Decision Making Models and Approaches Based on Intuitionistic Preference Relations

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In real-life situations, such as partner selection in supply chain management, and performance assessment of military systems, a decision maker may be unable to express accurately his/her preferences for alternatives, because ① the decision maker may not possess a precise or sufficient level of knowledge (i.e., lack of knowledge to a certain degree (Mitchell, 2004), and ② he/she is unable to discriminate explicitly the degree to which one alternative is better than the others (Herrera-Viedma et al., 2007), and so there is a certain degree of hesitation (Szmidt and Kacprzyk, 2000). The decision maker may express, to a certain degree, his/her preferences for alternatives, but it is possible that he/she is not so sure about it (Deschrijver and Kerre, 2003a). In these problems, it is very suitable to study the decision maker’s preferences using IFNs rather than exact numerical values or linguistic variables (Dai et al., 2007; Herrera et al., 2005; Szmidt and Kacprzyk, 2003; 2002; Xu, 2007c; 2007f; Xu and Chen, 2007a).