Analytic Hierarchy Process (AHP) and Fuzzy Analytic Hierarchy Process (Fuzzy AHP) are decision-making tools used for solving complex problems involving multiple criteria. Both methods help in ranking or selecting the best alternatives by structuring a problem into a...
Understanding the Basics of MCDM In the area of decision making, MCDM standing for multiple -criteria decision making presents a framework for assessing the alternatives according several factors. This section carefully examines a foundationally justified...
Fuzzy AHP Software PicturesProject namehierarchy chartfuzzy scalepairwise comparisonexperts statusresult reportdownload hierarchy chart download Excel and word
A Visual Guide to Fuzzy AHP Online Software The Fuzzy AHP (Chang) Software is user-friendly: (1) Draw the hierarchical chart, (2) Choose/create your customized fuzzy scale, (3) Complete the pairwise comparison matrices, and (4) Obtain the complete output.1. Input the...
Gogus and Boucher (1998) developed a method for calculating the inconsistency ratio of fuzzy pairwise comparison matrices, which its steps are given as follows. STEP 1: Transform a triangular fuzzy matrix into two independent matrices. At this step, a triangular...
Consider a group of K decision-makers involved in the research:they make pairwise comparisons of n elements. As a result of thepairwise comparisons, we get a set of K matrices, where represents a relative importance of element ito j, as assessed by the expert k. The...
Fuzzy AHP-TOPSIS approaches to prioritizing solutions for reverse logistics barriers 1 Equal importance 1 1 1 2 Equal to moderate importance 1 2 3 3 Moderate importance 2 3 4 4 Moderate to strong importance 3 4 5 5 Strong importance 4 5 6 6 Strong to very strong...
STEP 1: Draw the hierarchical chart STEP 2: Define fuzzy numbers for performing the pair-wise comparisons STEP 3: Create the pair-wise comparison matrix using fuzzy numbers STEP 4: Calculate for each row of the pair-wise comparison matrix STEP 5: Compute the magnitude...
Gogus and Boucher (1998) developed a method for calculating the inconsistency ratio of fuzzy pairwise comparison matrices, which its steps are given as follows. STEP 1: Transform a triangular fuzzy matrix into two independent matrices. At...