scholarly journals Correlated Analytic Hierarchy Process

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Hsiang-Hsi Liu ◽  
Yeong-Yuh Yeh ◽  
Jih-Jeng Huang
Keyword(s):  
Analytic Hierarchy Process ◽  
Programming Model ◽  
Analytic Network Process ◽  
Correlation Effect ◽  
Decision Makers ◽  
Analytic Hierarchy ◽  
Common Effect ◽  
Proposed Model ◽  
Network Process ◽  
Hierarchy Process

The analytic hierarchy process (AHP) has been the most popular tool for the field of decision making in the past 30 years, because of its simplicity and rationality. Construct a hierarchy system for evaluation by decision makers. Hence, only the effect of outer-dependence can be considered in the AHP. However, besides outer-dependence, correlation is another common effect between criteria which cannot be accounted for neither by the AHP nor by the analytic network process (ANP). Hence, in this paper, we extend the AHP to consider the correlation effect. In addition, a biobjective programming model is proposed to derive the result. Furthermore, the traditional AHP can be considered as the special case of the proposed model when the correlation effect between criteria is ignored. Finally, a numerical example is given to justify the proposed method and compare the result with the AHP.

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.

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.

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 APPLICATION OF A SWOT-FANP METHOD

2013 ◽  
Vol 19 (4) ◽  
pp. 570-592 ◽  
Author(s):  
Yun-Huei Lee
Keyword(s):  
Swot Analysis ◽  
Analytic Network Process ◽  
Decision Makers ◽  
Strategic Decision ◽  
Planning Tool ◽  
Strategy Formulation ◽  
Relative Priority ◽  
Analytic Hierarchy ◽  
Network Process ◽  
Hierarchy Process

Strengths, weaknesses, opportunities, and threats (SWOT) analysis is an effective strategic planning tool for the development of strategy formulation, but its main weakness is being incapable of quantitatively determining the weights and effects of alternative strategic criteria. Some studies’ use of SWOT with analytic hierarchy process (AHP) would enable decision-makers to obtain-through pairwise comparisons-a relative priority of each criterion, so that the results from quantitative measures could overcome SWOT's central shortcoming. However, these studies neglect critical relationships or dependencies among SWOT factors. In this study, I propose a quantitative SWOT that rests on fuzzy analytic network process (FANP) methodology, includes possible dependencies among SWOT factors and permits the elimination of decision-makers’ uncertain and vague preferences. To this end, I chose the Taiwan biotech pharmaceutical industry as an illustrative example. This study demonstrates and validates that such an enhanced methodology is viable and highly capable of providing enriched insights regarding strategic decision-making management in complex real-world situations.

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