scholarly journals Assessing landscape plans with abbreviated pair-wise comparisons in the AHP (Analitic Hierarchy Process)

2019 ◽  
pp. 183-194
Author(s):  
Milena Lakicevic ◽  
Keith Reynolds ◽  
Bojan Srdjevic
Keyword(s):  
Graphical Representation ◽  
Decision Makers ◽  
Pairwise Comparisons ◽  
Analytic Hierarchy ◽  
Advantages And Disadvantages ◽  
Management Plans ◽  
Elicitation Process ◽  
Elicitation Procedure ◽  
Hierarchy Process

This paper demonstrates the application of the Analytic Hierarchy Pro?cess (AHP) in assessing landscape plans using the option of abbreviated pair-wise comparisons to simplify the weight elicitation process for decision makers. Whereas the standard AHP elicitation procedure requires a full set of pairwise comparisons among all criteria at each node of the decision hierarchy in order to derive criterion weights for the decision model, the abbreviated pairwise method uses a minimal spanning set of pairwise comparisons, and remaining comparisons are then derived by transitivity rules. In this paper is presented the abbreviated pairwise method with a case study in which alternative management plans are evaluated for the Zvezdarska forest of Belgrade, Serbia. The analysis was performed with the Criterium DecisionPlus software, which fully implements the AHP methodology, and provides useful diagnostics on AHP decision models. As a conclusion, some of the key advantages and disadvantages of the abbreviated pairwise variant of the AHP method are demonstrated. One of the key qualities of the Criterium DecisionPlus software is a clear and easy graphical representation of the results.

scholarly journals A decision support method for evaluating database designs

2012 ◽  
Vol 9 (1) ◽  
pp. 81-106 ◽  
Author(s):  
Erki Eessaar ◽  
Marek Soobik
Keyword(s):  
Decision Support ◽  
Data Model ◽  
Processing System ◽  
Transaction Processing ◽  
Database Management System ◽  
Pairwise Comparisons ◽  
Analytic Hierarchy ◽  
Hierarchy Process ◽  
Decision Support Method

It is possible to produce different database designs based on the same set of requirements to a database. In this paper, we present a decision support method for comparing different database designs and for selecting one of them as the best design. Each data model is an abstract language that can be used to create many different databases. The proposed method is flexible in the sense that it can be used in case of different data models, criteria, and designs. The method is based on the Analytic Hierarchy Process and uses pairwise comparisons. We also present a case study about comparing four designs of SQL databases in case of PostgreSQL? database management system. The results depend on the context where the designs will be used. Hence, we evaluate the designs in case of two different contexts - management of measurements data and an online transaction processing system.

FARSJUM, A FUZZY SYSTEM FOR RANKING SPARSE JUDGMENT MATRICES: A CASE STUDY IN SOCCER TOURNAMENTS

2007 ◽  
Vol 15 (01) ◽  
pp. 115-129 ◽  
Author(s):  
M. R. GHOLAMIAN ◽  
S. M. T. FATEMI GHOMI ◽  
M. GHAZANFARI
Keyword(s):  
Pairwise Comparison ◽  
Major Constituent ◽  
Pairwise Comparisons ◽  
Ahp Method ◽  
World Cup ◽  
Analytic Hierarchy ◽  
Rank Reversal ◽  
Judgment Matrix ◽  
Hierarchy Process

The establishment of the priorities from pairwise comparison matrices is the major constituent of the Analytic Hierarchy Process (AHP). However, the number of pairwise comparisons necessary in real problems often becomes overwhelming. In such cases, generally the experts are not able to answer all questions and consequently sparse judgment matrix is generated which caused "equal ranks" and "rank reversal" based on AHP method. In this paper, a new ranking system (FARSJUM) is developed for such sparse judgment matrix. The system is constructed on fuzzy rules and fuzzy reasoning methods. The numerical example of world cup soccer tournament is brought to clarify the performance of the developed system comparing with AHP method in ranking the sparse judgment matrices.

scholarly journals A Model for Determining Weight Coefficients by Forming a Non-Decreasing Series at Criteria Significance Levels (NDSL)

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 745
Author(s):  
Mališa Žižović ◽  
Dragan Pamučar ◽  
Goran Ćirović ◽  
Miodrag M. Žižović ◽  
Boža D. Miljković
Keyword(s):  
Decision Makers ◽  
Pairwise Comparisons ◽  
Small Range ◽  
Analytic Hierarchy ◽  
Original Algorithm ◽  
Real World Problem ◽  
Significance Levels ◽  
Hierarchy Process ◽  
Weight Coefficients ◽  
Best Worst Method

In this paper, a new method for determining weight coefficients by forming a non-decreasing series at criteria significance levels (the NDSL method) is presented. The NDLS method includes the identification of the best criterion (i.e., the most significant and most influential criterion) and the ranking of criteria in a decreasing series from the most significant to the least significant criterion. Criteria are then grouped as per the levels of significance within the framework of which experts express their preferences in compliance with the significance of such criteria. By employing this procedure, fully consistent results are obtained. In this paper, the advantages of the NDSL model are singled out through a comparison with the Best Worst Method (BWM) and Analytic Hierarchy Process (AHP) models. The advantages include the following: (1) the NDSL model requires a significantly smaller number of pairwise comparisons of criteria, only involving an n − 1 comparison, whereas the AHP requires an n(n − 1)/2 comparison and the BWM a 2n − 3 comparison; (2) it enables us to obtain reliable (consistent) results, even in the case of a larger number of criteria (more than nine criteria); (3) the NDSL model applies an original algorithm for grouping criteria according to the levels of significance, through which the deficiencies of the 9-degree scale applied in the BWM and AHP models are eliminated. By doing so, the small range and inconsistency of the 9-degree scale are eliminated; (4) while the BWM includes the defining of one unique best/worst criterion, the NDSL model eliminates this limitation and gives decision-makers the freedom to express the relationships between criteria in accordance with their preferences. In order to demonstrate the performance of the developed model, it was tested on a real-world problem and the results were validated through a comparison with the BWM and AHP models.

scholarly journals Ranking Alternatives by Pairwise Comparisons Matrix and Priority Vector

2017 ◽  
Vol 64 (s1) ◽  
pp. 85-95 ◽  
Author(s):  
Jaroslav Ramík
Keyword(s):  
Decision Making ◽  
Essential Elements ◽  
Real Interval ◽  
Pairwise Comparisons ◽  
Analytic Hierarchy ◽  
Priority Vector ◽  
Advantages And Disadvantages ◽  
Decision Making Problem ◽  
Ranking Of Alternatives ◽  
Hierarchy Process

Abstract The decision making problem considered here is to rank n alternatives from the best to the worst, using information given by the decision maker(s) in the form of an n×n pairwise comparisons (PC) matrix. We investigate pairwise comparisons matrices with elements from a real interval which is a traditional multiplicative approach used in Analytic hierarchy process (AHP). Here, we deal with two essential elements of AHP: measuring consistency of PC matrix and the method of eliciting the priority vector by which the final ranking of alternatives is derived. Classical approaches introduced by T. Saaty in AHP are compared with later approaches based on the AHP criticism published in the literature. Advantages and disadvantages of both approaches are highlighted and discussed.

scholarly journals GROUNDWATER POTENTIAL ASSESSMENT USING GEOGRAPHIC INFORMATION SYSTEMS AND AHP METHOD (CASE STUDY: BAFT CITY, KERMAN, IRAN)

2015 ◽  
Vol XL-1-W5 ◽  
pp. 769-774 ◽  
Author(s):  
M. Zeinolabedini ◽  
A. Esmaeily
Keyword(s):  
Information Systems ◽  
Ground Water ◽  
Geographical Information Systems ◽  
Groundwater Potential ◽  
Geographical Information ◽  
Ahp Method ◽  
Analytic Hierarchy ◽  
Management Plans ◽  
Hierarchy Process

The purpose of the present study is to use Geographical Information Systems (GISs) for determining the best areas having ground water potential in Baft city. To achieve this objective, parameters such as precipitation, slope, fault, vegetation, land cover and lithology were used. Regarding different weight of these parameters effect, Analytic Hierarchy Process (AHP) was used. After developing informational layers in GIS and weighing each of them, a model was developed. The final map of ground waters potential was calculated through the above-mentioned model. Through applying our developed model four areas having high, average, low potential and without required potential distinguished. Results of this research indicated that 0.74, 41.23 and 45.63 percent of the area had high, average and low potential, respectively. Moreover, 12.38% of this area had no potential. Obtained results can be useful in management plans of ground water resources and preventing excessive exploitation.

scholarly journals THE MAGIC OF THE ANALYTIC HIERARCHY PROCESS (AHP)

2017 ◽  
Vol 9 (3) ◽  
Author(s):  
Orrin Cooper
Keyword(s):  
Analytic Hierarchy Process ◽  
Decision Makers ◽  
Pairwise Comparisons ◽  
Ordinary People ◽  
Analytic Hierarchy ◽  
Scientific Justification ◽  
History Of ◽  
The Analytic Hierarchy Process ◽  
Hierarchy Process ◽  
Careful Investigation

Dr. Thomas Saaty developed the Analytic Hierarchy Process (AHP) with the underlying goal of making it simple and accessible to the lay user. In Saaty’s own words, the AHP is based on how “ordinary people process information” and “express the strength of their judgments” (Saaty, 1994, p. 37). Because he was successful in developing the AHP in accordance with these goals, when decision makers use the AHP their experience can feel magical as they find pairwise comparisons natural and can relate to the final priorities. Careful investigation of the axioms, theorems, and proofs shows that the AHP is more than just magic and provides scientific justification of the highest order. Five important components of the AHP and some background into the history of its development are summarized and highlighted from Saaty’s article, “How to Make a Decision: the Analytic Hierarchy Process” (Saaty, 1994). https://doi.org/10.13033/ijahp.v9i3.519

scholarly journals Combining AHP and ROC with GIS for Airport Site Selection: A Case Study in Libya

2020 ◽  
Vol 9 (5) ◽  
pp. 312
Author(s):  
Turan Erman Erkan ◽  
Wael Mohamed Elsharida
Keyword(s):  
Social Economic ◽  
Rank Order ◽  
Decision Makers ◽  
Analytic Hierarchy ◽  
Suitability Index ◽  
The Social ◽  
Hierarchy Process ◽  
Airport Site ◽  
Do So

Choosing airport locations requires thorough and comprehensive decisions to be made. To do so in a professional and logical manner is crucial for the social, economic, and logistic settings intended for any region. The present research takes place in Libya, where airports are just as vital for the economy in terms of tourism and investment by allowing for improved transportation throughout the developing market and supplier locations as well as trading between the industrial and financial sectors. For this reason, using the geographic information system (GIS) to determine the appropriate airport site, twenty-three criteria were considered. In addition, two different methods—analytic hierarchy process (AHP) and rank order centroid (ROC)—were utilized to derive the related weights. The comparison of the output maps from these two distinctive approaches shows that both approaches provide identical results. Finally, a sensitivity analysis was carried out to evaluate the reliability of the method used and select the best site among the proposed ones based on the result of the highest suitability index for each candidate site. This research provides a siting approach and substantial support for decision-makers in the issue of airport locations selection in Libya and other developing countries.

scholarly journals AN INTEGRATED FUZZY AHP/DEA APPROACH FOR PERFORMANCE EVALUATION OF TERRITORIAL UNITS IN TURKEY

2018 ◽  
Vol 24 (4) ◽  
pp. 1280-1302 ◽  
Author(s):  
Ahmet Çalik ◽  
Nimet Yapici Pehlivan ◽  
Cengiz Kahraman
Keyword(s):  
Social Life ◽  
Fuzzy Ahp ◽  
Decision Makers ◽  
Data Envelopment ◽  
Analytic Hierarchy ◽  
Second Stage ◽  
Dea Method ◽  
Two Stages ◽  
Hierarchy Process

Due to the differences between regions and sub-regions in the countries, some problems come out especially in economic and social life. The issue of differences of regions has been widely implemented to evaluate the economic performance of Turkey in many disciplines. The objective of this paper is to evaluate the efficiency of 26 sub-regions of NUTS-2 classification using integration Fuzzy Analytic Hierarchy Process (FAHP) with Data Envelopment Analysis (DEA). The integrated FAHP/DEA method comprises two stages. In the first stage, linguistic terms are used to determine the decision makers’ opinion and are converted to quantitative forms by using FAHP methods. Subsequently, in the second stage, DEA method is applied to obtain relative efficiency of sub-regions in Turkey. The integrated FAHP/DEA method is illustrated with a real case study.

An Evaluation Method for Inconsistency of the AHP Judgment Matrix

2002 ◽  
Author(s):  
Yuan Mao Huang ◽  
Hsin-Ni Ho
Keyword(s):  
Decision Making ◽  
Evaluation Method ◽  
Decision Makers ◽  
Pairwise Comparisons ◽  
Analytic Hierarchy ◽  
Principal Eigenvector ◽  
The Matrix ◽  
Judgment Matrix ◽  
Index Value ◽  
Hierarchy Process

Applications of the analytic hierarchy process have been widespread in the field of decision-making for decades. In this process, decision-makers perform pairwise comparisons to form a judgment matrix, and its principal eigenvector is used to represent the priorities. Thus it is important to evaluate the degree of inconsistency in a judgment matrix to ensure the principal eigenvector reflects the true priorities among the alternatives. This study proposes the I3 circuit method, which is based on the graph theory, with a critical inconsistent index value of 3.75 to judge and evaluate consistency or the degree of inconsistency for judgment matrices. In addition, it can also spot the matrix entries that create the most inconsistency. With these advantages of the proposed method, decision-makers can easily evaluate the pairwise comparisons of a matrix and revise some entries of the matrix toward consistency if needed.

The Analytic Hierarchy Process

2011 ◽  
pp. 29-37
Author(s):  
John Wang ◽  
Chandana Chakraborty ◽  
Huanyu Ouyang
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Decision Maker ◽  
Decision Makers ◽  
Decision Models ◽  
Mental Process ◽  
Analytic Hierarchy ◽  
Advantages And Disadvantages ◽  
Hierarchy Process ◽  
Made In

The challenges of evaluation and decision making are encountered in every sphere of life and on a regular basis. The nature of the required decisions, however, may vary between themselves. While some decisions may reflect individual solutions on simple problems, others may indicate collaborative solutions on complex issues. Regardless of their distinctive nature, all decisions are outcomes of a mental process. The process involves careful evaluation of merits of all the available options leading ultimately to the choice of a single solution. Numerous efforts have been made in the literature to develop decision models ideal for choosing the best solution for a given problem. The dilemma in using these decision models, however, can hardly be avoided. With differences in underlying methodology, each model serves a specific decision-making need of the decision maker. In the absence of a universal framework suitable for handling a variety of problems, decision makers are often required to identify the model best suited for their particular need. Furthermore, they need to take account of the advantages and disadvantages associated with the chosen model.

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