PROMETHEE-MP: a generalisation of PROMETHEE for multi-period evaluations under uncertainty

Urli, Bruno; Frini, Anissa; Amor, Sarah Ben

doi:10.1504/ijmcdm.2019.098042

Cited by 14 publications

(7 citation statements)

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“…These methods should combine the "best features" of currently applied approaches (including those presented in this paper). Examples of creating such hybrid methods are described in [12][13][14]19].…”

Section: Discussion Of the Results Obtained In The Study Of Methods Of Structural And Parametric Identification Of The Estimation Modelmentioning

confidence: 99%

“…"Weights" of the criteria are determined using the mathematical apparatus of the Dempster-Schaefer theory of evidence. Study [12] addresses modeling uncertainty in the problem of assigning advantages to alternatives by a DM using the Monte Carlo method within the framework of the PROMETHEE approach. Study [13] compares results of solving the problem of deciding on student tuition fees by using four different methods.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

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Devising a method for identifying the model of multi-criteria expert estimation of alternatives

Петров

Кобзев²,

Orlov³

et al. 2021

EEJET

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An approach to constructing mathematical models of individual multicriterial estimation was proposed based on information about the ordering relations established by the expert for a set of alternatives. Structural identification of the estimation model using the additive utility function of alternatives was performed within axiomatics of the multi-attribute utility theory (MAUT). A method of parametric identification of the model based on the ideas of the theory of comparative identification has been developed. To determine the model parameters, it was proposed to use the midpoint method that has resulted in the possibility of obtaining a uniform stable solution of the problem. It was shown that in this case, the problem of parametric identification of the estimation model can be reduced to a standard linear programming problem. The scalar multicriterial estimates of alternatives obtained on the basis of the synthesized mathematical model make it possible to compare them among themselves according to the degree of efficiency and, thus, choose "the best" or rank them. A significant advantage of the proposed approach is the ability to use only non-numerical information about the decisions already made by experts to solve the problem of identifying the model parameters. This enables partial reduction of the degree of expert’s subjective influence on the outcome of decision-making and reduces the cost of the expert estimation process. A method of verification of the estimation model based on the principles of cross-validation has been developed. The results of computer modeling were presented. They confirmed the effectiveness of using the proposed method of parametric model identification to solve problems related to automation of the process of intelligent decision making.

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Section: Discussion Of the Results Obtained In The Study Of Methods Of Structural And Parametric Identification Of The Estimation Modelmentioning

confidence: 99%

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Devising a method for identifying the model of multi-criteria expert estimation of alternatives

Петров

Кобзев²,

Orlov³

et al. 2021

EEJET

View full text Add to dashboard Cite

show abstract

“…Our literature review shows two research works dealing simultaneously with temporal evaluations and uncertainty (Khalili‐Damghani & Sadi‐Nezhad, 2013; Urli, Frini, & Benamor, 2019). In Urli et al (2019), a multi‐period generalization of PROMETHEE under uncertainty, called PROMETHEE‐MP, is proposed. PROMETHEE‐MP is based on two aggregations (multi‐criteria aggregation and temporal aggregation), followed by an exploitation phase.…”

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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“…The literature identifies seven types of methods that integrate the PROMETHEE family (Brans and Vincke, 1985;Brans et al, 1986), as recorded in recent research: PROMETHEE I (Makan and Fadili, 2020); PROMETHEE II ; PROMETHEE III (Urli et al, 2019); PROMETHEE IV (Albuquerque and Montenegro, 2016); PROMETHEE V (Ghandi and Roozbahani, 2020); PROMETHEE VI (Alencar and De Almeida, 2011); and PROMETHEE GAIA (Anwar and Rasul, 2019).…”

Section: Description Of the Promethee II Methodsmentioning

confidence: 99%

Ranking policing strategies as a function of criminal complaints: application of the PROMETHEE II method in the Brazilian context

Basílio¹,

Pereira

Oliveira

et al. 2020

JM2

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Purpose The purpose of this study is modelling of a problem of policing strategy order using a multicriteria method. Design/methodology/approach For the construction of the impact matrix strategies under the reduction of crime rates, considering a portfolio of crimes, a questionnaire applied to specialists was used. In a second moment, defined the criteria and strategies to be ordered, the multicriteria PROMETHEE II method was used, which with the help of the Visual PROMETHEE software, emulated the systematised data in the impact matrix and produced the final ordering of the most efficient strategies, in the fight against crime, in the perception of decision makers. Findings As a result, this research revealed that radio patrol, when used in a non-randomised manner, is the most effective policing strategy in reducing the 18 criminal demands studied in the perception of decision makers after data emulation with the PROMETHEE II method. Research limitations/implications As research implications, it can be inferred that the use of multicriteria methods in the modelling of problems in public security area can contribute to the rationalisation of use of the available means in the fight against crime in large cities. This research showed that it is possible to use customised policing strategies to absolute reality. Practical implications The practical impact of this research lies in optimising the resources available to law enforcement agencies in the fight against crime in general. Social implications It can be inferred that by choosing appropriate strategies to combat local crime, there is a direct implication in optimising the resources that the government makes available to police agencies. This optimisation allows pressure reduction under the public budget for more features. The model for choosing more effective strategies contributes to local crimes decrease, increasing the sense of the population security. Originality/value The originality lies in filling a gap in the literature with the elaboration of the impact matrix of policing strategies in reducing criminal indices and in their associated use in ordering strategies through a multicriteria method. This study contributed to applied police intelligence.

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PROMETHEE-MP: a generalisation of PROMETHEE for multi-period evaluations under uncertainty

Cited by 14 publications

References 0 publications

Devising a method for identifying the model of multi-criteria expert estimation of alternatives

Devising a method for identifying the model of multi-criteria expert estimation of alternatives

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

Ranking policing strategies as a function of criminal complaints: application of the PROMETHEE II method in the Brazilian context

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