An extension of the Promethee II method based on generalized fuzzy numbers

Li, Weixiang; Li, Bangyi

doi:10.1016/j.eswa.2010.01.004

Cited by 76 publications

(25 citation statements)

References 19 publications

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“…PROMETHEE, developed by Brans and Vincke in 1980s to rank the alternatives using the outranking principle, is a collective name of the PROMETHEE family including PROMETHEE I (partial ranking), PROMETHEE II (complete ranking), PROMETHEE III (ranking based on intervals), PROMETHEE IV (continuous case), PROMETHEE V (PROMETHEE II and integer linear programming), PROMETHEE VI (weights of the criteria are intervals), and PROMETHEE GAIA (graphical representation of PROMETHEE) . One of the main advantages of PROMETHEE over other outranking methods is that the decision‐makers can easily understand the concepts and parameters inherent in the method, which makes it simpler to be operated, and consequently increases the effectiveness .…”

Section: Mathematical Methodsmentioning

confidence: 99%

Sustainability decision support framework for industrial system prioritization

Ren

Cao

et al. 2015

AIChE Journal

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A multicriteria decision-making methodology for the sustainability prioritization of industrial systems is proposed. The methodology incorporates a fuzzy Analytic Hierarchy Process method that allows the users to assess the soft criteria using linguistic terms. A fuzzy Analytic Network Process method is used to calculate the weights of each criterion, which can tackle the interdependencies and interactions among the criteria. The Preference Ranking Organization Method for Enrichment Evaluation approach is used to prioritize the sustainability sequence of the alternative systems. Moreover, a sensitivity analysis method was developed to investigate the most critical and sensitive criteria. The developed methodology was illustrated by a case study to rank the sustainability of five alternative hydrogen production technologies. The advantages of the developed methodology over the previous approaches were demonstrated by comparing the results determined by the proposed framework with those determined using the pervious approaches.

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Section: Mathematical Methodsmentioning

confidence: 99%

Sustainability decision support framework for industrial system prioritization

Ren

Cao

et al. 2015

AIChE Journal

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“…Giannopoulos and Founti (2010) presented improved version of the PROMETHEE method which incorporates a reliable fuzzy ranking method. Li and Li (2010) applied a new PROMETHEE II method by considering generalized fuzzy numbers. Tuzkaya et al (2010) presented alternative material handling equipment evaluation by fuzzy PROMETHEE method.…”

Section: Fuzzy Promethee Methodsmentioning

confidence: 99%

“…Multi Criteria Decision Making (MCDM) is a decision support system for evaluating and ranking discrete set of alternatives by considering conflicting criteria (Bilsel et al, 2006;Li & Li, 2010). Sometimes, the number of decision makers can be more than one, which leads us to group decision making process.…”

Section: Introductionmentioning

confidence: 99%

An alternative approach based on Fuzzy PROMETHEE method for the supplier selection problem

Adalı¹,

Işık²,

Kundakcı³

2016

10.5267/j.uscm

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In this paper, an alternative version of the fuzzy PROMETHEE (Preference Ranking Organization Method for Enrichment Evaluations) method is proposed. Differently from other studies, preference functions used in PROMETHEE method are handled in terms of fuzzy distances between alternatives with respect to each criterion. In order to indicate the applicability of this method, it is applied for a supplier selection problem in the literature. Ranking results are similar obtained by TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) and fuzzy ELECTRE (ELimination Et Choix Traduisant la REalité) methods. The implementation of the proposed method indicates that the amount of computations is decreased and decision makers can easily reach to desirable solution.

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“…The procedures of solving various tasks and multicriteria location problems with conventional PROMETHEE and modified approaches are discussed in many papers [4][5][6][7][8][9][10][11][12]. The mentioned methods do not introduce parameter values of complex alternative characteristics directly into the model, so there can exist a hierarchical structure of criteria.…”

Section: Introductionmentioning

confidence: 99%

Modified PROMETHEE Approach for Solving Multi-Criteria Location Problems with Complex Criteria Functions

et al. 2020

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The specific problem that occurs in multi-criteria decision-making (MCDM) processes is ranking a number of alternatives using complex criteria functions (the hierarchical structure of criteria) whose values must consider the impacts of all-important characteristics and parameters of alternatives. The problem becomes more complex by increasing the number of levels of sub-criteria functions (degree of decomposition). This paper proposes an extended procedure based on the mean values conversion of the net outranking flow of sub-criterion functions obtained by modified PROMETHEE methods. The actual value of criterion functions is used only at the last level, and transformed values of the net outranking flow for generating a final rank of alternatives are introduced at other levels. This procedure provides a more objective comparison of the impact of various individual criteria to rank the alternatives and easier making of unique solution, where the impact of decision-maker (DM) experience and subjective estimation is minimised in the selection. Applicability and practicability of the presented procedure for solving the selection problem of a logistics warehouse location are demonstrated in the analysis of a case study example.

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An extension of the Promethee II method based on generalized fuzzy numbers

Cited by 76 publications

References 19 publications

Sustainability decision support framework for industrial system prioritization

Sustainability decision support framework for industrial system prioritization

An alternative approach based on Fuzzy PROMETHEE method for the supplier selection problem

Modified PROMETHEE Approach for Solving Multi-Criteria Location Problems with Complex Criteria Functions

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