## Abstract A methodology is proposed to convert ordinal ranking of a number of criteria into numerical weights. Specifically, a simple mathematical expression is developed to provide the weight for each criterion as function of its rank and the total number of criteria. The proposed methodology is
Ordinal ranking methods for multicriterion decision making
โ Scribed by Zachary F. Lansdowne
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 980 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0894-069X
No coin nor oath required. For personal study only.
โฆ Synopsis
Given multiple criteria and multiple alternatives, the goal is to aggregate the criteria information and obtain an overall ranking of alternatives. An ordinal ranking method requires only that the rank order of the alternatives be known for each criterion. We compare and illustrate the ordinal ranking methods devised by Borda, Bernardo, Cook and Seiford, Kohler, and Arrow and Raynaud. We show whether each method places the Condorcet winner (if it exists) in first place, ranks the alternatives according to the Condorcet order (if it exists), and satisfies two principles of sequential independence. We also consider the application of these methods to cost and operational effectiveness analyses (COEAs).
๐ SIMILAR VOLUMES
An approach based on 2-tuple is presented to solve the hybrid multiple attribute decision making problem with weight information unknown. First, transformation rules between linguistic variables and triangular fuzzy numbers, and distance between 2-tuple linguistics are defined, then the transformati