Hirose A (2012) Complex-valued neural networks, volume 400 Springer Science & Business Media Ullah K, Mahmood T, Ali Z, Jan N (2020) On some distance measures of complex Pythagorean fuzzy sets and their applications in pattern recognition. In: AIP conference proceedings, volume 1482, American Institute of Physics, pp 464–470 IEEE Trans Fuzzy Syst 10:171–186Īlkouri AMJS, Salleh AR (2012) Complex intuitionistic fuzzy sets. Ramot D, Milo R, Friedman M, Kandel A (2002) Complex fuzzy sets. IEEE Transactions on Pattern Analysis and Machine Intelligence Xiao F, Pedrycz W (2022) Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. Pan L, Deng Y (2022) A new complex evidence theory. IEEE Trans Pattern Anal Mach Intell 12:447–458 Smets P (1990) The combination of evidence in the transferable belief model. Sachan S, Almaghrabi F, Yang J-B, Xu D-L (2021) Evidential reasoning for preprocessing uncertain categorical data for trustworthy decisions: an application on healthcare and finance. 42 Princeton University Pressĭeng Y (2022) Random permutation set. Shafer G (1976) A mathematical theory of evidence, vol. Results of classification experiments indicate that results associated with the core parameter of complex-valued Deng entropy are more accurate than results associated with the core parameter of Deng entropy in some data sets.ĭempster A (1967) Upper and lower probabilities induced by a multivalued mapping. Finally, this article presents a classification experiment involving entropy. There are also a number of numerical examples illustrating the compatibility and effectiveness of the complex-valued Deng entropy. If the complex-valued mass function collapses into the probability distribution in real space, the complex-valued Deng entropy also collapses into Shannon entropy. In other words, complex-valued Deng entropy may collapse to classical Deng entropy if the complex-valued mass function collapses to a mass function in real space. Additionally, complex-valued Deng entropy is a generalization of the Deng entropy and Shannon entropy. It involves uncertainty related to phase angle information, inconsistency and non-specificity. Complex-valued Deng entropy effectively measures the uncertainty of the mass function in the complex-valued framework. It is therefore the main contribution of this paper to propose a complex-valued Deng entropy in the complex-valued evidence theory (One of the complex-valued models). Complex-valued models have been applied to several fields as a result of their advantages in modeling and processing uncertain information, but few studies have addressed the uncertainty associated with them.
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