{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:54:11Z","timestamp":1760147651100,"version":"build-2065373602"},"reference-count":51,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2023,2,22]],"date-time":"2023-02-22T00:00:00Z","timestamp":1677024000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>A computer vision model known as a generative adversarial network (GAN) creates all the visuals, including images, movies, and sounds. One of the most well-known subfields of deep learning and machine learning is generative adversarial networks. It is employed for text-to-image translations, as well as image-to-image and conceptual image-to-image translations. Different techniques are used in the processing and generation of visual data, which can lead to confusion and uncertainty. With this in mind, we define some solid mathematical concepts to model and solve the aforementioned problem. Complex picture fuzzy soft relations are defined in this study by taking the Cartesian product of two complex picture fuzzy soft sets. Furthermore, the types of complex picture fuzzy soft relations are explained, and their results are also discussed. The complex picture fuzzy soft relation has an extensive structure comprising membership, abstinence, and non-membership degrees with multidimensional variables. Therefore, this paper provides modeling methodologies based on complex picture fuzzy soft relations, which are used for the analysis of generative adversarial networks. In the process, the score functions are also formulated. Finally, a comparative analysis of existing techniques was performed to show the validity of the proposed work.<\/jats:p>","DOI":"10.3390\/sym15030577","type":"journal-article","created":{"date-parts":[[2023,2,23]],"date-time":"2023-02-23T03:25:56Z","timestamp":1677122756000},"page":"577","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Prediction Model of a Generative Adversarial Network Using the Concept of Complex Picture Fuzzy Soft Information"],"prefix":"10.3390","volume":"15","author":[{"given":"Sami Ullah","family":"Khan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, KPK, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0418-193X","authenticated-orcid":false,"given":"Esmail Hassan Abdullatif","family":"Al-Sabri","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Arts, Muhayl Assir, King Khalid University, Abha 62529, Saudi Arabia"},{"name":"Department of Mathematics and Computer, Faculty of Science, Ibb University, Ibb 70270, Yemen"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7080-3824","authenticated-orcid":false,"given":"Rashad","family":"Ismail","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Arts, Muhayl Assir, King Khalid University, Abha 62529, Saudi Arabia"},{"name":"Department of Mathematics and Computer, Faculty of Science, Ibb University, Ibb 70270, Yemen"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6416-8097","authenticated-orcid":false,"given":"Maha Mohammed Saeed","family":"Mohammed","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"}]},{"given":"Shoukat","family":"Hussain","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, KPK, Pakistan"}]},{"given":"Arif","family":"Mehmood","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, KPK, Pakistan"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","article-title":"Fuzzy Sets","volume":"8","author":"Zadeh","year":"1965","journal-title":"Inf. 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