Weighted and Logarithmic Least Square Methods for Mutual Evaluation Network System including Ahp and Anp
نویسندگان
چکیده
In this paper we show that the weighted least square (WLS) and the logarithmic least square (LLS) of various methods to solve the mutual evaluation network (MEN) system including the Analytic Hierarchy Process (AHP) and the Analytic Network Process (ANP), are superior to others. Both methods can solve MEN problems without any restrictions of the structure matrix of MEN. We also show that the WLS always gives positive solutions, which generalize the proof by Blankmeyer. We establish the error analysis of WLS and LLS. Especially, we give solving methods of MEN problems with different variances of errors by the WLS and the LLS.
منابع مشابه
The Analytic Hierarchy and the Network Process in Multicriteria Decision Making: Performance Evaluation and Selecting Key Performance Indicators Based on ANP Model
AHP is a method for ranking decision alternatives and selecting the best one when the decision maker has multiple criteria (Taylor, 2004). In evaluation n competing alternatives A1, A2,...,An under a given criterion, it is natural to use the framework of pair-wise comparison by n × n square matrix from which a set of preference values for the alternatives is derived. Many methods for estimating...
متن کاملApplication of multi-criteria decision making to estimate the potential of flooding
Integrating a geographic information system and multi-criteria decision making methods have been lead to provide spatial multi-criteria decision making methods. In this study, the spatial potential of flooding was determined based on analytic network process and analytic hierarchy process. At first, six factors of flooding were determined as criteria. The criteria were the slope, hill-slope asp...
متن کاملIntegrated multi-criteria decision-making (MCDM) method combined with decision making trial and evaluation laboratory (DEMATEL) and analytic network process (ANP) in food supplier selection
The analytic network process (ANP) is a relatively new multi-criteria decision-making (MCDM) method which can be used to solve supplier selection problem. Because there are different degrees of influence among the criteria, using ANP average method (equal cluster-weighted) to obtain the weighted supermatrix may be inexact. This paper uses an effective solution based on a combined ANP and the de...
متن کاملA rating based fuzzy analytic network process (F-ANP) model for evaluation of ship maneuverability
In this paper, a novel rating based fuzzy analytic network process (F-ANP) model is proposed for the evaluation of ship maneuverability and the improvement of maneuverability standards. By incorporating the F-ANP technique into the American Bureau of Shipping (ABS) maneuverability standards, the proposed model is able to solve the problem of mutual dependencies of the maneuvering factors inhere...
متن کاملAssessment of Watershed Management Activities using Analytical Hierarchy Process and Analytical Network Process (Case study: Heidary Watershed, Chaharmahal and Bakhtiari Province)
In this research, in order to assess the biological and mechanical measures of flood and erosion control, two sub-watersheds of Heidari Watershed located in Chaharmahal and Bakhtiari Province with similar climatic, hydrological, edaphic, vegetation and land use conditions as representative areas were selected. To assess the conducted measures, social criteria including education, participation,...
متن کامل