AB-ไอดีลแบบแอนติวิภัชนัย
Anti-Fuzzy AB-Ideals
Keywords:
พีชคณิตแบบ AB , ไอดีลแบบวิภัชนัย , ไอดีลแบบแอนติวิภัชนัย, AB-algebras, fuzzy ideals, anti-fuzzy idealsAbstract
ในบทความนี้แนวคิดของไอดีลแบบแอนติวิภัชนัยของพีชคณิตแบบ AB ได้รับการแนะนำ และผลลัพธ์ที่เกี่ยวข้องได้รับการพิสูจน์อีกทั้งเราได้ศึกษาลักษณะเฉพาะโดยใช้แนวคิดของสับเซตลำดับชั้นที่ต่ำกว่า ยิ่งไปกว่านั้นเราได้ให้คุณสมบัติของผลคูณคาร์ทีเซียนของไอดีลแบบแอนติวิภัชนัย In this paper, the concepts of anti-fuzzy AB-ideals of AB-algebras are introduced and some related results are proved. We also study their characterizations by using the concept of lower level subset. Furthermore, we provide the properties of the Cartesian product of anti-fuzzy AB-ideals.References
Ahmadi, H., Gholamzadeh, M., Leila Shahmoradi, Nilashi, M. & Rashvand, P. (2018). Diseases diagnosis using fuzzy logic methods. A systematic and meta-analysis review Computer Methods and Programs in Biomedicine, 161, 145-172.
Bajec, I.L. (2005). Fuzzy Model for a Computer Simulation of Bird Flocking. (PhD thesis) University of Ljubljana, Faculty of Computer and Information Science, Ljubljana, SI.
Bejarasco, R.D. & Gonzaga, N.C. (2019). On Homomorphisms of AB-algebras. Missouri J. of Math. Sci., 31(2), 121-129.
Chen, C., Wang, C., Wang, Y.T. & Wang, P.T. (2017). Fuzzy logic controller design for intelligent robots. Mathematical Problems in Engineering, 2017, 1-12.
Hameed, A.T. & Abbas, B.N. (2017). AB-ideals of AB-algebra. Applied Mathematical Sciences, 11(35), 1715-1723.
Hameed, A.T. & Abbas, B.N. (2018). Some Properties of Fuzzy AB-ideal of AB-algebras. Journal of Al-Qadisiyah for Computer Science and Mathematics, 10(1), 1-7.
Hüllermeier E. (2015). Does machine learning need fuzzy logic? Fuzzy Sets and Systems, 281, 292-299.
Kumar, A.S., (2013) Diagnosis of heart disease using advanced fuzzy resolution mechanism. International Journal of Science and Applied Information Technology, 2(2), 22–30.
Lee, S. Y., Ham, Y. K. & Park, R. H. (1996). Recognition of human front faces using knowledge based feature extraction and neuro-fuzzy algorithm. Pattern Recognition, 29(11), 1863–1876.
Pusztai, L., Kocsi, B. & Budai, I. (2019). Making engineering projects more thoughtful with the use of fuzzy valuebased project planning. Pollack Periodica, 14(1), 25-34.
Rosenfeld, A. (1971). Fuzzy groups. The Journal of Mathematical Analysis and Applications.,35, 512-517. Zadeh, L.A. (1965). Fuzzy sets, Inf. Cont., 8, 338-353.
