Due to its wide applicability and ease of use, the analytic hierarchy process (AHP) has been studied extensively for the last 20 years. Recently, it is observed that the focus has been confined to the applications of the integrated AHPs rather than the stand-alone AHP. The five tools that commonly combined with the AHP include mathematical programming, quality function deployment (QFD), meta-he...

By the sometimes so-called Main Theorem of Recursive Analysis, every computable real function is necessarily continuous. Weihrauch and Zheng (TCS 2000), Brattka (MLQ2005), and Ziegler (ToCS 2006) have considered different relaxed notions of computability to cover also discontinuous functions. The present work compares and unifies these approaches. This is based on the concept of the jump of a r...

Preference database queries become more and more important in Data Warehousing or Decision Support Systems. In these environments the standard SQL GROUP BY operation with aggregate functions is extensively used in formulating queries. In this paper, we focus on the novel GROUPING functionality of Preference SQL which substantially extends the common aggregation features of SQL GROUP BY. It full...

Reversed liquid crystalline mesophases, such as the reversed bicontinuous cubic, reversed hexagonal or reversed micellar cubic phase, are nowadays widely studied due to their potential applications in, for instance, the controlled delivery of functional molecules. In order to design the adequate mesophase delivery system for a specific application, the crystallographic structure of the phase ha...

It is well known that the dominant eigenvalue of a real essentially nonnegative matrix is a convex function of its diagonal entries. This convexity is of practical importance in population biology, graph theory, demography, analytic hierarchy process, and so on. In this paper, the concept of essentially nonnegativity is extended frommatrices to higher-order tensors, and the convexity and log co...

Multiscale systems that are characterized by a great range of spatial–temporal scales arise widely in many scientific domains. These range from the study of protein conformational dynamics to multiphase processes in, for example, granular media or haemodynamics, and from nuclear reactor physics to astrophysics. Despite the diversity in subject areas and terminology, there are many common challe...

The analytic hierarchy process (AHP) was developed to aid decision makers to rank or sort information based on a number of criteria. A recent advance is the DS/AHP method which incorporates the Dempster–Shafer theory of evidence with AHP. This method allows judgements on groups of decision alternatives (DA) to be made, it also offers a measure of uncertainty in the final results. In this paper ...

Enhancing mixing is of uttermost importance in many laminar microfluidic devices, aiming at overcoming the severe performance limitation of species transport by diffusion alone. Here we focus on the significant category of microscale co-laminar flows encountered in membraneless redox flow cells for power delivery. The grand challenge is to achieve simultaneously convective mixing within each in...

In this paper we have highlighted five existing approaches for introducing personalization in OLAP: preference constructors, dynamic personalization, visual OLAP, recommendations with user session analysis and recommendations with user profile analysis and have analyzed research papers within these directions. We have provided an evaluation in order to point out i) personalization options, desc...

We construct new analytical solutions of the 3 1 -dimensional modified KdV-ZakharovKuznetsev equation by the Exp-function method. Plentiful exact traveling wave solutions with arbitrary parameters are effectively obtained by the method. The obtained results show that the Exp-function method is effective and straightforward mathematical tool for searching analytical solutions with arbitrary para...