scholarly journals Construction of Consistent Comparison Matrix by Macharis’ Method Revisit

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Yi-Fong Lin
Keyword(s):  
Recent Article ◽  
Multicriteria Decision Making ◽  
Preference Ranking ◽  
Original Design ◽  
Analytic Hierarchy ◽  
New Approach ◽  
Comparison Matrix ◽  
Famous Paper ◽  
Hierarchy Process ◽  
Original Construction

A famous paper that has been cited more than four hundred times tried to combine (a) the preference ranking organization method for enrichment evaluations (PROMETHEE) and (b) the analytic hierarchy process (AHP) to construct a new method for multicriteria decision-making problems. The paper developed a consistent comparison matrix for their AHP by the defined first row and then they allowed the expert to change several entries in the comparison matrix. Hence, how to construct a new comparison matrix that is (i) consistent and (ii) satisfying the assigned values by the expert becomes a challenging problem. A recent article provided a reply to the above problem by the construction of all entries for the comparison matrix. However, they did not follow the original design proposed by the famous paper. In this paper, we present a new approach with a proposition that satisfies the original design of the famous paper and also achieves two goals (i) and (ii). The research gap of proof is fulfilled by this paper. Our findings explain that the original construction of the famous paper to develop a consistent comparison matrix only by the first row with several assigned values by an expert is indeed workable under two additional restrictions proposed by the recent article. We believe that after our proposition, researchers have the confidence to execute the original design of the paper that has been cited more than four hundred times.

scholarly journals Ranking of hydropower projects based on sustainability criteria in India using multicriteria decision making methods

2021 ◽  
Vol 12 (1) ◽  
pp. 75-90
Author(s):  
Anuja Shaktawat ◽  
Shelly Vadhera
Keyword(s):  
Decision Making ◽  
Sustainability Assessment ◽  
Multicriteria Decision Making ◽  
Preference Ranking ◽  
Energy Planning ◽  
Analytic Hierarchy ◽  
Multicriteria Decision ◽  
Promethee Ii ◽  
Sustainability Criteria ◽  
Hierarchy Process

Assessment of hydropower projects with respect to sustainability criteria is a multidimensional and complex issue. It requires considering technical, environmental, and social parameters instead of purely economic ones in decision making for energy planning. The flexibility to consider several criteria and objectives simultaneously leads to the use of multicriteria decision making (MCDM) methods which are well accepted in the field of energy planning. This paper aims at applying MCDM methods in facilitating the decision makers to select the most sustainable hydropower projects in the Indian region by making real and logical choices based on eight important criteria selected from the literature that are compatible with sustainable development. To comprehensively rank hydropower projects three MCDM methods are applied i.e., the technique for order of preference by similarity to ideal solution (TOPSIS), preference ranking organization method for enrichment evaluations (PROMETHEE II), and elimination and choice translating reality (ELECTRE III). Analytic hierarchy process (AHP) is used to calculate the weights of criteria. All three methods are well adapted for sustainability assessment and ranked Sharavathi (A9), Bhakra (A2), and Upper Indravati (A13) to be the most sustainable hydropower projects in India under the selected criteria. The study will be helpful in sustainable energy planning of hydropower projects with similar geographical conditions.

scholarly journals Maintenance Preventive Analysis in Additive Manufacturing Equipment using Analytic Hierarchy Process

2021 ◽  
Author(s):  
Pablo Ayala ◽  
Hugo Francisco López Herrera
Keyword(s):  
Analytic Hierarchy Process ◽  
Manufacturing System ◽  
Multicriteria Decision Making ◽  
Integrated Approach ◽  
Preference Ranking ◽  
3D Printer ◽  
Analytic Hierarchy ◽  
Manufacturing Equipment ◽  
Hierarchy Process

Abstract Maintenance preventive (PM) on equipment is a very important issue for an effective manufacturing system, since the improper MP might cause many problems affecting productivity, precision, flexibility and quality of the products negatively. On the other hand, analysis of MP equipment among many alternatives can be a multicriteria decision making (MCDM) problem. In this study, an integrated approach which employs analytic hierarchy process (AHP) and preference ranking elements, is proposed for the MP equipment of 3D printer machine. The AHP is used to analyze the structure of the equipment problems and to determine weights of the criteria, and this method is used to obtain final ranking. Proposed approach is applied to a problem of 3D printer machines to be established a MP strategy.

Comparison of Judgment Scales of the Analytical Hierarchy Process — A New Approach

2019 ◽  
Vol 18 (02) ◽  
pp. 445-463 ◽  
Author(s):  
Klaus D. Goepel
Keyword(s):  
Analytical Hierarchy Process ◽  
Analytic Functions ◽  
Decision Problem ◽  
Decision Criteria ◽  
Maximum Weight ◽  
Analytic Hierarchy ◽  
New Approach ◽  
Scale Functions ◽  
Decision Method ◽  
Hierarchy Process

The analytic hierarchy process (AHP) remains a popular multi-criteria decision method. One topic under discussion of AHP is the use of different scales to translate judgments into ratios. The author makes a new approach to compare different scale functions and to derive a recommendation for the application of scales. The approach is based on simple analytic functions and takes into consideration the number of criteria of the decision problem. A generalization of the so-called balanced scale is proposed, and a new adaptive-balanced scale is introduced. Scales are then categorized and compared based on weight boundaries and weight ratios, weight uncertainties, weight dispersion and number of decision criteria. Finally, a practical example of a decision hierarchy is presented applying the different scales. The results show that the generalized balanced scale improves weight dispersion and weight uncertainty in comparison to the fundamental AHP scale. The proposed adaptive-balanced scale overcomes the problem of a change of the maximum weight depending on the number of decision criteria.

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 Two Approximation Models of Fuzzy Weight Vector from a Comparison Matrix

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Tomoe Entani
Keyword(s):  
Analytic Hierarchy Process ◽  
Weight Vector ◽  
Analytic Hierarchy ◽  
Lower Approximation ◽  
Comparison Matrix ◽  
Fuzzy Weight ◽  
Interval Weight ◽  
Hierarchy Process ◽  
Interval Comparison ◽  
Approximation Models

In this study, our uncertain judgment on multiple items is denoted as a fuzzy weight vector. Its membership function is estimated from more than one interval weight vector. The interval weight vector is obtained from a crisp/interval comparison matrix by Interval Analytic Hierarchy Process (AHP). We redefine it as a closure of the crisp weight vectors which approximate the comparison matrix. The intuitively given comparison matrix is often imperfect so that there could be various approaches to approximate it. We propose two of them: upper and lower approximation models. The former is based on weight possibility and the weight vector with it includes the comparison matrix. The latter is based on comparison possibility and the comparison matrix with it includes the weight vector.

scholarly journals Use of the PVM Method Computed in Vector Space of Increments in Decision Aiding Related to Urban Development

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 446 ◽  
Author(s):  
Marek Kannchen ◽  
Paweł Ziemba ◽  
Mariusz Borawski
Keyword(s):  
Urban Development ◽  
Vector Space ◽  
Fuzzy Ahp ◽  
Fuzzy Topsis ◽  
Preference Ranking ◽  
Analytic Hierarchy ◽  
Vector Method ◽  
Decision Aiding ◽  
Topsis Technique ◽  
Hierarchy Process

The paper presents a possibility to use a new PVM-VSI (Preference Vector Method computed in Vector Space of Increments) method in making decisions that demand that different variants should be considered, while being evaluated with respect to different criteria. Hence, knowledge about them is a must, and that knowledge is not necessarily available quantitatively, whereas the very evaluation should be relatively objective; that is, independent from the decision maker’s preferences or opinions. The paper presents the use of the PVM-VSI method in support decisions related to urban development—to rank projects submitted for implementation within the framework of a citizen budget. The ranking will make it feasible to determine which of the submitted projects will have the dominant influence on the town’s sustainable development, and, subsequently, which ones should be presented to citizens as the better ones out of the projects submitted, and to compare the method mentioned with methods used in similar decision-making problems in the past: Fuzzy AHP (Analytic Hierarchy Process), Fuzzy TOPSIS (Technique for Order of Preference by Similarity to Ideal Solution), and Fuzzy PROMETHEE (Preference Ranking Organization METHod for Enrichment of Evaluation).

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