The Analytic Hierarchy Process (AHP) (Saaty, 1990) has been accepted as a leading multiattribute decision model both by practitioners and academics. AHP can solve decision problems in various fields by the prioritization of alternatives. The heart of the most familiar version of the AHP is the Saaty’s eigenvector method (EM) which approximates an positive reciprocal matrix n n× ) ( ij a A = , ,...

the main purpose of this paper is to introduce and study new classes of soft closed sets like soft regular generalized b-closed sets in soft topological spaces (brie y soft rgb-closed set) moreover, soft rg-closed, soft gpr-closed, soft gb-closed, soft gsp-closed, soft g-closed, soft gb-closed, and soft sgb-closed sets in soft topological spaces are introduced in this paper and we investigat...

A parallel algorithm for finding the frequent itemsets in a set of transactions is presented. The frequent individual items are identified by their index. We assume that processors number (m) is less than the frequent items number (n). At the first stage, every processor Pi, i ∈ {1, . . . ,m − 1} sequentially computes the frequent itemsets from the interval Ii = [(i − 1) · p + 1, i · p], where ...

It is shown that the local coupling of a higher dimensional graviton to a closed degenerate two-form produces dimensional reduction by spontaneous breakdown of extra-dimensional translational symmetry. Four dimensional Poincaré invariance emerges as residual symmetry. As a specific example, a six dimensional geometry coupled to a closed rank 2 two-form yields the 'ground state' ds 2 = e −|ξ| 2 ...

The concept of γ-semi-regular-open sets and γ-sclosed spaces have been introduced and explored in [6]. In this paper, we continue studying the properties and characterizations of γ-semi-regular open sets and γ-s-closed spaces.

We consider methods of interpolating between the crystalline and dynamically triangulated random surface models. We argue that actions based on the deviation from six of the coordination number at a site are inadequate and propose an alternative based on Alexander moves. Two simplified models, one of which has a phase transition and the other of which does not, are discussed. Theoretical Physic...

We present a new proof of Banaschewski's theorem stating that the completion lift of a uniform surjection is a surjection. The new procedure allows to extend the fact (and, similarly, the related theorem on closed uniform sublocales of complete uniform frames) to quasi-uniformities ("not necessarily symmetric uniformities"). Further, we show how a (regular) Cauchy point on a closed uniform subl...

Second-order parabolic equations are natural generalizations of the heat equation and we will study in this section the existence, uniqueness, and regularity of appropriately defined weak solutions. 1.1. Formulation of Weak Solutions. 1.1.1. Notations. In this note, we assume Ω to be an open, bounded domain in R n , and set Ω T = Ω × (0, T ]. We study the following initial/boundary-value proble...

Abstract Let a network be represented by simple graph $$\mathcal {G}$$ G with n vertices. A common approach to investigate properties of is use the adjacency matrix $$A=[a_{ij}]_{i,j=1}^n\in \mathbb {R}^{n\times n}$$ A = [ ...

We conduct a dynamical calculation of pentaquark systems with quark contents $sssu\bar{u}$ in the framework two models: chiral model(ChQM) and delocalization color screening model(QDCSM). The effective potentials between baryon meson clusters are given, possible bound states also investigated. Besides, study scattering process open channels is performed to look for any resonance state. results ...