Tools for interactive multiattribute decisionmaking with incompletely identified information

Park, Kyung Sam; Kim, Soung Hie

doi:10.1016/0377-2217(95)00121-2

Cited by 220 publications

(89 citation statements)

References 20 publications

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“…A substantial body of literature exists which seeks to address the problem of generating a partial ordering of alternatives under MAUT, which may be sufficient for decision-making. Fishburn [6], Hannan [7], Kirkwood and Sarin [8], Hazen [9], Weber [10], Barron and Barrett [11], Park and Kim [12], and Athanassopoulos and V. V. Podinovski [13] each outline techniques for generating a partial ordering given linear constraints. The proposed methods differ in terms of the types of constraints considered (for example, using ordinal ranking of unknown quantities [7], [12], bounds [6], or pairwise comparisons of alternatives [8]) and in the notions of dominance employed (strict [8], mixed [13], [6], [10], or weak [9]).…”

Section: B Related Workmentioning

confidence: 99%

Resolvability for Imprecise Multiattribute Alternative Selection

White

Holloway²

2008

IEEE Trans. Syst., Man, Cybern. A

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Abstract-We consider an alternative selection process that involves multiple and conflicting objectives. A facilitator asks a decision-maker (DM), or a decision-making body, questions and obtains responses in order to help the DM select a most preferred alternative. The DM responses to these questions do not necessarily result in precisely determined parameter values (e.g., weights and value scores corresponding to a given model of preference). The goal of this research is to guide the facilitator in selecting what question to ask next, and determining when to terminate the question-response process.We model the facilitator's question selection problem as a Markov decision process, and present conditions that guarantee the existence of a question-response policy to identify a most preferred alternative in a finite number of questions. We also present conditions that guarantee the existence of a questionresponse policy that will identify a most preferred alternative as the number of questions asked goes to infinity. Both of these sets of conditions are easily identified a priori and may be used to aid a facilitator in determining which questions to ask, and when to terminate the alternative selection process because identification of a most preferred alternative is not possible.

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Section: B Related Workmentioning

confidence: 99%

Resolvability for Imprecise Multiattribute Alternative Selection

White

Holloway²

2008

IEEE Trans. Syst., Man, Cybern. A

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“…Its main limitation is to consider only interval parameter values, rather than generic constraints. 6 The approaches based on pairwise comparisons are able to bypass the "fatal attraction" to optimality. However, the binary relations that these approaches consider are not easy to exploit in a meaningful manner.…”

Section: Approaches Based On Pairwise Comparisonsmentioning

confidence: 99%

“…The alternatives excluded are marked as inactive but not deleted, so that they may be reactivated later. After marking a 5 , a 6 , a 8 and a 9 as inactive, let us compute the Pairwise Confrontation Table, which also gives us the maximum regret for each alternative (Figures 4 and 5). The negative cells are marked with a different colour indicating that the alternative corresponding to the respective row is dominated by the one corresponding to the respective column.…”

Section: A Guided Tour Of Vip Analysismentioning

confidence: 99%

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Additive Aggregation with Variable Interdependent Parameters: The VIP Analysis Software

Dias¹,

Climaco²

2000

The Journal of the Operational Research Society

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Abstract:We consider the aggregation of multicriteria performances by means of an additive value function under imprecise information. The problem addressed here is the way an analysis may be conducted when the decision makers are not able to (or do not wish to) fix precise values for the importance parameters. These parameters can be seen as interdependent variables that may take several values subject to constraints. First, we briefly classify some existing approaches to deal with this problem. We will argue that they complement each other, each one having its merits and shortcomings. Then, we present a new decision support software -VIP Analysis -which incorporates approaches belonging to different classes. It proposes a methodology of analysis based on the progressive reduction of the number of alternatives, introducing a concept of tolerance that lets the decision makers use some of the approaches in a more flexible manner.

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“…But in the real world, the increasing complexity of the socio-economic environment makes it less and less impossible for the decision maker (DM) to make a decision in an order step, perhaps in some phase, the DM does not satisfy with the result, it needs to revise some value of the phase, thus, interactive process is important for the DM to determine the best alternative. Interactive approaches have been received more and more attention in recent years 2,[11][12][13][14]19,31,32 . As a result, decision situations in which the information cannot be assessed by precisely in a quantitative form but may be in a qualitative one, for example, when evaluating the "comfort" or "design" of a car, terms like "good", "medium", "bad" are usually used, and evaluating a car's speed, terms like "very fast", "fast", "slow" can be used instead of numeric values 1,10,15,24,25,[27][28][29] , and thus, in such situations, the use of linguistic approach is necessary.…”

Section: Introductionmentioning

confidence: 99%

An Interactive Approach Based on Alternative Achievement Scale and Alternative Comprehensive Scale for Multiple Attribute Decision Making under Linguistic Environment

Xu¹,

Wang²,

Palacios‐Marqués³

2013

IJCIS

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The aim of this paper is to develop an interactive approach for multiple attribute decision making with incomplete weight information under linguistic environment. Some of the concepts are defined, such as the distance between two 2-tuple linguistic variables, the expectation level of alternative, the achievement scale, the alternative comprehensive scale under linguistic environment. Based on these concepts, we establish some linear programming models, through which the decision maker interacts with the analyst. Furthermore, we establish a practical interactive approach for selecting the most desirable alternative(s). The interactive process can be realized by giving and revising the achievement scale and comprehensive scale of alternatives till the achievement scale and the comprehensive scale are achieved to the decision maker's request. Finally, an illustrative example is also given.

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Tools for interactive multiattribute decisionmaking with incompletely identified information

Cited by 220 publications

References 20 publications

Resolvability for Imprecise Multiattribute Alternative Selection

Resolvability for Imprecise Multiattribute Alternative Selection

Additive Aggregation with Variable Interdependent Parameters: The VIP Analysis Software

An Interactive Approach Based on Alternative Achievement Scale and Alternative Comprehensive Scale for Multiple Attribute Decision Making under Linguistic Environment

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