publication . Article . 2012

NONLINEAR ASSIGNMENT-BASED METHODS FOR INTERVAL-VALUED INTUITIONISTIC FUZZY MULTI-CRITERIA DECISION ANALYSIS WITH INCOMPLETE PREFERENCE INFORMATION

TING-YU CHEN;
Open Access
  • Published: 01 Jan 2012 Journal: International Journal of Information Technology and Decision Making, volume 11, issue 4, pages 821-855
Abstract
In the context of interval-valued intuitionistic fuzzy sets, this paper develops nonlinear assignment-based methods to manage imprecise and uncertain subjective ratings under incomplete preference structures and thereby determines the optimal ranking order of the alternatives for multiple criteria decision analysis. By comparing each interval-valued intuitionistic fuzzy number's score function, accuracy function, membership uncertainty index, and hesitation uncertainty index, a ranking procedure is employed to identify criterion-wise preference of alternatives. Based on the criterion-wise rankings and a set of known but incomplete information about criterion wei...
Subjects
free text keywords: Interval-valued intuitionistic fuzzy set, incomplete preference, multiple criteria decision analysis, nonlinear assignment model, integrated nonlinear programming model, 62C86, 90B50
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