International Journal of Multicriteria Decision Making (6 papers in press)
A Multi-criteria Decision Making Model for the Optimal Planning of Municipal Solid Waste under Uncertainty
by Syed Muneeb, Ahmad Yusuf Adhami, Zainab Asim
Abstract: This paper presents a decision making model to effectively allocate the flow of waste under the restrictions of transportation, inventory holdings, waste treatment and disposal operations. The model considers the objectives of minimizing total cost and delivery time as well as maximizing the revenue generated from the waste treatment. To handle the uncertainties waste generation rates are considered as normal random variables. Weighted fuzzy programming is used to generate the compromise solutions. To illustrate and justify the applicability and efficiency of proposed model, a numerical illustration is also provided. Finally, different set of solutions are also obtained based on varying weights or preferences assigned to different objective functions. The proposed network involves all of the links included in a waste management system from the waste generators to the disposals and therefore is highly useful for decision makers to increase the efficiency of the existing waste management systems. On the practical concern, the proposed model also provides an avenue to explore the decision making when different priorities are taken into consideration for different objectives. The study did not consider different types of waste and their associated waste treating facilities which make the system more complex. The model could be advanced further by considering stochastic or fuzzy uncertainties in different parameters of the problem. Moreover incorporation of multi-level, multi-waste concepts into the proposed model could also be considered as the future perspectives of the present study.
Keywords: Solid waste management; revenue; multi-objective programming; stochastic programming.
A joint maxmin-lexicographic maximisation approach in fuzzy goal programming using dominance possibility and necessity criteria
by Maged G. 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 utilised for comparing the fuzzy numbers. The proposed approach is based on merging the maxmin approach and the lexicographic approach in a two-phase process. The first phase applies the maxmin technique by maximising the minimum achievement degree of the fuzzy goals. The second phase lexicographically maximises 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 maximising the lowest achievement of the fuzzy goals, and hence guarantee that the ultimate achievement of any fuzzy goal will never be lower than a specific percentage of the achieved maxmin value. The suggested approach is 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 maximisation technique.
PROMETHEE-MP: a generalisation of PROMETHEE for multi-period evaluations under uncertainty
by Bruno Urli, Anissa Frini, Sarah Ben Amor
Abstract: Sustainability is a major concern and decisions have to be made based on the triple bottom line while simultaneously evaluating the economic, social and environmental impacts. In this context, decisions generally have a planning horizon of several years or even decades and consequently need to be evaluated in the short, medium and long term under uncertainty. This paper intends to tackle this complexity and proposes a multi-period generalisation of PROMETHEE under uncertainty, named PROMETHEE-MP, which is based on a double aggregation (a multi-criteria aggregation and a temporal aggregation), followed by an exploitation phase. The multi-criteria aggregation step uses a generalisation of PROMETHEE III in a situation of random uncertainty with intervals generated by Monte Carlo simulation. For temporal aggregation, we use a measure of distance between pre-orders that captures indifference, strict preference, weak preference and incomparability relations. Finally, we illustrate the proposed PROMETHEE-MP in the context of sustainable forest management.
Keywords: multi-period evaluation; PROMETHEE; Monte Carlo simulations; sustainability; uncertainty.
Special Issue on: New Methodological and Practical Developments of the PROMETHEE Methods
Proposal for an effective decision support system for the pre-selection of the type of concrete highway bridges
by Nikolaos I. Tegos, Georgios N. 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.
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; Italy.
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. This paper introduces a novel method -based on interpolation- for the elicitation of the periodic weights required in temporal PROMETHEE II. 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.