Complex Neutrosophic Subsemigroups and Ideals
Main Article Content
Abstract
In this article we study the idea of complex neutrosophic subsemigroups. We define the Cartesian product of complex neutrosophic subsemigroups, give some examples and study some of its related results. We also define complex neutrosophic (left, right, interior) ideal in semigroup. Furthermore, we introduce the concept of characteristic function of complex neutrosophic sets, direct product of complex neutrosophic sets and study some results prove on its.
Article Details
References
- Zadeh, L. A. Fuzzy Sets. Inf. Control, 8 (1965), 338-353.
- Atanassov, K. T. Intuitionistic Fuzzy Sets, Fuzzy Sets Syst. 20 (1986), 87-96.
- Kuroki, N. Fuzzy Bi-ideals in Semigroups. Comment. Math. Univ. St. Pauli, 27 (1979), 17-21.
- Wang, H. et al. Single Valued Neutrosophic Sets. Proc of 10th Int Conf on Fuzzy Theory and Technology, Salt Lake City, Utah (2005).
- Smarandache, F. A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and logic, Rehoboth; American Research Press (1999).
- Buckley, J. J. Fuzzy Complex Numbers. Fuzzy Sets Syst. 33 (1989), 333-345.
- Nguyen, H. T. Kandel, A. and Kreinovich, V. Complex Fuzzy Sets. Towards New Foundations, IEEE. (2000), 7803-5877.
- Ramot, D. Milo, R. Friedman, M. Kandel, A. Complex fuzzy sets. IEEE Trans. Fuzzy Syst. 10 (2002), 171-186.
- Sveinn, R. J. Haskoli Islands, Verkfraeoideild. Complex Fuzzy Sets. IEEE Trans. Fuzzy Syst. 10 (2002), 171 - 186.
- Zhang, G. Dillon, T. S. Cai, K. Y. Ma, J. and Lu, J. Operation Properties and δ-Equalities of Complex Fuzzy Sets. Int. J. Approx. Reason. 50 (2009), 1227-1249.
- Jun, Y. B. and Khan, A. Cubic Ideals in Semigroups. Honam Math. J. 35 (2013), 607-623.
- Abd Ulazeez, M. Alkouri, S. and Salleh, A. R. Complex Intuitionistic Fuzzy Sets. International Conference on Fundamental and Applied Sciences, AIP Conf. Proc. 1482 (2012), 464-470.
- Abd Ulazeez, M. Alkouri, S. and Salleh, A. R. Complex Atanassov's Intuitionistic Fuzzy Relation. Hindawi Publishing Corporation Abstr. Appl. Anal. 2013 (2013), Article ID 287382, 18pages.
- Ali, M and Smarandache, F. Complex Neutrosophic Set. Neural. Comput. Applic. 28 (2017), 18171834.
- Cetkin, V. and Aygun, H. An Approach to Neutrosophic Subgroup and its Fundamental Properties. J. Intell. Fuzzy Syst. 29 (2015), 1941-1947.
- Iseki, K. A characterization of regular semigroups, Proc. Japan Acad. 32 (1965), 676-677.
- Turksen, I. B. Interval-Valued Fuzzy Sets Based on Normal Forms. Fuzzy Sets Syst. 20 (1986), 191-210.