QAYTMAS TO‘PLAMLAR USTIDA AMALLARNING XUSUSIYATLARI
Keywords:
Qaytmas to‘plamlar, sun’iy intellekt, matematik amallar, qaror qabul qilish tizimlari, optimallashtirish, ma’lumotlar bazasi, dasturiy ta’minot, ma’lumotlar xavfsizligi, qaytmas amallar, to‘plam nazariyasi.Abstract
Ushbu maqola qaytmas to‘plamlar va ular ustida bajariladigan amallarning matematik xususiyatlarini, shuningdek, ularning sun’iy intellekt sohalaridagi qo‘llanilishini tahlil qiladi. Maqola qaytmas to‘plamlarning tushunchasi, ular ustida bajariladigan asosiy amallar, amallarning xususiyatlari va bu to‘plamlarning sun’iy intellekt, qaror qabul qilish tizimlari va optimallashtirish muammolari kabi sohalarda qo‘llanilishi haqida batafsil ma’lumot beradi. Maqolaning maqsadi, qaytmas to‘plamlarning ilmiy va amaliy ahamiyatini ta’kidlash va kelajakdagi tadqiqotlar yo‘nalishlarini belgilashdir.
References
Potter, Michael. Set Theory and its Philosophy. Oxford University Press, 2004.
Rosen, Kenneth H. Discrete Mathematics and its Applications. McGraw-Hill Education, 7th edition, 2011.
Elmasri, Ramez, and Navathe, Shamkant B. Fundamentals of Database Systems. Pearson, 7th edition, 2015.
Russell, Stuart, and Norvig, Peter. Artificial Intelligence: A Modern Approach. Pearson, 3rd edition, 2010.
Halmos, Paul R. Naive Set Theory. Springer, 1974.
Mendelson, Elliott. Introduction to Mathematical Logic. Chapman and Hall/CRC, 6th edition, 2015.
Jech, Thomas. Set Theory. Springer Monographs in Mathematics, 3rd edition, 2006.
Enderton, Herbert B. Elements of Set Theory. Elsevier, 1977.
Devlin, Keith. The Joy of Sets: Fundamentals of Contemporary Set Theory. Springer, 2nd edition, 1993.
Lipschutz, Seymour, and Lipson, Marc. Schaum’s Outline of Set Theory and Related Topics. McGraw-Hill, 1998.
Smullyan, Raymond M., and Fitting, Melvin. Set Theory and the Continuum Problem. Oxford University Press, revised edition, 2010.
Barwise, Jon, and Etchemendy, John. The Liar: An Essay on Truth and Circularity. Oxford University Press, 1987.
Kunen, Kenneth. Set Theory: An Introduction to Independence Proofs. Elsevier, 1980.
Martin, John N., Introduction to Languages and the Theory of Computation. McGraw-Hill, 4th edition, 2010.
Sipser, Michael. Introduction to the Theory of Computation. Cengage Learning, 3rd edition, 2012.
Тожимаматов, И. Н. (2023). ЗАДАЧИ ИНТЕЛЛЕКТУАЛЬНОГО АНАЛИЗА ДАННЫХ. PEDAGOG, 6(4), 514-516.
Muqaddam, A., Shahzoda, A., Gulasal, T., & Isroil, T. (2023). NEYRON TARMOQLARDAN FOYDALANIB TASVIRLARNI ANIQLASH USULLARI. SUSTAINABILITY OF EDUCATION, SOCIO-ECONOMIC SCIENCE THEORY, 1(8), 63-74.
Raximov, Q. O., Tojimamatov, I. N., & Xo, H. R. O. G. L. (2023). SUNIY NЕYRON TARMOQLARNI UMUMIY TASNIFI. Scientific progress, 4(5), 99-107.
Ortiqovich, Q. R., & Nurmamatovich, T. I. (2023). NEYRON TARMOQNI O ‘QITISH USULLARI VA ALGORITMLARI. Scientific Impulse, 1(10), 37-46.
Tojimamatov, I. N., Mamalatipov, O., Rahmatjonov, M., & Farhodjonov, S. (2023). NEYRON TARMOQLAR. Наука и инновация, 1(1), 4-12.
Tojimamatov, I. N., Mamalatipov, O. M., & Karimova, N. A. (2022). SUN’IY NEYRON TARMOQLARINI O ‘QITISH USULLARI. Oriental renaissance: Innovative, educational, natural and social sciences, 2(12), 191-203.
Muqaddam, A., Shahzoda, A., Gulasal, T., & Isroil, T. (2023). NEYRON TARMOQLARDAN FOYDALANIB TASVIRLARNI ANIQLASH USULLARI. SUSTAINABILITY OF EDUCATION, SOCIO-ECONOMIC SCIENCE THEORY, 1(8), 63-74.
Raximov, Q. O., Tojimamatov, I. N., & Xo, H. R. O. G. L. (2023). SUNIY NЕYRON TARMOQLARNI UMUMIY TASNIFI. Scientific progress, 4(5), 99-107.
Raxmatjonova, M. N., & Tojimamatov, I. N. (2023). BIZNESDA SUNIY INTELEKT TEXNOLOGYALARI VA ULARNI AHAMIYATI. Лучшие интеллектуальные исследования, 11(3), 46-52.
Nurmamatovich, T. I. (2024, April). BIR QATLAMLI PERCEPTRONNI O ‘QITISH. In " CANADA" INTERNATİONAL CONFERENCE ON DEVELOPMENTS İN EDUCATİON, SCİENCESAND HUMANİTİES (Vol. 17, No. 1).
Tojimamatov, I., & Jo‘rayeva, M. (2024). BOLSMAN MASHINASI VA UNING AHAMIYATI. Development and innovations in science, 3(4), 154-160.
Nurmamatovich, T. I., & Nozimaxon, E. (2024). Chiqish qatlami vaznlarni sozlash va xatoliklarni teskari tarqalishi algoritmi. ILM FAN XABARNOMASI, 1(1), 29-35.
Nurmamatovich, T. I. (2024, April). BIR QATLAMLI PERCEPTRONNI O ‘QITISH. In " CANADA" INTERNATİONAL CONFERENCE ON DEVELOPMENTS İN EDUCATİON, SCİENCESAND HUMANİTİES (Vol. 17, No. 1).
Nurmamatovich, T. I. (2024, April). SUN’IY NEYRONNING MATEMATIK MODELI HAMDA FAOLLASHTIRISH FUNKTSIYALARI. In " USA" INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE TOPICAL ISSUES OF SCIENCE (Vol. 17, No. 1).
