Abstract
A new entropy on intuitionistic fuzzy sets (IF entropy) was proposed. Entropies for intuitionistic fuzzy sets are divided into four different groups according to their properties. The IF entropy defined in this study was obtained using the geometric approach and its most important feature is that it also takes into account the hesitation degree. This ensures that some of the disadvantages discussed for other entropies do not occur with the newly defined IF entropy. The unreliability in the results of IF entropy-based applications in some Multi Attribute Decision Making (MADM) or Multi Criteria Decision Making (MCDM) methods is actually a result of these limitations. For this reason, complex methods were also preferred for MADM/MCDM methods. Taking these situations into account, this study first demonstrated that the newly defined IF entropy is consistent. Then, the solution to two previously studied problems using real data was examined with the IF entropy based TOPSIS (IFEB-TOPSIS) method from the MADM/MCDM methods. Two different situations were analyzed in the selected problems. The first involved data from a study using the Bipolar Fuzzy TOPSIS and COPRAS methods on the tuberculosis risk of pregnant women without multiple criteria. The second was an example with multiple criteria, where some selected companies were analyzed in terms of risk and return according to different portfolios. Finally, the study aimed to show the place and consistency of the newly defined IF entropy in the literature. For this purpose, some existing entropies were selected. The results obtained using the IFEB-TOPSIS method for the two MADM and MCDM problems were compared with the new IF entropy.
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