The Analytic Hierarchy Process (AHP) is a structured decision making support tool that has been used by the Ministry of Defence and DSTA for evaluating weapon systems and platforms. Since 2005, AHP has also been adopted in the evaluation of several large-scale non-defence government tenders. As the Singapore Armed Forces transforms into a Third Generation fighting force, new technologies and co...

Managing natural resource lands requires social, as well as biophysical, considerations. Unfortunately, it is extremely difficult to accurately assess and quantify changing social preferences, and to aggregate conflicting opinions held by diverse social groups. The Analytic Hierarchy Process (AHP) provides a systematic, explicit, rigorous, and robust mechanism for eliciting and quantifying subj...

Credit risk assessment for consumers has been a cornerstone of risk management in financial institutions and constitutes a component of the three pillars of Basel II. Traditionally, the concept of 5 ‘C’s was widely adopted by financial institutions as the key basis for credit risk assessment for loan applications by prospective borrowers. With the evolution of the credit risk management practic...

A complex stochastic process is a fundamental connection between two dimensional stochastic processes. Similarly, a complex fuzzy process is proposed and the complex differential and complex Liu integral of complex Liu process are studied in this paper. Especially, some properties of analytic functions of complex Liu process are proved. Finally, complex differential equations are defined.

the decision to buy, sell, design and construct residential apartments is a complex process due to a combination of multiplequalitative and quantitative factors. it thus requires a great deal of costs and time for decision makers in this market. identifying these factors and determining the priority of them are importance for selectingan apartment. the aim of current research is to identify the...

In this paper we extend fuzzy analytic hierarchy process into neutrosophic cubic environment. The neutrosophic cubic analytic hierarchy process can be used to manage more complex problems when the decision makers has a number of uncertainty, assigning preferences values to the considered object. We also define the concept of triangular neutrosophic cubic numbers and their operations laws. The a...

When choosing a decision analysis technique to model a particular complex decision the fundamentals of the technique chosen should be understood by the analyst, and they should be appropriate for the characteristics of the problem itself. For analysing such complex decisions the Analytic Hierarchy Process is one of the most commonly used techniques. This technical note highlights a number of th...

One of the most advanced and complex multi-criteria decision-making methods is the analytic network process (ANP). This method supports modelling dependencies and feedback between elements in the network. For this reason, the ANP is one of the most appropriate methods for making decisions in fields that are characterised by existing dependencies of higher-level elements on lower level elements....

This progress report outlines the main reasons why Saaty’s Analytic Hierarchy Process (AHP, see [17] and [18]) is not a valid methodology.

Decisions involve many intangibles that need to be traded off. To do that, they have to be measured along side tangibles whose measurements must also be evaluated as to, how well, they serve the objectives of the decision maker. The Analytic Hierarchy Process (AHP) is a theory of measurement through pairwise comparisons and relies on the judgements of experts to derive priority scales. It is th...