Deriving decision maker’s weights based on distance measure for interval-valued intuitionistic fuzzy group decision making

Generalized cross-entropy based group decision making with unknown expert and attribute weights under interval-valued intuitionistic fuzzy environment

“…However, just only few works have been carried out and all unanimously emphasized the utilization of objective information in IVIF decision matrices to derive appropriate expert weights. Such as, the nonlinear optimization models by minimizing the divergence between individual opinions and group opinions (Xu & Cai, 2010a), the method for deducing expert weights according to the distances between individual matrices and mean-value group decision matrices (Chen & Yang, 2011), the method depending on divergence between individual matrices and ideal group decision matrices (Yue, 2011a), and the models based on traditional IVIF entropies (Ye, 2013) without considering preference on hesitation degrees, but there is still no research till now that investigates approaches for obtaining expert weights objectively through cross-entropy measure to utilize preference information in IVIF decision evaluations more comprehensively.…”

Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean

“…The example is about the air quality evaluation of Guangzhou for the 16th Asian Olympic Games (adapted from Yue [22]). The measured values from air quality monitoring stations under these attributes are shown in Tables 1, 2, and 3, and they can be expressed by SVNNs (Note: the original data take the form of interval-valued intuitionistic fuzzy numbers; then, we can obtain the intuitionistic fuzzy numbers by averaging the upper and lower of interval numbers in membership and non-membership of IVIFNs.…”

Interval-valued intuitionistic fuzzy multi-criteria group decision making based on cross entropy and 2-additive measures

“…Such a generalization further facilitates effectively representing inherent imprecision and uncertainty in the human decision-making process. Recently, the application of interval-valued intuitionistic fuzzy sets for solving various decision-making problems has been received considerable attentions (Atanassov 1994;Chen et al 2011;Li et al 2010a;Li 2011a,b;Nayagam and Sivaraman 2011;Park et al 2011;Xu and Chen 2007a,b;Yue 2011).…”