Contractor selection is one of the most important problem in supply chain and itsstrongly effect on firm`s performance. Because a significant amount of auniversity`s budget assigns to construction contracts, contractor selection is animportant problem for the financial status of universities. Since Contractor selectionis a multi-criteria decision making problem (MCDM), lots of methods proposed ...

Reinforcement learning is a kind of machine learning. Partially Observable Markov Decision Process (POMDP) is a representative class of non-Markovian environments in reinforcemnet learning. We know the Rational Policy Making algorithm (RPM) to learn a deterministic rational policy in POMDPs. Though RPM can learn a policy very quickly, it needs numerous trials to improve the policy. Furthermore ...

Variable precision reduction (VPR) and positive region (PRR) are common definitions in attribute reduction. The compacted decision table is an extension of a table. In this paper, we propose another extension, called the weighted both types tables, VPR defined, corresponding discernibility matrices for PRR proposed. Then, algorithms obtaining from presented. relationship between established by ...

In this paper, some elementary operations on triangular fuzzynumbers (TFNs) are defined. We also define some operations on triangularfuzzy matrices (TFMs) such as trace and triangular fuzzy determinant(TFD). Using elementary operations, some important properties of TFMs arepresented. The concept of adjoints on TFM is discussed and some of theirproperties are. Some special types of TFMs (e.g. pu...

A structured method is called quality function deployment (QFD) that translates the voice of the customer into both of the product and service development. The architecture of QFD is composed of a set of matrices that is often referred to as the house of quality (HOQ). HOQ is regarded as a part of the QFD process. The matrices of HOQ include the importance of customer requirements and the relat...

of master's thesis Abstract: Methods of multi-criteria decision analysis (MCDA) provide normative support for decision making processes. Out of these methods, Robust Portfolio Modeling (RPM) helps decision makers (DMs) to select the best possible subset or portfolio of available projects in the presence of scarce resources. The RPM methods provide a computationally efficient way of generating n...

DEAHP as a weight derivation procedure for analytic hierarchy process (AHP) has been found suffering from some significant drawbacks. Recently, Mirhedayatian and Saen (2011) [5] proposed a new procedure entitled Revised DEAHP for AHP weight derivation [S.M. Mirhedayatian, R.F. Saen, A new approach for weight derivation using data envelopment analysis in the analytic hierarchy process, Journal o...

Let H0 be an arbitrary self-adjoint n × n matrix and H(n) be an n × n (random) Wigner matrix. We show that t 7→ Tr exp(H(n)−itH0) is positive definite in the average. This partially answers a long-standing conjecture. On the basis of asymptotic freeness our result implies that t 7→ τ(exp(a − itb)) is positive definite whenever the noncommutative random variables a and b are in free relation, wi...

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