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Dr. Y. İlker TOPCU
www.ilkertopcu.net www.ilkertopcu.org www.ilkertopcu.info
facebook.com/yitopcu twitter.com/yitopcu
instagram.com/yitopcu
Dr. Özgür KABAKweb.itu.edu.tr/kabak/
Decision Making Intentional and reflective choice in response to
perceived needs (Kleindorfer et al., 1993)
Dr. Y. İlker Topcu (www.ilkertopcu.net) & Dr. Özgür Kabak ([email protected]) 2
Decision Making Decision maker’s (DM’s) choice of one alternative
or a subset of alternatives among all possiblealternatives with respect to her/his goal or goals(Evren and Ülengin, 1992)
Solving a problem by choosing, ranking, orclassifying over the available alternatives that arecharacterized by multiple criteria (Topcu, 1999)
Dr. Y. İlker Topcu (www.ilkertopcu.net) & Dr. Özgür Kabak ([email protected]) 3
Multicriteria Decision Making A single DM is to choose among a countable (usually
finite) or uncountable set of alternatives that s/he evaluates on the basis of two or more (multiple) criteria (Korhonen et al., 1992; Dyer et al., 1992)
MCDM consists of constructing a global preference relation for a set of alternatives evaluated using several criteria (Vansnick, 1986)
The aim of any MCDM technique is to provide help and guidance to the DM in discovering his or her most desired solution to the problem (Stewart, 1992)
Dr. Y. İlker Topcu (www.ilkertopcu.net) & Dr. Özgür Kabak ([email protected]) 4
Multicriteria Decision Making Multiple criteria:
each problem has multiple criteria (objectives or attributes)
Conflicts among criteria:
multiple criteria conflict with each other
Incommensurable:
criteria may have different units of measurement
Design/selection:
solutions to an MCDM problem are either to design the best alternative(s) or to select the best one among previouslyspecified finite alternatives
5Dr. Y. İlker Topcu (www.ilkertopcu.net) & Dr. Özgür Kabak ([email protected])
MADM – MODMA differentiation can be made w.r.t. number of
alternatives:
Multi Attribute Decision Making – MADM Cases in which the set of decision alternatives is defined explicitly by a finite list of alternative actions – Discrete alternatives
Multi Objective Decision Making – MODM Those in which a is defined implicitly by a mathematical programming structure –Continuous alternatives
Dr. Y. İlker Topcu (www.ilkertopcu.net) & Dr. Özgür Kabak ([email protected]) 6
Multi Attribute Decision Making MADM is making preference decisions (selecting,
ranking, classifying, screening, prioritizing) over the available alternatives (finite number) that are characterized by attributes (multiple, conflicting,weighted, and incommensurable) (Yoon & Hwang, 1995)
Dr. Y. İlker Topcu (www.ilkertopcu.net) & Dr. Özgür Kabak ([email protected]) 7
MADM Problem Statements
Problématiques:
Choice (a)
Classification/Sorting (b)
Ranking (g)
Dr. Y. İlker Topcu (www.ilkertopcu.net) & Dr. Özgür Kabak ([email protected]) 8
Choice
Isolate the smallest subset liable to justify the elimination of all other actions
Selecting a subset, as restricted as possible, containing the most satisfactory alternative as a compromise solution
Dr. Y. İlker Topcu (www.ilkertopcu.net) & Dr. Özgür Kabak ([email protected]) 9
Classification
Sorting alternatives and assigning each of them into prespecified / predefined categories
Dr. Y. İlker Topcu (www.ilkertopcu.net) & Dr. Özgür Kabak ([email protected]) 10
Ranking
Building a partial or complete pre-order as rich as possible
Ranking (all or some of) alternatives by decreasing order of preference
Dr. Y. İlker Topcu (www.ilkertopcu.net) & Dr. Özgür Kabak ([email protected]) 11
Decision Making Process1. Structuring the Problem
Exploring the issue and determining whether or not MADM is an appropriate tool: If so, then alternatives for evaluation and relevant criteria can be expected to emerge
2. Constructing the Decision ModelElicitation of preferences, performance values, and (if necessary) importance
3. Analyzing (Solving) the ProblemUsing a solution method to synthesize and explore results (through sensitivity and robustness analyses)
Dr. Y. İlker Topcu (www.ilkertopcu.net) & Dr. Özgür Kabak ([email protected]) 12
MADM MethodsElementary Methods
Value Based Methods
Multi Attribute Value Theory
Simple Additive Weighting
Weighted Product
TOPSIS
Outranking Methods
AHP/ANP
Dr. Y. İlker Topcu (www.ilkertopcu.net) & Dr. Özgür Kabak ([email protected]) 13