A MATRIX METHOD FOR THE FUZZY ANALYTIC NETWORK PROCESS

2008 ◽  
Vol 16 (06) ◽  
pp. 863-878 ◽  
Author(s):  
JIH-JENG HUANG
Keyword(s):  
Weight Vector ◽  
Analytic Network Process ◽  
Matrix Problem ◽  
Analytic Hierarchy ◽  
Global Weight ◽  
Network Process ◽  
Local Vectors ◽  
Reciprocal Matrix ◽  
Hierarchy Process ◽  
Fuzzy Analytic Network Process

In this paper, the fuzzy analytic network process (FANP) is proposed. For achieving this purpose, two problems are highlighted and overcome in this paper. First, the postulate of the reciprocal matrix should be released, because this property is not satisfied in the fuzzy comparison matrix. Second, the convergent problem for raising the fuzzy supermatrix to limiting power should be appropriately handled. In this paper, we directly fuzzify Cogger and Yu's method for obtaining the fuzzy local vectors, because their method releases the postulate of the reciprocal matrix in the analytic hierarchy process (AHP). Then, we derive the particular matrix problem for obtaining the fuzzy global weight vector so that the convergent problem in a fuzzy limiting supermatrix can be overcome.

Site selection for landfill gas extraction plant by fuzzy analytic hierarchy process and fuzzy analytic network process in the city of Najafabad, Iran

2017 ◽  
Vol 28 (7) ◽  
pp. 763-774 ◽  
Author(s):  
Mohammad Saeed Khademalhoseiny ◽  
Mozhgan Ahmadi Nadoushan ◽  
Hadi Radnezhad
Keyword(s):  
Analytic Hierarchy Process ◽  
Analytic Network Process ◽  
Biogas Plant ◽  
Fuzzy Analytic Hierarchy Process ◽  
Analytic Hierarchy ◽  
Network Process ◽  
Hierarchy Process ◽  
The City ◽  
Fuzzy Analytic Network Process ◽  
Selection Of

For the selection of the suitable place for the construction of sanitary landfill and biogas plant in the city of Najaf Abad, this study used fuzzy analytic hierarchy process, fuzzy analytic network process, and geographic information system. In this research, factors such as slope, aspect, geology, land use, biomass, and distance from groundwater, electricity network, protected areas, and roads were used as the most important criteria for site selection of biogas plant. The results of weighting and overlaying the maps of different criteria showed that based on the analytic network process, the best place selected for the establishment of biogas reactor was located in the southwest and based on analytic hierarchy process, the best places are located in the south and southwest of the study area. Suggested places, which are the best for the establishment of biogas plant, are located in barren lands of Najaf Abad. Moreover, according to the result, it is found that 10% and 11% of the study area are highly suitable based on fuzzy analytic hierarchy process and analytic network process methods, respectively. The results showed that the usage of fuzzy analytic hierarchy process, fuzzy analytic network process as multi-criteria decision-making methods in combination with geographic information system are suitable for selecting the best place for landfill and biogas plant.

scholarly journals ANALYTIC NETWORK PROCESS (ANP) PADA BALANCED SCORECARD (BSC) DENGAN PENDEKATAN FUZZY

2016 ◽  
Vol 3 (2) ◽  
pp. 205
Author(s):  
Oni Soesanto ◽  
Muhammad Mahfuzh Shiddiq ◽  
Oktarini Oktarini
Keyword(s):  
Analytic Hierarchy Process ◽  
Balanced Scorecard ◽  
Fuzzy Number ◽  
Analytic Network Process ◽  
Triangular Fuzzy Number ◽  
Analysis Method ◽  
Analytic Hierarchy ◽  
Network Process ◽  
Hierarchy Process ◽  
Fuzzy Analytic Network Process

<p align="center"><strong>ABSTRAK</strong></p><p>Himpunan <em>fuzzy</em> merupakan perkembangan dari himpunan klasik. Himpunan <em>fuzzy</em> digunakan sebagai dasar dalam logika <em>fuzzy</em>. Logika <em>fuzzy</em> banyak diterapkan pada penelitian teknik pengambilan keputusan. Teknik pengambilan keputusan yang menerapkan logika <em>fuzzy</em> juga dapat digunakan dalam <em>Balanced ScoreCard</em> (BSC). Salah satu metode teknik pengambilan keputusan adalah <em>Fuzzy Analytic Hierarchy Process </em>(FAHP). FAHP telah diterapkan dalam BSC, namun tidak mencerminkan kondisi BSC sehingga diperlukan metode lain yang  memperhatikan keterkaitan antar aspek,  yaitu <em>Fuzzy Analytic Network Process </em>(FANP). FANP mampu memperbaiki kelemahan FAHP berupa kemampuan mengakomodasi keterkaitan antar kriteria atau alternatif. Paper ini membahas konsep pendekatan <em>Fuzzy</em> pada metode ANP menggunakan <em>extent analysis method</em><em> </em>untuk mengukur kinerja perusahaan berdasarkan indikator dalam perspektif BSC.</p><p><strong>Kata Kunci</strong>: <em>Balanced Scorecard</em> (BSC), Metode <em>extent analysis, Fuzzy Analytic Network Process</em> (FANP), <em>Triangular Fuzzy Number </em>(TFN)</p>

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.

Diminishing Utility Decision Model for Weighting Criteria

2015 ◽  
Vol 14 (06) ◽  
pp. 1263-1284 ◽  
Author(s):  
Jih-Jeng Huang ◽  
Masahiro Inuiguchi
Keyword(s):  
Analytic Hierarchy Process ◽  
Decision Model ◽  
Marginal Utility ◽  
Analytic Network Process ◽  
Analytic Hierarchy ◽  
Numerical Examples ◽  
Absorbing State ◽  
Network Process ◽  
Diminishing Marginal Utility ◽  
Hierarchy Process

The analytic hierarchy/network process (analytic hierarchy process (AHP)/analytic network process (ANP)) became the most popular tool for weighting criteria in the field of multiple criteria analysis during the 1980s. However, these models often suffer from criticisms because of their theoretical and practical problems. In this paper, the diminishing utility decision model (DUDM) is proposed in order to retain the pros and avoid the cons of the AHP and ANP for weighting criteria. The DUDM integrates the AHP and the concept of diminishing marginal utility in order to model the main and interaction weights of criteria, respectively. From the results of the numerical examples, it can be seen that the proposed method can solve two major limitations of the ANP. First, the proposed method can significantly reduce the number of questions that are asked in the ANP. Second, the proposed method can ensure convergence in many situations and avoid the problem of the ANP with regard to the absorbing state.

scholarly journals Report on an Analytic Network Process (ANP) Model to Estimate the Benefits, Opportunities, Costs, and Risks (BOCR) that Gun Policies and Violence Prevention Interventions have on Legal Users of Firearms

2021 ◽  
Vol 13 (2) ◽  
Author(s):  
Luis G Vargas ◽  
Amos N. Guiora ◽  
Marcel C. Minutolo
Keyword(s):  
Violence Prevention ◽  
Analytic Network Process ◽  
Federal Agencies ◽  
Pairwise Comparisons ◽  
Analytic Hierarchy ◽  
Prevention Interventions ◽  
Network Process ◽  
Zero Sum ◽  
The Impact ◽  
Hierarchy Process

Balancing public good with individual rights is a difficult task; gun policies attempt to do just this. To ensure public safety, local, state, and federal agencies piece together policies that each entity believes will meet the needs of public welfare. When legislating new gun policies, the impact the policies have on gun owners are perceived as a zero-sum game; some groups are perceived to gain while others think they are losing, but the reality is much more nuanced.    The reason the impact of these policies on all lawful gun owners has been considered a zero-sum game is largely because to date there has been no research measuring the impact. Further, there have been no attempts to quantify the impact that the policies have on lawful gun owners. The sole argument that has been made is about constitutionality.   In this paper, we develop an approach based on the Analytic Hierarchy Process (AHP). The approach allows us to develop criteria for evaluating the impact of these policies on lawful gun owners and generate priorities for the criteria from pairwise comparisons. Criteria are compared in pairs, thus the term pairwise comparisons.  This allows us to score, as with a scorecard model, gun policies for various types of gun owners with respect to the criteria according to the Benefits, Opportunities, Costs, and Risks, thereby determining the impact of each policy.

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