Ordinal ranking methods for multicriterion decision making

1996 ◽  
Vol 43 (5) ◽  
pp. 613-627 ◽  
Author(s):  
Zachary F. Lansdowne
Keyword(s):  
Decision Making ◽  
Ranking Methods ◽  
Ordinal Ranking ◽  
Multicriterion Decision Making

scholarly journals Weight Approximation for Spatial Outcomes

2020 ◽  
Vol 12 (14) ◽  
pp. 5588
Author(s):  
Jay Simon
Keyword(s):  
Decision Making ◽  
Decision Makers ◽  
Approximation Methods ◽  
Water Usage ◽  
Census Block ◽  
Ordinal Ranking ◽  
New Methods ◽  
Policy Alternatives ◽  
Multi Attribute Decision Making ◽  
Geographic Regions

When preferences explicitly include a spatial component, it can be challenging to assign weights to geographic regions in a way that is both pragmatic and accurate. In multi-attribute decision making, weights reflect cardinal information about preferences that can be difficult to assess thoroughly in practice. Recognizing this challenge, researchers have developed several methods for using ordinal rankings to approximate sets of cardinal weights. However, when the set of weights reflects a set of geographic regions, the number of weights can be enormous, and it may be cognitively challenging for decision makers to provide even a coherent ordinal ranking. This is often the case in policy decisions with widespread impacts. This paper uses a simulation study for spatial preferences to evaluate the performance of several rank-based weight approximation methods, as well as several new methods based on assigning each region to a tier expressing the extent to which it should influence the evaluation of policy alternatives. The tier-based methods do not become more cognitively complex as the number of regions increases, they allow decision makers to express a wider range of preferences, and they are similar in accuracy to rank-based methods when the number of regions is large. The paper then demonstrates all of these approximation methods with preferences for water usage by census block in a United States county.

scholarly journals Ranking-Theory Methods for Solving Multicriteria Decision-Making Problems

2019 ◽  
Vol 2019 ◽  
pp. 1-7 ◽  
Author(s):  
Joseph Gogodze
Keyword(s):  
Decision Making ◽  
Multicriteria Decision Making ◽  
Pareto Optimal ◽  
Materials Selection ◽  
Ranking Methods ◽  
New Approach ◽  
Multicriteria Decision ◽  
Multicriteria Decision Making Problems ◽  
Ranking Theory ◽  
Score Matrix

The Pareto optimality is a widely used concept for the multicriteria decision-making problems. However, this concept has a significant drawback—the set of Pareto optimal alternatives usually is large. Correspondingly, the problem of choosing a specific Pareto optimal alternative for the decision implementation is arising. This study proposes a new approach to select an “appropriate” alternative from the set of Pareto optimal alternatives. The proposed approach is based on ranking-theory methods used for ranking participants in sports tournaments. In the framework of the proposed approach, we build a special score matrix for a given multicriteria problem, which allows the use of the mentioned ranking methods and to choose the corresponding best-ranked alternative from the Pareto set as a solution of the problem. The proposed approach is particularly useful when no decision-making authority is available, or when the relative importance of various criteria has not been evaluated previously. The proposed approach is tested on an example of a materials-selection problem for a sailboat mast.

Comparison of fuzzy set ranking methods for implementation in water resources decision-making

2002 ◽  
Vol 29 (5) ◽  
pp. 692-701 ◽  
Author(s):  
Predrag Prodanovic ◽  
Slobodan P Simonovic
Keyword(s):  
Decision Making ◽  
Water Resources ◽  
Fuzzy Sets ◽  
Case Studies ◽  
Fuzzy Set ◽  
Ranking Methods ◽  
Water Resources Systems ◽  
Uncertain Variables ◽  
Ranking Of Alternatives ◽  
Risk Acceptance

A new multicriteria technique, fuzzy compromise programming (FCP), is used to evaluate discrete alternatives in the context of water resources decision-making. All uncertain variables (subjective and objective) are modeled by way of fuzzy sets. Fuzzy set ranking methods are employed to compare, rank, and (or) sort the fuzzy output produced by FCP. The literature suggests that many ranking methods are available; however, not all may be appropriate for water resources decision-making. The objective of this paper is to compare fuzzy set ranking methods that can be implemented with FCP. Nine such ranking methods are considered in this research, two of which are fully tested using case studies from the literature. It was found that for all case studies, the ranking of alternatives was not very sensitive to changes in the degree of risk acceptance by experts or changes in the ranking methods themselves.Key words: fuzzy set ranking methods, risk preferences, compromise decision, water resources systems.

Reducing Bias and Uncertainty in Multievaluator Multicriterion Decision Making

2013 ◽  
Vol 27 (2) ◽  
pp. 167-176 ◽  
Author(s):  
Mounir El Asmar ◽  
Wafik Boulos Lotfallah ◽  
Wei-Yin Loh ◽  
Awad S. Hanna
Keyword(s):  
Decision Making ◽  
Multicriterion Decision Making

An integrated fuzzy decision support system for multicriterion decision-making problems

2003 ◽  
Vol 217 (1) ◽  
pp. 11-27 ◽  
Author(s):  
F T S Chan ◽  
H K Chan ◽  
M H Chan
Keyword(s):  
Decision Making ◽  
Integrated Approach ◽  
Advanced Manufacturing ◽  
Fuzzy Decision ◽  
Advanced Manufacturing Technologies ◽  
Investment Justification ◽  
Manufacturing Technologies ◽  
Fuzzy Decision Support System ◽  
Multicriterion Decision Making

In order to compete effectively in today's rapidly changing world economy, decision making should be made fast and accurate, especially when many tangible and intangible factors are considered together. Making decisions to implement advanced manufacturing technologies (AMTs) is a good example. However, not all AMT implementations are successful because most of the conventional investment justification criteria are built on tangible factors, such as cost reduction, only. Intangiabl long-term benefits such as improvement in quality, increase in flexibility, and fast delivery are always disregarded. The objective of this paper is to present an integrated approach, which incorporates different approaches (e.g. strategic, economic and analytic evaluations) for assessing the benefits among several alternative proposals, such as implementing AMT, by a fuzzy multicriterion decision-making method.

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