Fuzzy Multicriteria Decision‐Making

Pedrycz, Witold; Ekel, Petr; Parreiras, Roberta

doi:10.1002/9780470974032

Cited by 116 publications

(126 citation statements)

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“…Decisional problems cannot be solved as deterministic ones. One of the last and the most important books that summarizes and presents actual achievements of fuzzy investigations in decision making is the book by Pedrycz et al [8]. Although this book presents a lot of methods, none of them however seems to use an identical approach to the multicriterion identification as the COMET.…”

Section: The Characteristic Objects Methods For Elicitation and Modelimentioning

confidence: 99%

“…Although this book presents a lot of methods, none of them however seems to use an identical approach to the multicriterion identification as the COMET. In the book [8] methods were presented for comparison of alternatives and for choice of the best alternative. Examples of the methods are a method based on construction of preference relation, interactive decisionmaking system for multicriteria analysis of alternatives in a fuzzy environment, multicriteria analysis of alternatives with fuzzy ordering of criteria, with the concept of fuzzy majority, a method based on outranking approach (fuzzy Promethee), and other methods.…”

Section: The Characteristic Objects Methods For Elicitation and Modelimentioning

confidence: 99%

“…Group multicriteria can be achieved by aggregation of individual criteria, requiring special methods and mathematical formulation [8]. Between individuals, multicriteria are generally quantitatively and qualitatively distinct.…”

Section: Are Expert-criteria Linear or Nonlinear?mentioning

confidence: 99%

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Identification of a Multicriteria Decision-Making Model Using the Characteristic Objects Method

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Sałabun

2014

Applied Computational Intelligence and Soft Computing

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This paper presents a new, nonlinear, multicriteria, decision-making method: the characteristic objects (COMET). This approach, which can be characterized as a fuzzy reference model, determines a measurement standard for decision-making problems. This model is distinguished by a constant set of specially chosen characteristic objects that are independent of the alternatives. After identifying a multicriteria model, this method can be used to compare any number of decisional objects (alternatives) and select the best one. In the COMET, in contrast to other methods, the rank-reversal phenomenon is not observed. Rank-reversal is a paradoxical feature in the decision-making methods, which is caused by determining the absolute evaluations of considered alternatives on the basis of the alternatives themselves. In the Analytic Hierarchy Process (AHP) method and similar methods, when a new alternative is added to the original alternative set, the evaluation base and the resulting evaluations of all objects change. A great advantage of the COMET is its ability to identify not only linear but also nonlinear multicriteria models of decision makers. This identification is based not on a ranking of component criteria of the multicriterion but on a ranking of a larger set of characteristic objects (characteristic alternatives) that are independent of the small set of alternatives analyzed in a given problem. As a result, the COMET is free of the faults of other methods.

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Section: The Characteristic Objects Methods For Elicitation and Modelimentioning

confidence: 99%

Section: The Characteristic Objects Methods For Elicitation and Modelimentioning

confidence: 99%

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Identification of a Multicriteria Decision-Making Model Using the Characteristic Objects Method

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Sałabun

2014

Applied Computational Intelligence and Soft Computing

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“…For instance, an association between different diseases and possible symptoms, documents and keywords, expected gain and possible states of nature, etc., are rarely of binary nature. Hence, by admitting there different intensity of association we obtain much more adequate mathematical model of the discussed problem (see, e.g., [3][4][5]). …”

Section: Introductionmentioning

confidence: 99%

On Separability of Fuzzy Relations

Grzegorzewski

2017

IJFIS

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“…Decision making is the final and crucial step in many real applications such as organization management, financial planning, products evaluation, risk assessment and recommendation, which, in many cases, can be seen as the process for choosing the most appropriate one among a set of alternatives under provided criteria, objectives, or preferences [1][2][3]. Along with the social and economic development, it becomes more and more difficult to make decision based on simple personal judgements.…”

Section: Introductionmentioning

confidence: 99%

Ordering based decision making – A survey

et al. 2013

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A B S T R A C TDecision making is the crucial step in many real applications such as organization management, financial planning, products evaluation and recommendation. Rational decision making is to select an alternative from a set of different ones which has the best utility (i.e., maximally satisfies given criteria, objectives, or preferences). In many cases, decision making is to order alternatives and select one or a few among the top of the ranking. Orderings provide a natural and effective way for representing indeterminate situations which are pervasive in commonsense reasoning. Ordering based decision making is then to find the suitable method for evaluating candidates or ranking alternatives based on provided ordinal information and criteria, and this in many cases is to rank alternatives based on qualitative ordering information. In this paper, we discuss the importance and research aspects of ordering based decision making, and review the existing ordering based decision making theories and methods providing future research directions.

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Fuzzy Multicriteria Decision‐Making

Cited by 116 publications

References 0 publications

Identification of a Multicriteria Decision-Making Model Using the Characteristic Objects Method

Identification of a Multicriteria Decision-Making Model Using the Characteristic Objects Method

On Separability of Fuzzy Relations

Ordering based decision making – A survey

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