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.

On Moderate Fuzzy Analytic Hierarchy Process Pairwise Comparison Model With Subcriteria

2016 ◽  
Vol 2 (3) ◽  
pp. 54
Author(s):  
G. Marimuthu ◽  
G. Ramesh
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Fuzzy Ahp ◽  
Pairwise Comparison ◽  
Decision Models ◽  
Fuzzy Analytic Hierarchy Process ◽  
Analysis Method ◽  
Analytic Hierarchy ◽  
Comparison Model ◽  
Hierarchy Process

Decisions usually involve the getting the best solution, selecting the suitable experiments, most appropriate judgments, taking the quality results etc., using some techniques.  Every decision making can be considered as the choice from the set of alternatives based on a set of criteria.  The fuzzy analytic hierarchy process is a multi-criteria decision making and is dealing with decision making problems through pairwise comparisons mode [10].  The weight vectors from this comparison model are obtained by using extent analysis method.  This paper concern with an alternate method of finding the weight vectors from the original fuzzy AHP decision model (moderate fuzzy AHP model), that has the same rank as obtained in original fuzzy AHP and ideal fuzzy AHP decision models.

scholarly journals USING THE ANALYTIC HIERARCHY PROCESS FOR DECISION MAKING IN SMART TRAFFIC LIGHT FOR HIGH PRIORITY VEHICLE

2019 ◽  
Vol 4 (2) ◽  
pp. 146-153
Author(s):  
Muhammad Izzuddin Mahali ◽  
Eko Marpanaji ◽  
Muhammad Adi Febri Setiawan
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Traffic Light ◽  
Analytic Hierarchy ◽  
The Analytic Hierarchy Process ◽  
Waterfall Model ◽  
Smart Traffic ◽  
Hierarchy Process

Kemacetan sering terjadi di banyak persimpangan jalan kota-kota besar di Indonesia. Sesuatu yang penting seperti kendaraan prioritas sering pula berada pada kemaccetan tersebut. Untuk mengatasi permasalahan tersebut terdapat inovasi baru yaitu Intelligent Traffic Light yang dibekali dengan Aplikasi “Bang Jopin”. Namun terdapat permasalahan baru ketika ada kendaraan prioritas melakukan request emergency secara bersamaan pada traffic light yang sama. Penentuan prioritas tidak dapat dilakukan dengan pengurutan saja karena ketika memprioritaskan kendaraan pada traffic light harus mempertimbangkan karakteristik traffic light dan kebiasaan pengendara.    Oleh kerena itu, Metode Analitical Hierarchy Process (AHP) merupakan solusi yang tepat dalam menentukan kendaraan prioritas yang didahulukan ketika ada lebih dari satu request pada satu waktu. Penelitian ini bertujuan untuk menentukan bobot masing-masing kriteria, menguji fungsi program, dan menerapkannya pada perangkat. Metode Penelitian yang digunakan adalah waterfall model.

scholarly journals There is still time to submit papers to ISAHP 2018!

2018 ◽  
Vol 10 (1) ◽  
Author(s):  
Elena Rokou
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
International Symposium ◽  
Analytic Hierarchy ◽  
The Analytic Hierarchy Process ◽  
Hierarchy Process

The International Symposium on the Analytic Hierarchy Process (ISAHP) for Decision Making brings together researchers, academics, students and other users of AHP/ANP to share their research and experiences in decision making. In this article the highlights of the upcoming conference are presented.

Some Conflicting Results in the Analytic Hierarchy Process

2019 ◽  
Vol 18 (02) ◽  
pp. 465-486 ◽  
Author(s):  
Ardalan Bafahm ◽  
Minghe Sun
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Decision Makers ◽  
Unexpected Result ◽  
Multi Criteria Decision Making ◽  
Analytic Hierarchy ◽  
Preference Relations ◽  
The Analytic Hierarchy Process ◽  
Hierarchy Process

The analytic hierarchy process (AHP) has been believed to be one of the most pragmatic and widely accepted methods for multi-criteria decision making. However, there have been various criticisms of this method within the last four decades. In this study, the results of AHP contradicting common expectations are examined for both the distributive and ideal modes. Specifically, conflicting priorities, conflicting decisions, and conflicting preference relations are investigated. A decision-making scenario is used throughout the paper and an illustrative example constructed from the decision-making scenario is provided to demonstrate each of the conflicting results recommended by AHP. With a parametric formulation of each unexpected result, the possibility of unexpected results of AHP is generalized irrespective of applying the distributive or ideal mode. The logic and causes of these contradictions are also analyzed. This study shows that AHP is not always reliable, and could lead the decision makers towards incorrect decisions.

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.

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