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The Analytic Hierarchy Process (AHP) is a procedure for establishing priorities in multi-criteria decision making problems. Here we discuss the Logarithmic Least Squares (LLS) method for the AHP and group-AHP, which provides an exact and…

Methodology · Statistics 2014-02-11 M. Andrecut

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

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

Multi-criteria decision support systems are used in various fields of human activities. In every alternative multi-criteria decision making problem can be represented by a set of properties or constraints. The properties can be qualitative…

Software Engineering · Computer Science 2011-05-03 Tuli Bakshi , Bijan Sarkar

We apply methods and techniques of tropical optimization to develop a new theoretical and computational framework for the implementation of the Analytic Hierarchy Process in multi-criteria problems of rating alternatives from pairwise…

Optimization and Control · Mathematics 2022-07-11 Nikolai Krivulin , Sergei Sergeev

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

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

We apply methods and techniques of tropical optimization to develop a new theoretical and computational framework for the implementation of the Analytic Hierarchy Process in multi-criteria problems of rating alternatives from pairwise…

Optimization and Control · Mathematics 2018-02-01 N. Krivulin , S. Sergeev

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

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

We introduce a method for explaining the results of various linear and hierarchical multi-criteria decision-making (MCDM) techniques such as WSM and AHP. The two key ideas are (A) to maintain a fine-grained representation of the values…

Artificial Intelligence · Computer Science 2022-09-13 Martin Erwig , Prashant Kumar

Abstraction is essential for reducing the complexity of systems across diverse fields, yet designing effective abstraction methodology for probabilistic models is inherently challenging due to stochastic behaviors and uncertainties. Current…

Artificial Intelligence · Computer Science 2025-03-03 Nijesh Upreti , Vaishak Belle

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

Numerous techniques of multi-criteria decision-making (MCDM) have been proposed in a variety of business domains. One of the well-known methods is the Analytical Hierarchical Process (AHP). Various uncertain numbers are commonly used to…

Artificial Intelligence · Computer Science 2024-09-17 Mohamed Abdel Hameed El-Hawy

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

Real-world decision and optimization problems, often involve constraints and conflicting criteria. For example, choosing a travel method must balance speed, cost, environmental footprint, and convenience. Similarly, designing an industrial…

Optimization and Control · Mathematics 2025-04-22 Michael Emmerich , André Deutz

We propose a development of the Analytic Hierarchy Process (AHP) permitting to use the methodology also in cases of decision problems with a very large number of alternatives evaluated with respect to several criteria. While the application…

Artificial Intelligence · Computer Science 2017-04-27 Francesca Abastante , Salvatore Corrente , Salvatore Greco , Alessio Ishizaka , Isabella Lami

Hyperparameter optimization (HPO) is increasingly used to automatically tune the predictive performance (e.g., accuracy) of machine learning models. However, in a plethora of real-world applications, accuracy is only one of the multiple --…

Machine Learning · Statistics 2021-06-25 Robin Schmucker , Michele Donini , Muhammad Bilal Zafar , David Salinas , Cédric Archambeau

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

We present a new method for searching optimal hyperparameters among several tasks and several criteria. Multi-Task Multi Criteria method (MTMC) provides several Pareto-optimal solutions, among which one solution is selected with given…

Machine Learning · Computer Science 2020-02-18 Kirill Akhmetzyanov , Alexander Yuzhakov
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