Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/1391 2021 2021 Department of Computer Science and Engineering, Gandhi Institute of Technology and Management-Visakhapatnam, Andhra Pradesh 530045, India Prem Kumar Singh Recently, the data with Turiyam set is introduced for precise representation of human cognition. It gives a way to represent the conscious, unconscious, indeterminate and superconscious state of quantum cognition. In this way, the Turiyam set given a way to represent the human cognition in a democratic system like India where people support a party, reject the party, absent and support NOTA. In similar way conflict among two people can be represented via four way like there is conflict, no conflict, partially conflict or uncertainty about conflict, and last nothing unknown to each other. The precise representation of these types of data which changes at every given phase of time. To deal with these types of human cognition and its quantum state Quaternion set is introduced in this paper. 2022 2022 57 64 10.54216/JNFS.040205 https://www.americaspg.com/articleinfo/24/show/1391