aspg-33-3831-1792226243 20261017083723 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 2025 12 1 Prem Kumar Singh Department of Computer Science and Engineering, Gandhi Institute of Technology and Management-Visakhapatnam, Andhra Pradesh 530045, India Recent time retraction analysis is considered as one of the major issues. The retraction is a regular process where some time it is true, some time happen due to conflict, some time due to indescribable parameters or last via self retraction by authors or Editor. It is happening due to pressure on academia and its quality measurement by quantitative publications and citation rather than qualitative. It forces researchers to add the co-authors for increment, promotion, or citation rather than focusing on true research. Some time the retraction happens due to self correction, genuine mistake or conflict of interest with editor. These types of genuine or self retraction happended using Turiyam awareness of authors or editor which can be considered as positive retraction. It is also noted that negative results are also part of the research as equal to positive or noble research. It is difficult to characterize these types of retraction. In this paper author has introduced a mathematical model for precise analysis of retracted paper and its characterization in true (t), false(f), indeterminant (i) and liberal (l) region for intellectual measurement. Same time the extension of work for undefined or unknown paramerters of retraction or unretraction is also discussed using the complement of Turiyam operator with an example. 2025 09 18 3831 https://creativecommons.org/licenses/by/4.0/ 10.54216/GJMSA.0120102 https://americaspg.com/journal/33/article/3831 https://americaspg.com/storage/articles/manuscripts/01M2RKRTCMK2AP411AV1M3J8X9.pdf