A new distance measure including the weak preference relation: Application to the multiple criteria aggregation procedure for mixed evaluations

Amor, Sarah Ben; Martel, Jean‐Marc

doi:10.1016/j.ejor.2014.03.036

Cited by 10 publications

(6 citation statements)

References 14 publications

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“…In Frini and Amor (2019), a MUlticriteria multi‐Period Outranking Method (MUPOM) is proposed. This method starts by aggregating the criteria on each period and then performs temporal aggregation of the obtained preference relations using the measure of distance proposed by Benamor and Martel (2014). Frini and Benamor (2018) proposed a temporal multi‐criteria method to evaluate the long‐term effects using a single synthesizing criterion approach.…”

Section: Temporal Methodsmentioning

confidence: 99%

TSMAA‐TRI: A temporal multi‐criteria sorting approach under uncertainty

Mouhib

Frini

2021

Multi Criteria Decision Anal

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In recent years, the Quebec government has highlighted the importance of making decisions that are both sustainable and robust under climate change uncertainties. This paper aims to answer the following question: How to sort the alternatives according to their degree of sustainability achievement while evaluations are uncertain and temporal? The general objective of the paper is to propose a first temporal sorting method under stochastic uncertainty. The proposed method, called TSMAA‐Tri, will assign each alternative to a predefined category based on a generalization of SMAA‐Tri to a temporal context (multi‐period evaluation of alternatives) where alternative evaluations are stochastic. The method starts performing Monte Carlo simulations to generate stochastic evaluation values. Each simulation (scenario of uncertainty) will generate a specific value for each criterion using the corresponding probability distribution. Then, aggregation consists in applying SMAA Tri at each period and performing a triple aggregation: (a) uncertainty aggregation; (b) multi‐criteria aggregation; and (c) temporal aggregation. Multi‐criteria aggregation consists in applying the SMAA‐TRI method at each period. Then, two ways of temporal aggregation are proposed, based either on acceptability index or on outranking index of boundary profile. The proposed method is illustrated for sustainable forest management to show its applicability.

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Section: Temporal Methodsmentioning

confidence: 99%

TSMAA‐TRI: A temporal multi‐criteria sorting approach under uncertainty

Mouhib

Frini

2021

Multi Criteria Decision Anal

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“…This phase consists of aggregating the preference relations obtained for each pair of actions and at each period (results of Phase 1). This aggregation is done using a measure of distance between preorders [19]. Thus, the aggregated preference relation which minimizes the distance with the preorders at each period is obtained.…”

Section: Phase 2: Temporal Aggregationmentioning

confidence: 99%

“…This set contains the actions with the highest performance and those which are incomparable to them. Details on the exploitation phase are provided in [19].…”

Section: Phase 3: Exploitationmentioning

confidence: 99%

“…Binary relations are computed for each pair of actions. Phase 2 consists of aggregating the binary relations obtained over the periods using the measure of distance between preorders [19] as is done with MUPOM. Finally, in Phase 3 the performance of each action a i is computed, based on the number of actions that are preferred (strictly or weakly) to a i and those that a i are preferred to (strictly or weakly).…”

Section: Promethee-mp: a Generalization Of Promethee For Multi-periodmentioning

confidence: 99%

“…Here the temporal aggregation procedure of MUPOM (Section 4.2) is used to aggregate the preference relations obtained over the periods in Step 1.6. As with the MUPOM method, the measure of distance between preorders developed in [19] is used.…”

Section: Phase 2: Temporal Aggregationmentioning

confidence: 99%

See 2 more Smart Citations

Temporal MCDA Methods for Decision-Making in Sustainable Development Context

Frini¹,

Ben-Amor²,

Urli³

2020

Sustainability Concept in Developing Countries [Working Title]

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Public decision-making problems are more and more complex in a context where decisions have to be made based concurrently on economic, social, and environmental considerations. In this context, decisions need to be evaluated in the short, medium, and long term because their planning horizons are usually of several years or even decades. A literature review on MCDA methods used in the sustainable development (SD) context shows that most MCDA methods used are static and existing research does not propose any aggregation framework for temporal assessment of actions. In the last 5 years, development of temporal MCDA has witnessed the interest of some researchers. However, the latest developments remain limited, and only a few research studies offer aggregation frameworks for multi-period settings. This paper presents two recent temporal MCDA methods that were applied in SD context. The first is MUPOM method which demonstrates how outranking methods, based on concordance-discordance principles, can be generalized to processing temporal impacts of decisions. The second, named PROMETHEE-MP, consists of a multi-period generalization of PROMETHEE under random uncertainty.

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