h-ideals, (∈, ∈ ∨qk)-intuitionistic fuzzy h-bi-ideals, and (∈, ∈ ∨qk)i...

We study quasi-Hopf algebras and their subobjects over certain commutative rings from the point of view of Frobenius algebras. We introduce a type of Radford formula involving an anti-automorphism and the Nakayama automorphism of a Frobenius algebra, then view several results in quantum algebras from this vantage-point. In addition, separability and strong separability of quasi-Hopf algebras ar...

In the theory of quantum mechanics, an n-level system is described by the algebra Mn =Mn(C) of n× n complex matrices. The matrix algebra of a composite system consisting of an n-level and an m-level system is Mn ⊗Mm ≃ Mnm. A subalgebra of Mk corresponds to a subsystem of a k-level quantum system. In this paper, subalgebras contain the identity and are closed under the adjoint operation of matri...

The NP-hard Distinct Vectors problem asks to delete as many columns as possible from a matrix such that all rows in the resulting matrix are still pairwise distinct. Our main result is that, for binary matrices, there is a complexity dichotomy for Distinct Vectors based on the maximum (H) and the minimum (h) pairwise Hamming distance between matrix rows: Distinct Vectors can be solved in polyno...

Let H be a finite-dimensional quasi-Hopf algebra. We show for each quotient quasibialgebra Q of H that Q is a quasi-Hopf algebra whose dimension divides the dimension of H.

Quasi-bound resonances of H$_2$ are produced via two-photon photolysis H$_2$S molecules as reactive intermediates or transition states, and detected before decay the parent molecule into three separate atoms. As was previously reported [K.F. Lai et al., Phys. Rev. Lett. 127, 183001 (2021)] four centrifugally bound quantum with lifetimes multiple $\mu$s, lying energetically above dissociation li...

for all x ∈ X . Quasi-isometries occur naturally in the study of the geometry of discrete groups since the length spaces on which a given finitely generated group acts cocompactly and properly discontinuously by isometries are quasi-isometric to one another [Gro]. Quasi-isometries also play a crucial role in Mostow’s proof of his rigidity theorem: the theorem is proved by showing that equivaria...

A review of results on Hermite–Hadamard (H-H) type inequalities in quantum calculus, associated with a variety classes convexities, is presented. In the various convexities this includes classical convex functions, quasi-convex p-convex (p,s)-convex modified (p,h)-convex tgs-convex η-quasi-convex ϕ-convex (α,m)-convex ϕ-quasi-convex and coordinated functions. Quantum H-H via preinvex functions ...

We show that the problem whether a given simple graph G admits a quasi-covering to a fixed connected graph H is solvable in polynomial time if H has at most two vertices and that it is NP-complete otherwise. As a byproduct we show constructions of regular quasi-covers and of multi-quasi-covers that might be of independent interest.