Anti-Fuzzy AB-Ideals

Lee   Sassanapitax; Boonyong   Sriponpaew

Authors

Lee Sassanapitax Mathematics Department, Faculty of Science, Burapha University
Boonyong Sriponpaew Mathematics Department, Faculty of Science, Burapha University

Keywords:

AB-algebras , fuzzy ideals , anti-fuzzy ideals

Abstract

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 value-based 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.