Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 2

choquet integral Related Abstracts

2 Probability Fuzzy Aggregation Operators in Vehicle Routing Problem

Authors: Anna Sikharulidze, Gia Sirbiladze

Abstract:

For the evaluation of unreliability levels of movement on the closed routes in the vehicle routing problem, the fuzzy operators family is constructed. The interactions between routing factors in extreme conditions on the roads are considered. A multi-criteria decision-making model (MCDM) is constructed. Constructed aggregations are based on the Choquet integral and the associated probability class of a fuzzy measure. Propositions on the correctness of the extension are proved. Connections between the operators and the compositions of dual triangular norms are described. The conjugate connections between the constructed operators are shown. Operators reflect interactions among all the combinations of the factors in the fuzzy MCDM process. Several variants of constructed operators are used in the decision-making problem regarding the assessment of unreliability and possibility levels of movement on closed routes.

Keywords: Vehicle Routing Problem, associated probabilities of a fuzzy measure, choquet integral, fuzzy aggregation operator

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1 Multi-Criteria Evaluation for the Selection Process of a Wind Power Plant's Location Using Choquet Integral

Authors: Serhat Tüzün, Tufan Demirel

Abstract:

The objective of the present study is to select the most suitable location for a wind power plant station through Choquet integral method. The problem of selecting the location for a wind power station was considered as a multi-criteria decision-making problem. The essential and sub-criteria were specified and location selection was expressed in a hierarchic structure. Among the main criteria taken into account in this paper are wind potential, technical factors, social factors, transportation, and costs. The problem was solved by using different approaches of Choquet integral and the best location for a wind power station was determined. Then, the priority weights obtained from different Choquet integral approaches are compared and commented on.

Keywords: Fuzzy Sets, multi-criteria decision making, choquet integral, location of a wind power plant

Procedia PDF Downloads 211