Extensions of LINMAP model for multi criteria decision making with grey numbers

Autor: Seyed Hossein Razavi Hajiagha, Shide Sadat Hashemi, Edmundas Kazimieras Zavadskas, Hadi Akrami
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Technological and Economic Development of Economy, Vol 18, Iss 4 (2012)
Druh dokumentu: article
ISSN: 20294913
2029-4913
2029-4921
DOI: 10.3846/20294913.2012.740518
Popis: The linear programming technique for multidimensional analysis of preference, known as LINMAP is one of the existing well-known ideal seeking methods for multi attribute decision making problems. This method originally is proposed under crisp and deterministic circumstances. However, uncertainty is an indubitable property of decision making problems. In this paper, a new version of LINMAP-G is proposed where the decision maker's judgments are expressed as grey numbers. Like original LINMAP method, the grey ideal solution and attributes weight vector is determined and alternatives are ranked according to their weighted distance from determined ideal point. Application of the proposed method is illustrated in two numerical examples.
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