International Journal of Multicriteria Decision Making (12 papers in press)
Interactive Decision Making with Fuzzy Goals for Simple Recourse in Multiobjective Stochastic Programming Problems
by Hitoshi Yano, Ichiro Nishizaki, Rongrong Zhang
Abstract: In this paper, we focus on multiobjective stochastic programming problems, and propose two interactive fuzzy decision making methods to obtain a satisfactory solution of a decision maker. In the proposed methods, equality constraints with random variables are formulated on the basis of the two-stage programming method,
in which two kinds of random variables, i.e., continuous ones and discrete ones,
are considered, respectively. Under the assumption that the decision maker has fuzzy goals not only for the original objective functions but also for the expectations of shortages and excesses for the violation of the equality constraints, the Pareto optimality concept is introduced, and two interactive fuzzy decision making methods are proposed to obtain a satisfactory solution from among an Pareto optimal solution set. The proposed method is applied to a farm planning problem in the Philippines,
in which it is assumed that an amount supplied of water resource in dry season is represented as a continuous or discrete random variable.
Keywords: multiobjective programming; simple recourse programming; satisfactory solution; interactive decision making; permissible levels.
A joint maxmin-lexicographic maximization approach in fuzzy goal programming using dominance possibility and necessity criteria
by Maged Iskander
Abstract: In this paper, a new approach for solving fuzzy goal programming problems is introduced. The coefficients and the aspiration level of each fuzzy goal are considered either trapezoidal or triangular fuzzy numbers. Four dominance criteria (dominance possibility, strict dominance possibility, dominance necessity, and strict dominance necessity) are utilized for comparing the fuzzy numbers. The proposed approach is based on lexicographic maximization technique. It consists of two main phases. The first phase applies the maxmin technique by maximizing the minimum achievement degree of the fuzzy goals. The second phase maximizes the achievement degrees of the fuzzy goals according to their preemptive priorities. This methodology provides the decision maker with the advantage of improving the results of his preemptive priority structure model by initially maximizing the lowest achievements of his goals, and hence guarantee that the ultimate achievement of any goal will never be worse than that. Moreover, different dominance criterion can be used if the results of any one are unsatisfactory and the preemptive priority scheme cannot be changed. The advantages of the suggested approach are illustrated by a numerical example.
Keywords: fuzzy goal programming; fuzzy numbers; dominance criteria; dominance possibility; strict dominance possibility; dominance necessity; strict dominance necessity; maxmin approach; Lexicographic maximization technique.
Special Issue on: New Methodological and Practical Developments of the PROMETHEE Methods
A PROMETHEE-based approach for designing the reuse of an abandoned railway in the Monferrato Region (Italy)
by Marta Carla Bottero, Federico Dell'Anna, Gian Luca Gobbo
Abstract: The paper considers the decision problem related to the reuse of an abandoned railway for the creation of a new infrastructure in the Monferrato Region (Northern Italy). The project represents an important opportunity for the economic survival of the area, contributing to valorise local resources and to promote cultural values.
With the aim of addressing the design of the reuse plan, a multi-criteria evaluation based on the PROMETHEE method has been developed for the selection of the best functions to be considered for the various station buildings along the line. The assessment was supported by an experts panel that contributed to define the decision scenarios and to identify the importance of the evaluation criteria.
Keywords: multi-criteria analysis; strategic assessment; railway reuse; greenway; multi-actors’ analysis; landscape; experts’ panel; SRF method; sustainable tourism.
Proposal for an effective Decision Support System for the Pre-Selection of the Type of Concrete Highway Bridges
by Nikolaos Tegos, George Aretoulis
Abstract: In the Preliminary Design Phase of a concrete highway bridge project, a critical question arises concerning the pre-selection of the most suitable bridge type. The answer is related not only to Cost-effectiveness, but also to the satisfaction of a number of conflicting compliance criteria. Therefore, the development of a reliable Decision Support System with respect to that kind of selection is an important research objective. In the context of this study, all contemporary construction capabilities for concrete highway bridges are defined. Furthermore, certain evaluation criteria governing the design of bridges are established. These criteria are then weighted and incorporated within two Multicriteria analysis methods. Through the application of these methods, the respective optimal selection of the bridge type can be achieved, among a number of potentially suitable alternatives. Additionally, the implementation of the proposed Decision Support System was deemed necessary in a case study of a famous bridge in Greece.
Keywords: Decision Support System; Concrete Highway Bridges; Pre-selection; Decision making; Multicriteria analysis; Compliance criteria; Analytic Hierarchy Process; PROMETHEE Method; Bridge Construction methods; Case study.
An interpolation-based method for the time weighed vector elicitation in temporal PROMETHEE II applications
by Issam Banamar
Abstract: Many real-life decision problems are time-dependant, they cannot be effectively addressed with the classic multi-criteria decision aid methodology which deals with static problems. In fact, comparing time-dependant alternatives (possible decisions, actions,) may require several assessments spaced in time. If the aim is to rank these alternatives by aggregating their periodic assessments, one would wonder how to weigh these assessments with respect to the time scale. The purpose of this paper is to set the relative weights associated with the time scale. More specifically, this paper tackles the elicitation of the instantaneous weights required in temporal PROMETHEE II by using a novel method based on interpolation. Assuming that each periodic assessment has a relative temporal weight, the proposed method derives, from the decision maker, a subset of these weights. Then the remained ones are found by an appropriate linear interpolation. Simulation results show that a few elicited weights are sufficient to determine an effective approximation of the whole set of the desired temporal weights.
Keywords: Multi-criteria decision aid; PROMETHEE II; time-dependent evaluations; preference elicitation.
Special Issue on: Multiple Criteria Decision Aid Advances in Theory and Applications
An extension of PROMETHEE II to temporal evaluations
by Issam Banamar, Yves De Smet
Abstract: Conventional PROMETHEE methods help decision makers to manage problems without considering temporal evaluations. The aim of this paper is to introduce a temporal extension of PROMETHEE II. A new approach to set the dynamic thresholds is introduced. The weighted arithmetic mean is used to aggregate net flow scores over time. In addition, an interactive query method is developed in order to determine decision maker's instances importance. Simulation results are used to show the effectiveness of this approach in terms of convergence and speed. Finally, an example is given to illustrate the model.
Keywords: Multicriteria decision aid; temporal evaluations; outranking methods; PROMETHEE; GAIA.
A Decision Aid Methodology to compare Patient Classification Systems
by Jaime Manera Bassa
Abstract: Spanish Public Hospitals funding depends on the classification of attended pathologies. These pathologies are grouped thanks to a Patients Classification System (PCS) into the so-called Diagnostic Related Groups (DRGs). International Classification of Diseases (ICD) coding systems generate various DRGs. Based on the ICD-9, the All Patients Diagnostic Related Groups (AP-DRGs) were used. In January 2016, the change from ICD-9 to ICD-10, had, as a maj o r consequence, the loss of validity of the AP-DRG. Another classification system had to be adopted following ICD-10 and the All Patients Refined DRGs (APR-DRG) was chosen. We consider that a study would have been useful in order to determine which PCS was more appropriate to substitute the older AP-DRG. In this paper we use a comparative multicriteria methodology to analyse and propose recommendations when replacement of a PCS is needed. The methodology is applied to a case study of a Spanish Hospital where the change from ICD-9 to ICD-10 has already occurred.
Keywords: Hospital management; Patients Classification System (PCS); Multicriteria Evaluation.
Combining the PROMETHEE method and mathematical programming for multi-objective facility location problem
by Mohamed Ali Elleuch, Ahmed Frikha
Abstract: The decision making concerning where to locate new facilities is crucial in
designing distribution networks. In the present study, the supply chain concept and the multi-objective facility location problem were studied. We integrated also Multi-Criteria Decision Analysis (MCDA) and Linear Programming Model (LPM) methods to support selection of best sites according many objectives. In addition, facility location decision involves both qualitative and quantitative criteria. In order to select the best location, it is often necessary to compromise possibly conflicting tangible and intangible factors. The major weaknesses of the different multi-objective programming models used to solve the problem are that they are basically mathematical and they ignore qualitative objectives, such as the environmental and socio-economic factors which are important in facility location selection. In this paper, we reported the obtained results when applying an integrated MCDA /LPM approach to solve the Facility Location Problem (FLP) for an aluminum company in Tunisia. We combined three methods, Preference-Ranking Organization Method for Enrichment Evaluation (PROMETHEE) and a Linear Programming Model (LPM), using the Stretching and Shrinking Graphs method (SSG method).
Keywords: Multi-Criteria Decision Analysis; PROMETHEE; Linear Programming Model; SSG method; Facility Location Problem.
A multicriteria analysis to assess the pollution in the southern coastal area of Sfax
by Zaher Drira, Mohamed Ayman Boujelben, Habib Ayadi
Abstract: The coastal marine area of Sfax (Tunisia) is a well-known zone by its high productivity and fisheries. However, it is threatened by a variety of pollution sources contributing to a degradation of the water quality. In this paper, a study involving 20 stations and 23 physico-chemical and biogeochemical parameters is proposed. Due to the multicriteria nature of the problem, De Smet et al.s method is used to assess the pollution level in this coastal area. The application of this approach leads to 3 groups of stations representing low, average and high pollution levels. The results show that PO43-, BOD5, COD, Mn2+, Cl- and SO42- are the main factors of the high pollution level. In addition, they reveal that the SIAPE discharges and the phosphogypsum wastes are the main source of PO43-, Cl- and SO42- which explain the high COD. Thus, an urgent action leading to stop the loading of these industrial wastes into the sea is a necessity in order to reduce the pollution and to avoid its propagation.
Keywords: Southern coast of Sfax; Anthropogenic inputs; Pollution assessment; Multicriteria clustering; De Smet et al.’s method.
A strategic management based on multicriteria decision analysis: an application for the Alpine Regions
by Alessandra Oppio, Marta Bottero
Abstract: Starting from the case of the Alpine huts located in the Sondrio Province of the Lombardy Region (Italy), the paper proposes an integrated evaluation framework for addressing the need of the Italian Alpine Club to efficiently allocate economic resources in the context of the huts management. The evaluation has been based on the combination of Spatial Multicriteria Analysis and PROMETHEE method with the aim of defining the most suitable mountain huts to be renovated and valorized. The Spatial Multicriteria Analysis model has allowed to evaluate the huts system at a territorial macro-scale, putting in evidence the areas with the highest potentialities and those suffering from major risks, while the PROMETHEE application has been targeted to the examination of the huts at a micro-scale, selecting the huts in need of requalification with reference to a set of environmental and functional criteria. The results of the two aforementioned approaches have been merged with the aim of providing an aggregated evaluation of the overall system.
Keywords: Sustainable tourism; Resource allocation; PROMETHEE; Spatial Multicriteria Analysis; Experts’ panel.
Inferring an ELECTRE I model from binary outranking relations
by Hela Moalla Frikha, Sawsan Charfi
Abstract: Multi-criteria decision making (MCDM) consists in choosing, ranking or sorting alternatives belonging to a finite set and evaluated according to several and usually conflicting criteria. Criteria weights play a crucial role in the decision process since they express the importance of the considered criteria as seen by the decision maker (DM). However, these weight values, assigned directly by the DM, are subjective and little reliable as they are based only on his experience, his intuition and his psychological state. To overcome the subjectivity problem, several methods are developed to infer criteria weights from DM judgments. The aim of this paper is to develop an approach eliciting ELECTRE I criteria weights using binary outranking relations furnished by the decision-maker and taking support on mathematical programming.
Keywords: Multi-criteria decision aid; Criteria weights; Preference disaggregation; subjectivity; ELECTRE method.
A Linguistic Reliable Quality Function Deployment Method for the healthcare sector
by Nesrin Halouani
Abstract: The assessment of the healthcare organization is very important to maintain the system performance for serve high quality service in hospitals with patient healthy treatment and satisfaction. This study focus on the definition of risk management tool for dialysis service due to legal regulations in occupational health and safety. Identifying and grading risks address to provide actions in methodological way to eliminate the risks and help to improve work processes. One of the biggest problems in risk management methods is being dependent of evaluators initiative.rnThis study uses the 2-tuple representation model to solve group decision making problem based on linguistic information since it can avoid information distortion and loss. A real case study of dialysis service is implemented using the proposed method.rn
Keywords: Risk; Reliability; RQFD; Linguistic variable; 2-tuple model.