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We examine the notion of inconsistency in pairwise comparisons and propose an axiomatization which is independent of any method of approximation or the inconsistency indicator definition (e.g., Analytic Hierarchy Process, AHP). It has been…

Discrete Mathematics · Computer Science 2015-01-27 W. W. Koczkodaj , R. Szwarc

The paper deals with a step-wise analytic hierarchy process (AHP) applied by a group of decision makers wherein nobody has a dominant position and it is unlikely to come to terms with respect to either the weights of different objectives or…

Multiagent Systems · Computer Science 2016-05-10 Marian Dragoi , Ciprian Palaghianu

This paper reports a modified axiomatic foundation of the analytic hierarchy process (AHP), where the reciprocal property of paired comparisons is broken. The novel concept of reciprocal symmetry breaking is proposed to characterize the…

Information Theory · Computer Science 2021-08-05 Fang Liu , Wei-Guo Zhang

In this paper we describe market in projective geometry language and give definition of a matrix of market rate, which is related to the matrix rate of return and the matrix of judgements in the Analytic Hierarchy Process (AHP). We use…

Portfolio Management · Quantitative Finance 2009-11-13 Anna Szczypinska , Edward W. Piotrowski

An overview of current debates and contemporary research devoted to the modeling of decision making processes and their facilitation directs attention to the Analytic Hierarchy Process (AHP). At the core of the AHP are various…

Artificial Intelligence · Computer Science 2020-06-05 Paul Thaddeus Kazibudzki

Analyzing the consistency of preferences is an important step in decision making with pairwise comparison matrices, and several indices have been proposed in order to estimate it. In this paper we prove the proportionality between some…

Methodology · Statistics 2012-03-30 Matteo Brunelli , Andrew Critch , Michele Fedrizzi

One of the most widespread multi-criteria decision-making methods is the Analytic Hierarchy Process (AHP). AHP successfully combines the pairwise comparisons method and the hierarchical approach. It allows the decision-maker to set…

Artificial Intelligence · Computer Science 2022-05-24 Anna Kędzior , Konrad Kułakowski

Changes in technology have resulted in new ways for bankers to deliver their services to costumers. Electronic banking systems in various forms are the evidence of such advancement. However, information security threats also evolving along…

Computers and Society · Computer Science 2010-07-05 Irfan Syamsuddin , Junseok Hwang

The AHP/ANP are multicriteria decision-making theories that deal with both hierarchic structures when the criteria are independent of the alternatives and with networks when there is any dependence within and between elements of the…

Discrete Mathematics · Computer Science 2016-06-23 Thomas Saaty , Konrad Kułakowski

Effort Estimation has always been a challenging task for the Project managers. Many researchers have tried to help them by creating different types of models. This has been already proved that none is successful for all types of projects…

Software Engineering · Computer Science 2013-10-22 Sumeet Kaur Sehra , Dr. Yadwinder Singh Brar , Dr. Navdeep Kaur

In decision-making methods, it is common to assume that the experts are honest and professional. However, this is not the case when one or more experts in the group decision making framework, such as the group analytic hierarchy process…

Artificial Intelligence · Computer Science 2023-12-08 Konrad Kułakowski , Jacek Szybowski , Jiri Mazurek , Sebastian Ernst

Mathematical analysis of the analytic hierarchy process (AHP) led to the development of a mathematical function, usually called the inconsistency index, which has the center role in measuring the inconsistency of the judgements in AHP.…

Logic in Computer Science · Computer Science 2024-08-27 Sangeeta Pant , Anuj Kumar , Jiří Mazurek

We introduce a new method to identify phase boundaries in physical systems. It is based on training a predictive model such as a neural network to infer a physical system's parameters from its state. The deviation of the inferred parameters…

Statistical Mechanics · Physics 2019-06-12 Frank Schäfer , Niels Lörch

This paper presents a new parameter estimation algorithm for the adaptive control of a class of time-varying plants. The main feature of this algorithm is a matrix of time-varying learning rates, which enables parameter estimation error…

Optimization and Control · Mathematics 2021-11-18 Joseph E. Gaudio , Anuradha M. Annaswamy , Eugene Lavretsky , Michael A. Bolender

The Analytic Hierarchy Process (AHP) is a much discussed method in ranking business alternatives based on empirical and judgemental information. We focus here upon the key component of deducing efficient vectors for a reciprocal matrix of…

Optimization and Control · Mathematics 2024-04-23 Susana Furtado , Charles Johnson

Recommender systems are able to estimate the user's interest for resource given from some relative information to others similar users and to propriety of the resource. In this Memory, we introduced a new contextual recommendation approach…

Information Retrieval · Computer Science 2018-10-25 Halima Nefzi

To understand and predict the performance of scientific applications, several analytical and machine learning approaches have been proposed, each having its advantages and disadvantages. In this paper, we propose and validate a hybrid…

Performance · Computer Science 2019-02-27 Huda Ibeid , Siping Meng , Oliver Dobon , Luke Olson , William Gropp

A precision matrix is the inverse of a covariance matrix. In this paper, we study the problem of estimating the precision matrix with a known graphical structure under high-dimensional settings. We propose a simple estimator of the…

Statistics Theory · Mathematics 2021-07-15 Thien-Minh Le , Ping-Shou Zhong

Predicting metrics associated with entities' transnational behavior within payment processing networks is essential for system monitoring. Multivariate time series, aggregated from the past transaction history, can provide valuable insights…

Machine Learning · Computer Science 2021-09-23 Chin-Chia Michael Yeh , Zhongfang Zhuang , Junpeng Wang , Yan Zheng , Javid Ebrahimi , Ryan Mercer , Liang Wang , Wei Zhang

In this book we introduce a new procedure called \alpha-Discounting Method for Multi-Criteria Decision Making (\alpha-D MCDM), which is as an alternative and extension of Saaty Analytical Hierarchy Process (AHP). It works for any number of…

Artificial Intelligence · Computer Science 2015-10-05 Florentin Smarandache
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