By Tzeng Gwo-Hshiung, Gwo-Hshiung Tzeng, Huang Jih-Jeng, Jih-Jeng Huang
ISBN-10: 1439861579
ISBN-13: 9781439861578
Determination makers are frequently confronted with numerous conflicting choices. How do they overview trade-offs while there are greater than 3 standards? to aid humans make optimum judgements, students within the self-discipline of a number of standards choice making (MCDM) proceed to advance new equipment for structuring personal tastes and picking out the right kind relative weights for standards. A compilation of recent decision-making suggestions, a number of characteristic selection Making: equipment and purposes specializes in the bushy set method of a number of characteristic determination making (MADM). Drawing on their event, the authors compile present tools and real-life functions of MADM recommendations for selection research. in addition they suggest a unique hybrid MADM version that mixes DEMATEL and analytic community technique (ANP) with VIKOR procedures.
The first a part of the e-book specializes in the idea of every procedure and comprises examples that may be calculated with out a machine, offering a whole knowing of the techniques. equipment contain the analytic hierarchy procedure (AHP), ANP, uncomplicated additive weighting strategy, ELECTRE, PROMETHEE, the grey relational version, fuzzy imperative procedure, tough units, and the structural version. Integrating conception and perform, the second one a part of the ebook illustrates how tools can be utilized to resolve real-world MADM difficulties. purposes coated within the ebook include:
AHP to pick making plans and layout providers for a building project
TOPSIS and VIKOR to judge the easiest alternative-fuel autos for city areas
ELECTRE to resolve community layout difficulties in city transportation planning
PROMETEE to set priorities for the improvement of recent strength structures, from sun thermal to hydrogen energy
Fuzzy integrals to guage firm intranet internet sites
Rough units to make judgements in coverage marketing
Helping readers know the way to use MADM ideas to their choice making, this publication is acceptable for undergraduate and graduate scholars in addition to practitioners.
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Additional info for Multiple Attribute Decision Making: Methods and Applications
Sample text
Next, select α = 0 and α = 1 and perform the random process of estimating fij( k ) (Dom[α ]) 1000 times, respectively, to estimate the end points of π1(k ) and π(2k ). According to the experiment results, the fuzzy steady-state probabilities are π1( k )[0] = [2 / 9, 4 / 7] and π(2k )[0] = [3/7, 7/ 9], and π1( k )[1] = [3/8, 3/8] and π(2k )[1] = [5/8, 5/8]. From a theoretical viewpoint, raising the supermatrix to its limiting power in the ANP is similar to the same properties of Markov chains in that the elements in the supermatrix are similar to the transition probabilities in the transition matrix.
5. Note that, since the bounds of fuzzy eigenvectors may be hard to calculate, some heuristic methods, such as genetic algorithms or simulated annealing algorithms, should be used to handle this problem. Step 3: Form the fuzzy weighted supermatrix. 6. Now, we can obtain the fuzzy global priorities by raising the fuzzy weighted supermatrix to its limiting power in the following step. Step 4: Raise the fuzzy weighted supermatrix until the convergent condition is satisfied. In this step, the fuzzy weighted supermatrix is raised to its limiting power to obtain the fuzzy global weights.
3. 0655]. 0456]. I. R. 0637, we can conclude that the consistency of the subjective perception is satisfied. However, in realistic problems, the perception of a decision maker is usually vague, fuzzy, or linguistic. For example, the linguistic expression that one criterion is “much more” important than another may be expressed by the ratios 7/1 or 9/1. Therefore, the fuzzy pair comparisons among criteria are more suitable for this situation. In the following sections, we present three kinds of methods to calculate the fuzzy AHP as follows.
Multiple Attribute Decision Making: Methods and Applications by Tzeng Gwo-Hshiung, Gwo-Hshiung Tzeng, Huang Jih-Jeng, Jih-Jeng Huang
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