A complex proportional assessment method for group decision making in an interval-valued intuitionistic fuzzy environment

• Main Authors: Seyed Hossein Razavi Hajiagha, Shide Sadat Hashemi, Edmundas Kazimieras Zavadskas
• Format: Article
• Language: English
• Published: Vilnius Gediminas Technical University 2013-04-01
• Series: Technological and Economic Development of Economy
• Subjects: multiple criteria decision making; uncertainty; COPRAS; interval valued intuitionistic fuzzy sets
• Online Access: https://journals.vgtu.lt/index.php/TEDE/article/view/4229

Multi-criteria decision making is an implicational field that concerns with selecting or designing the best scenarios among a finite set of scenarios based on a finite set of criteria. Different methods and techniques for handling this issue have been proposed. Complex proportional assessment is an analytical tool for solving multi-criteria decision making problems. Originally, the COPRAS method has been developed for decision making under a deterministic environment. Since uncertainty is an unavoidable property of decision making due to a lack of knowledge, this paper suggests an extended form of the COPRAS method used for group decision making problems in an uncertain environment where such uncertainty is captured through a generalized form of fuzzy sets - the so called interval valued intuitionistic fuzzy sets. An algorithmic scheme for the COPRAS-IVIF method has been introduced thus examining its application with reference to two numerical examples. It seems that the recommended framework of COPRAS-IVIF can be satisfactorily implemented in decision making problems under ambiguous and ill-defined conditions.