scholarly journals REFLECTIONS: MATHEMATICAL PRINCIPLES OF DECISION MAKING

2017 ◽  
Vol 9 (3) ◽  
Author(s):  
Birsen Karpak
Keyword(s):  
Decision Making ◽  
Resource Allocation ◽  
Sensitivity Analysis ◽  
Analytic Hierarchy Process ◽  
Analytic Network Process ◽  
Time Dependent ◽  
Pairwise Comparisons ◽  
Analytic Hierarchy ◽  
Network Process ◽  
Hierarchy Process

This article discusses my reflections on Mathematical Principles of Decision Making by Thomas Saaty  (Saaty T. L., 2010). In this book, Saaty very clearly explains his Analytic Hierarchy Process (AHP) theory for measuring both tangible and intangible factors. Experts judgments are elicited about the dominance of a factor over another one via pairwise comparisons using an absolute scale and priorities of the factors are derived. The important concepts of the AHP such as compatibility index, validation, sensitivity analysis for testing the robustness of the priorities derived, and its generalization to structures with dependence and feedback, and the Analytic Network Process (ANP) are given. Extensions of the theory to complex decisions involving benefits, opportunities, costs and risks and applications to resource allocation and conflict resolution are included, as well as the generalization to continuous and time dependent judgments is also covered.https://doi.org/10.13033/ijahp.v9i3.521  

The Analytic Network Process – Dependence and Feedback in Decision-Making

2011 ◽  
pp. 360-387 ◽  
Author(s):  
Thomas L. Saaty
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Market Share ◽  
Analytic Network Process ◽  
Analytic Hierarchy ◽  
Fundamental Scale ◽  
Network Process ◽  
Independence Assumptions ◽  
Hierarchy Process ◽  
Pair Wise Comparison

Simple multi-criteria decisions are made by deriving priorities of importance for the criteria in terms of a goal and of the alternatives in terms of the criteria. Often one also considers benefits, opportunities, costs and risks and their synthesis in an overall outcome. The Analytic Hierarchy Process (AHP) with its independence assumptions, and its generalization to dependence among and within the clusters of a decision — the Analytic Network Process (ANP), are theories of prioritization and decision-making. Here we show how to derive priorities from pair-wise comparison judgments, give the fundamental scale for representing the judgments numerically and by way of validation illustrate its use with examples and then apply it to make a simple hierarchic decision in two ways: pair-wise comparisons of the alternatives and rating the alternatives with respect to an ideal. Network decisions are discussed and illustrated with market share examples. A mathematical appendix is also included.

scholarly journals THE LEGACY OF THE ANALYTIC HIERARCHY/NETWORK PROCESS

2017 ◽  
Vol 9 (3) ◽  
Author(s):  
Luis G Vargas
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Cognitive Processes ◽  
Brain Activity ◽  
Fundamental Equation ◽  
Pairwise Comparisons ◽  
Analytic Hierarchy ◽  
Network Process ◽  
Hierarchy Process ◽  
Process Group

There is no doubt that the Analytic Hierarchy Process is in itself a remarkable contribution to the field of decision making.  In this paper, I have tried to point out what I consider to be Tom Saaty’s three most important contributions within his Analytic Hierarchy Process: group decision making, conflict resolution and the fundamental equation of pairwise comparisons.  The third contribution occupied him most of his life in an attempt to connect pairwise comparisons with brain activity related to cognitive processes.  https://doi.org/10.13033/ijahp.v9i3.541

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.

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.

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