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Possibilistic programming approach for fuzzy multidimensional analysis of preference in group decision making

Authors
Journal
Applied Soft Computing
1568-4946
Publisher
Elsevier
Publication Date
Volume
8
Issue
4
Identifiers
DOI: 10.1016/j.asoc.2008.02.001
Keywords
  • Possibilistic Programming
  • Linmap
  • Multiple Objective Linear Programming
  • Fuzzy Madm
  • Group Decision Making
Disciplines
  • Computer Science
  • Linguistics

Abstract

Abstract Multiple attribute decision making (MADM) problems are the most encountered problems in decision making. Fuzziness is inherent in decision making process and linguistic variables are well suited to assessing an alternative on qualitative attributes using fuzzy rating. A few techniques in MADM assess the weights of attributes based on preference information on alternatives. But they are not practical any more when the set of all paired comparison judgments from decision makers (DMs) on attributes are not crisp and also we have to deal with fuzzy decision matrix. This paper investigates the generation of a possibilistic model for multidimensional analysis of preference (LINMAP). The model assesses the fuzzy weights as well as locating the ideal solution with fuzzy decision making preference on attributes and fuzzy decision matrix. All of the information is assumed as triangular fuzzy numbers (TFNs). This method is developed in group decision making environments and formulates the problem as a possibilistic programming with multiple objectives.

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