The Problem of Adequacy of the Analytic Hierarchy Process

2020 ◽  
Vol 10 (4) ◽  
pp. 79-87
Author(s):  
V.M. Romanchuk
Keyword(s):  
Analytic Hierarchy Process ◽  
Pairwise Comparison ◽  
Measurement Procedure ◽  
Ahp Method ◽  
Calculation Algorithm ◽  
Analytic Hierarchy ◽  
Rating Method ◽  
Simple Measurement ◽  
The Analytic Hierarchy Process ◽  
Hierarchy Process

The Analytic hierarchy process (AHP) is a popular method for solving multi-criteria problems. However, the problem of the adequacy of the AHP method is not solved. Opponents of the Analytic hierarchy process believe that the AHP as a whole is erroneous and cannot be applied in practice. Proponents of the method believe that the disadvantages of the method are compensated by a simple measurement procedure. In this paper, a modification of the AHP method is proposed. A mathematical model of measurement is formulated, which contains a built-in mechanism for checking adequacy. moreover, the measurement method is preserved, and the calculation algorithm becomes even simpler. The fact is that the Analytic hierarchy process is based on the assumption that the scale of relations can be obtained by pairwise comparison using numerical judgments based on the absolute scale of numbers. Fechner’s psychophysical law is considered as a justification for the existence of the scale of relations. But there are not one, but two psychophysical laws. The existence of two psychophysical laws is a problem of psychophysics. This problem can be solved by the rating method. To overcome the disadvantages of the Analytic hierarchy process, it is also proposed to use the rating method. The use of the rating method makes it possible to use the fundamental scale of the AHP method. As an example, the problem is solved using the traditional AHP scale.

DETERMINING THE DESALINATION UNIT COMPOSITION FOR COSTAL AREAS AND SMALL ISLANDS USE ANALYTIC HIERARCHY PROCESS

2017 ◽  
Vol 9 (1) ◽  
Author(s):  
Imam Setiadi ◽  
Dinda Rita K. Hartaja
Keyword(s):  
Analytic Hierarchy Process ◽  
Energy Demand ◽  
Pairwise Comparison ◽  
Small Islands ◽  
Ahp Method ◽  
Analytic Hierarchy ◽  
Comparison Research ◽  
Hierarchy Process ◽  
Selection Of

Selection of the appropriate composition desalination units can be done with a variety of method approaches, one of the method is the Analytic Hierarchy Process. In determining the desalination unit with AHP method to consider is setting a goal, an alternative criteria and pairwise comparison. Research for the determination of the exact composition of the desalination unit in order to achieve sustainable drinking water suppy in coastal areas and small islands has been conducted. The results of the study are as follows, the energy demand of 50.83%, operator costs of 26.64%, maintenance costs of 14.13% and chemical requirement 8.4%. For an alternative composition desalination unit of RO 10 m3 / day is the best alternative composition with value of 59.61%, the composition of the next alternative is RO 20 m3/ day of 30.40% and the last alternative of the desalination unit composition is RO 120 m3/ day of 09.99%.Key words : Desalination, Mukti Stage Flash Composition, AHP

JUDGMENT NUMBER REDUCTION: AN ISSUE IN THE ANALYTIC HIERARCHY PROCESS

2010 ◽  
Vol 09 (01) ◽  
pp. 175-189 ◽  
Author(s):  
LONG-TING WU ◽  
XIA CUI ◽  
RU-WEI DAI
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Pairwise Comparison ◽  
Random Variable ◽  
Analytic Hierarchy ◽  
Priority Vector ◽  
Judgment Error ◽  
Scale Error ◽  
The Analytic Hierarchy Process ◽  
Hierarchy Process

The Analytic Hierarchy Process (AHP) uses pairwise comparison to evaluate alternatives' advantages to a certain criterion. For decision-making problem with many different criteria and alternatives, pairwise comparison causes a prolonged decision-making period and rises fatigue in decision-makers' mentality. A question of practical value is if there exists a way to reduce judgment number and what influence the reduction will have on the overall evaluation of alternative ratings. To answer this question, we introduce scale error and judgment error into AHP judgment matrix. By expanding the scales defined in the AHP, scale error is eliminated. Taking judgment error as random variable, a new estimator to calculate priority vector is presented. In the end, an example is proved to show lowering judgment number will increase the probability of larger errors appearing in priority vector computation.

scholarly journals A Method of Assigning Weights Using a Ranking and Nonhierarchy Comparison

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Bangweon Song ◽  
Seokjoong Kang
Keyword(s):  
Analytic Hierarchy Process ◽  
Pairwise Comparison ◽  
Analytic Hierarchy ◽  
Single Level ◽  
Consistency Ratio ◽  
Whole Number ◽  
The Analytic Hierarchy Process ◽  
Hierarchy Process

The analytic hierarchy process (AHP) has advantages that the whole number of comparisons can be reduced via a hierarchy structure and the consistency of responses verified via a consistency ratio. However, at the same time, the AHP has disadvantages that values vary according to the form of hierarchy structure and it is difficult to maintain consistency itself among responses. If the number of comparisons can be reduced, a comparison within a single level is optimal, and if comparison can be made while the priority among entities is maintained, consistency may be automatically maintained. Thus, in this study, we propose a method of assigning weights, which applies hierarchy structure of AHP and pairwise comparison but complements the disadvantages of AHP. This method has advantages that the number of comparisons can be reduced and also consistency is automatically maintained via determination of priorities first on multiple entities and subsequent comparisons between entities with adjoined priorities.

Study on the Difficulty Sorting of Experimental Projects Based on the AHP

2011 ◽  
Vol 271-273 ◽  
pp. 363-367
Author(s):  
Lian Hui Liu ◽  
Juan He
Keyword(s):  
Analytic Hierarchy Process ◽  
Ahp Method ◽  
Analytic Hierarchy ◽  
Experimental Instruction ◽  
Comparison Judgment ◽  
Judgment Matrix ◽  
The Analytic Hierarchy Process ◽  
Set Up ◽  
Hierarchy Process

To classify the difficulty of the experiments is the basis of the effective mutlit-level experimental instruction. In this paper, we employ the analytic hierarchy process (AHP) method to compare and analyse the difficult of the experiments, and set up a corresponding comparison judgment matrix to the difficulty of the projects. We obtain some sortings of difficulty of experiments, which coincide with the fact. Our studies offer an effective way to the rational sorting of difficulty of experiments.

scholarly journals Evaluation of the Diversity of Training Quality Conducted as Part of General Training and on-the-Job Training – Case Study

2018 ◽  
Vol 1 (1) ◽  
pp. 683-688
Author(s):  
Zygmunt Korban ◽  
Paweł Kołodziejczyk ◽  
Marcela Rabasová
Keyword(s):  
Analytic Hierarchy Process ◽  
Job Training ◽  
Initial Training ◽  
Ahp Method ◽  
Analytic Hierarchy ◽  
General Training ◽  
The Analytic Hierarchy Process ◽  
On The Job Training ◽  
Business Entities ◽  
Hierarchy Process

Abstract The level of occupational health and safety is one of the determinants of the company's efficiency. The article assessed the quality of general initial training (general training) and initial training at the workplace (on-the-job training) carried out in selected business entities related to the hard coal mining industry. Problem included in the above trainings were interpreted as a criterion function within a multi-criteria analysis based on the Analytic Hierarchy Process (AHP) method. Application of the AHP method allowed to perform a diagnostic (comparative) assessment of objects (business entities), both objects and accepted assessment criteria were compared in pairs with each other (the evaluator's preferences (subjectivity of assessments) are treated in the Analytic Hierarchy Process as a natural phenomenon).

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