scholarly journals Matrix of pairwise comparison: decision making with the analytic network process

2019 ◽  
Vol 110 ◽  
pp. 02042
Author(s):  
Aliya Akhmadullina ◽  
Svetlana Vasilyeva ◽  
Tatyana Yakovleva ◽  
Svetlana Vopiyashina ◽  
Raisa Kraineva
Keyword(s):  
Decision Making ◽  
Environmental Planning ◽  
Pairwise Comparison ◽  
Multicriteria Decision Making ◽  
Analytic Network Process ◽  
Analytic Hierarchy ◽  
Pairwise Comparison Matrix ◽  
Network Process ◽  
Qualitative Factors ◽  
The Right

This article describes a method for analyzing hierarchies; identifies the problems with inconsistent judgments. The proof is given that the most effective tool allowing one to make the right decisions with inconsistencies is the introduction of the eigenvector on environmental planning and management. The Analytic Hierarchy Process (AHP) is a method for decision making, which includes qualitative factors. In this method, ratio scales are obtained from ordinal scales, which are derived from individual judgments for qualitative factors using the pairwise comparison matrix. This paper describes the applicability of a multicriteria decision-making method, specifically, the analytic network process.

On Some Advancements within Certain Multicriteria Decision Making Support Methodology

2013 ◽  
Vol 2 (2) ◽  
pp. 143 ◽  
Author(s):  
Pawel Tadeusz Kazibudzki ◽  
Andrzej Z Grzybowski
Keyword(s):  
Decision Making ◽  
Pairwise Comparison ◽  
Multicriteria Decision Making ◽  
Scientific Paper ◽  
Analytic Hierarchy ◽  
Management Activity ◽  
Multicriteria Decision ◽  
Managerial Decisions ◽  
The Right ◽  
Decision Making Support

Deriving true priority vectors from intuitive pairwise comparison matrices (PCMs) and consistency measurement of decision makers judgments about their genuine weights are crucial issues within the multicriteria decision making support methodology called Analytic Hierarchy Process (AHP). The most popular procedure in the ranking process, constitutes the Right Eigenvector Method (REV). The inventor of the AHP convinces that as long as inconsistent PCMs are allowed in the AHP none of the other existing procedures qualify and the REV provides the only right solution in this process. The objective of this scientific paper is to examine if the former opinion can be considered as experimentally confirmed. For this purpose it was decided to apply Monte Carlo methodology. However, rather than simulate and analyze simulations results for a single PCM, as it has been done so far by many other authors, we decided to design and analyze computer simulations results for a singular model of the AHP framework. Our findings lead to inevitable conclusion that the REV cannot longer be perceived as a dominant procedure within the AHP methodology, especially when nonreciprocal PCMs are considered. It was verified empirically in our research that in the situation when nonreciprocal PCMs are considered the REV impoverishes the entire AHP methodology by its lack of PCMs inconsistency measure in such cases. Moreover, it provides less accurate rankings for a particular decision in comparison to other presented methods. It was also unequivocally verified that the enforced reciprocity of PCM leads directly to worse estimates of priorities weights. Altogether, it seems very important from the perspective of methodology supporting multicriteria decision making, the crucial process embedded in most of management activity. In the consequence, because the REV recedes other prioritization procedures available for the AHP methodology, it is advised to consider them instead, especially under some circumstances of an important and very tight managerial decisions.

scholarly journals Using the Analytical Network Process to Select the Best Strategy for Reducing Risks in a Supply Chain

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
L. Hosseini ◽  
R. Tavakkoli-Moghaddam ◽  
B. Vahdani ◽  
S. M. Mousavi ◽  
R. Kia
Keyword(s):  
Supply Chain ◽  
Multicriteria Decision Making ◽  
Analytic Network Process ◽  
Supply Chain Network ◽  
Total Quality ◽  
Analytic Hierarchy ◽  
Network Process ◽  
Supply Chain Risks ◽  
Hierarchy Process ◽  
Different Levels

This paper considers four types of the most prominent risks in the supply chain. Their subcriteria and relations between them and within the network are also considered. In a supply chain, risks are mostly created by fluctuations. The aim of this study is to adopt a strategy for eliminating or reducing risks in a supply chain network. Having various solutions helps the supply chain to be resilient. Therefore, five alternatives are considered, namely, total quality management (TQM), leanness, alignment, adaptability, and agility. This paper develops a new network of supply chain risks by considering the interactions between risks. Perhaps, the network elements have interacted with some or all of the factors (clusters) or subfactors. We constitute supply chain risks in the analytic network process (ANP), which attracted less attention in the previous studies. Most of the studies about making a decision in supply chains have been applied in analytic hierarchy process (AHP) network. The present study considers the ANP as a well-known multicriteria decision making (MCDM) technique to choose the best alternative, because of the interdependency and feedbacks of different levels of the network. Finally, the ANP selects TQM as the best alternative among the considered ones.

scholarly journals Integration of AHP and GTMA to Make a Reliable Decision in Complex Decision-Making Problems: Application of the Logistics Provider Selection Problem as a Case Study

Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 766
Author(s):  
Danijela Tuljak-Suban ◽  
Patricija Bajec
Keyword(s):  
Decision Making ◽  
Analytic Network Process ◽  
Third Party ◽  
Selection Problem ◽  
New Method ◽  
Analytic Hierarchy ◽  
Decision Making Problem ◽  
Network Process ◽  
Complex Decision Making ◽  
Complex Decision

When solving a Multi-Criteria Decision-Making problem of any degree of complexity, many researchers rely on the analytic hierarchy process (AHP). To consider mutual connections between criteria and clusters at the same level and not only the hierarchical structure between criteria and subcriteria, researchers often upgrade from AHP to the Analytic Network Process (ANP), which also examines the interdependency of criteria. However, the ANP method requires a large number of pairwise comparisons. In the case of a complex decision-making problem, the authors of this paper suggest upgrading the AHP method with the graph theory and matrix approach (GTMA) for several reasons: (1) The new method is based on digraphs and permanent value computation, which does not require a hypothesis about interdependency; (2) in case of similar alternatives, the distinguishable coefficient of the new method is higher than those computed for AHP and ANP; (3) the new method allows decision makers to rank comparable alternatives and to combine structurally similar methods without increasing the number of comparisons and the understanding of the results. The developed method (AH-GTMA) is validated by a numerical example of a complex decision-making problem based on a symmetrical set of similar alternatives, a third party logistic provider (3PLP) selection problem.

scholarly journals Application of the AHP-BWM Model for Evaluating Driver Behavior Factors Related to Road Safety: A Case Study for Budapest

Symmetry ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 243 ◽  
Author(s):  
Sarbast Moslem ◽  
Danish Farooq ◽  
Omid Ghorbanzadeh ◽  
Thomas Blaschke
Keyword(s):  
Decision Making ◽  
Road Safety ◽  
Driver Behavior ◽  
Pairwise Comparison ◽  
Scientific Data ◽  
Analytic Hierarchy ◽  
Pairwise Comparison Matrix ◽  
Proposed Model ◽  
Decision Making Problem ◽  
Complex Decision Making

The use of driver behavior has been considered a complex way to solve road safety complications. Car drivers are usually involved in various risky driving factors which lead to accidents where people are fatally or seriously injured. The present study aims to dissect and rank the significant driver behavior factors related to road safety by applying an integrated multi-criteria decision-making (MCDM) model, which is structured as a hierarchy with at least one 5 × 5 (or bigger) pairwise comparison matrix (PCM). A real-world, complex decision-making problem was selected to evaluate the possible application of the proposed model (driver behavior preferences related to road safety problems). The application of the analytic hierarchy process (AHP) alone, by precluding layman participants, might cause a loss of reliable information in the case of the decision-making systems with big PCMs. Evading this tricky issue, we used the Best Worst Method (BWM) to make the layman’s evaluator task easier and timesaving. Therefore, the AHP-BWM model was found to be a suitable integration to evaluate risky driver behavior factors within a designed three-level hierarchical structure. The model results found the most significant driver behavior factors that influence road safety for each level, based on evaluator responses on the driver behavior questionnaire (DBQ). Moreover, the output vector of weights in the integrated model is more consistent, with results for 5 × 5 PCMs or bigger. The proposed AHP-BWM model can be used for PCMs with scientific data organized by traditional means.

scholarly journals Attributes-Based Decision Making for Selection of Requirement Elicitation Techniques Using the Analytic Network Process

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Jinyu Li ◽  
Asif Ullah ◽  
Jun Li ◽  
Shah Nazir ◽  
Habib Ullah Khan ◽  
...  
Keyword(s):  
Decision Making ◽  
Selection Process ◽  
Multicriteria Decision Making ◽  
Requirement Engineering ◽  
Analytic Network Process ◽  
Software Project ◽  
Requirement Elicitation ◽  
Network Process ◽  
Decision Making Processes ◽  
Selection Of

Requirement engineering is the first phase of software engineering. In requirement engineering, the first phase is requirement elicitation (RE), which is the most critical and error-prone activity. In this phase, the requirements are extracted from various sources; after extraction, they are analyzed and documented for a specific purpose of software development. In RE, process requirements from stakeholders are gathered, upon which the entire software product failure and success are dependent. In order to accomplish the goal of requirement elicitation, various techniques are used. However, the selection of these techniques is a very challenging task, as one technique may suit a situation but may not be suited for other situations. Besides this, project attributes such as documentation culture of organization, degree of relationship among stakeholders, and familiarity to domain also have a great impact on the process of technique selection. The reason is that there is no empirical value of the techniques that provide help in techniques selection to analyze the basis software project attributes. This study proposed the analytic network process, which is one of the multicriteria decision making processes for the elicitation technique selection process with respect to criterion attributes of project. The motivation toward the use of the ANP approach for the selection of requirement selection technique is that there are dependencies existing among attributes of the project elements. So, the ANP approach is capable of dealing with such situations where dependencies and complexity occur. Results of the proposed study demonstrate that the technique helps in complex situations where decision making is difficult based on the alternatives.

The Analytic Network Process – Dependence and Feedback in Decision-Making

2011 ◽  
pp. 360-387 ◽  
Author(s):  
Thomas L. Saaty
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Market Share ◽  
Analytic Network Process ◽  
Analytic Hierarchy ◽  
Fundamental Scale ◽  
Network Process ◽  
Independence Assumptions ◽  
Hierarchy Process ◽  
Pair Wise Comparison

Simple multi-criteria decisions are made by deriving priorities of importance for the criteria in terms of a goal and of the alternatives in terms of the criteria. Often one also considers benefits, opportunities, costs and risks and their synthesis in an overall outcome. The Analytic Hierarchy Process (AHP) with its independence assumptions, and its generalization to dependence among and within the clusters of a decision — the Analytic Network Process (ANP), are theories of prioritization and decision-making. Here we show how to derive priorities from pair-wise comparison judgments, give the fundamental scale for representing the judgments numerically and by way of validation illustrate its use with examples and then apply it to make a simple hierarchic decision in two ways: pair-wise comparisons of the alternatives and rating the alternatives with respect to an ideal. Network decisions are discussed and illustrated with market share examples. A mathematical appendix is also included.

Application of Mixed Multicriteria Decision-making Methods to Determine the Optimal Development Industries for the Taoyuan Aerotropolis, Taiwan

2019 ◽  
Vol 43 (4) ◽  
pp. 370-396
Author(s):  
Chih-Yuan Chang ◽  
Yin-Hao Chiu ◽  
Jung-Wei Wang
Keyword(s):  
Decision Making ◽  
Industrial Development ◽  
Multicriteria Decision Making ◽  
Analytic Network Process ◽  
Aviation Industry ◽  
Multicriteria Decision ◽  
Fuzzy Delphi ◽  
Network Process ◽  
The Government ◽  
Satisfaction Evaluation

The study explored both the development policy of regional industry and the aerotropolis as an empirical object. In planning an aerotropolis, governments should account for both regional and industrial characteristics to establish appropriate policies for promoting industrial development that maximizes the benefits of invested resources. In this study, a composite multicriteria decision-making method was used to filter the optimal aerotropolis industry evaluation index through the fuzzy Delphi method. Subsequently, the decision-making trial and evaluation laboratory–based analytic network process was used to obtain the influence relations and weights between the indexes to establish an optimal industry plan. Satisfaction evaluation was then used to calculate the performance values of the programs and discover the optimal industries for the city to provide the government with a policy reference. This study found that the technical environment, product and industry networks, and basic environment were the most important aspects of the Taoyuan Aerotropolis. Aviation linkage and logistics services had the highest performance among industries, identifying them as the most suitable supplementary developments to the aviation industry.

scholarly journals Differences in prioritization of the BSC’s strategic goals using AHP and ANP methods

2018 ◽  
Vol 42 (2) ◽  
pp. 193-217 ◽  
Author(s):  
Aleksander Janeš ◽  
Nina Begičević Ređep
Keyword(s):  
Decision Making ◽  
Balanced Scorecard ◽  
Analytic Network Process ◽  
Analytic Hierarchy ◽  
The Balanced Scorecard ◽  
Network Process ◽  
Strategic Goals ◽  
Key Issues ◽  
Hierarchy Process

The development and empirical verification of the balanced scorecard (BSC) model, using the multi-criteria decision-making methods (MCDM) called the analytic hierarchy process (AHP) and the analytic network process (ANP), are the key issues of the presented research. The paper presents the methodology of the prioritization of the BSC goals with the AHP and ANP methods. Even though the prioritization of the goals is possible with both, findings from the empirical analysis showed that the ANP is more complementary with the BSC because of the influences among the goals in the BSC. The ANP supports the modelling of those influences (through dependencies) and the AHP does not. The paper discusses special situations in prioritizing the BSC goals (understanding the ANP from the perspective of the user and the BSC with strategic goals that do not directly influence any other strategic goal) and proposes solutions. Therefore, it can be asserted that introducing the ANP to implement the BSC and vice versa, improved the decision-making approach and the quality of the obtained results. The research was based on a case study of modelling the BSC for Ydria Motors LL (YM), a manufacturing company.

scholarly journals An Ordinal Consistency Indicator for Pairwise Comparison Matrix

Symmetry ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 2183
Author(s):  
Ting Kuo
Keyword(s):  
Pairwise Comparison ◽  
Multicriteria Decision Making ◽  
Necessary Condition ◽  
Analytic Hierarchy ◽  
Pairwise Comparison Matrix ◽  
Consistency Test ◽  
Practical Applications ◽  
Ordinal Consistency ◽  
Hierarchy Process ◽  
Surprising Fact

The pairwise comparison (PC) matrix is often used to manifest human judgments, and it has been successfully applied in the analytic hierarchy process (AHP). As a PC matrix is formed by making paired reciprocal comparisons, symmetry is a striking characteristic of a PC matrix. It is this simple but powerful means of resolving multicriteria decision-making problems that is the basis of AHP; however, in practical applications, human judgments may be inconsistent. Although Saaty’s rule for the consistency test is commonly accepted, there is evidence that those so-called “acceptable” PC matrices may not be ordinally consistent, which is a necessary condition for a PC matrix to be accepted. We propose an ordinal consistency indicator called SDR (standard deviation of ranks), derive the upper bound of the SDR, suggest a threshold for a decision-maker to assess whether the ordinal consistency of a PC matrix is acceptable, and reveal a surprising fact that the degree of ordinal inconsistency of a small PC matrix may be more serious than a large one. We made a comparative analysis with some other indicators. Experimental results showed that the ordinal inconsistency measured by the SDR is invariant under heterogeneous judgment measurements with a varied spectrum of scales, and that the SDR is superior to the two compared indicators. Note that the SDR not only works for a multiplicative PC matrix but can also be used for additive and fuzzy PC matrices.

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