aspg-24-1554-1791485109 20261008184509 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6430 2771-6449 2023 5 1 Pritpal Singh Deep Learning Lab, Department of Data Science and Analytics, Central University of Rajasthan, Ajmer 305817, Rajasthan India Recently, precise measurement of uncertainty of data with fuzzy attributes is considered as one of the main problems. For this purpose, fuzzy sets, intuitionistic fuzzy sets, and neutrosophic set theory are extensively introduced. The problem arises in computing the complement of true or false membership values in the case of indeterminacy. Instead of indeterminacy as discussed in neutrosophic set theory, it can be completely true, partially true, or partially false. To deal with this, the theory of ambiguous sets has recently been introduced. A real-time example of dealing with unconsciousness and ambiguousness in relation to human perception is discussed, illustrating the motivation of the ambiguous set theory. Finally, this study focuses on the definition of the ambiguous set, its mathematical representation, and the associated concepts. 2023 52 58 1554 https://creativecommons.org/licenses/by/4.0/ 10.54216/JNFS.050106 https://www.americaspg.com/journal/24/article/1554 https://www.americaspg.com/storage/11676674064.pdf