Interval-Valued Intuitionistic (T, S)-Fuzzy Subsemirings in Semirings
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Abstract
In this paper, we introduce the notion of an interval-valued intuitionistic (T, S)-fuzzy subsemirings and investigate some of the properties. Finally, we study under homomorphism, anti-homomorphism and prove some results on these.
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References
- M. Shabir, T.Mahmood, Hemirings Characterized by the Properties of Their Fuzzy Ideals With Thresholds, Quasigroups Related Syst. 18 (2010), 195–212.
- K. Umadevi, A Study on Fuzzy and Intuitionistic Fuzzy Subhemiring of a Hemiring With Respect to $(t, s)$ Norm, Thesis, Manonmaniam Sundaranar University, (2016).
- K.H. Kim, Interval-Valued Intuitionistic $(S^ast, T^ast)$-Fuzzy Bi-Ideal of Semigroup, Sci. Math. Jpn. e-2010 (2010), 29–35.
- S. Abdullam, M. Aslam, S. Hussain, Interval Valued $(alpha, beta)$-Intuitionistic Fuzzy Bi-Ideal of Semigroup, J. Appl. Math. Inform. 34 (2016), 115–143.
- M. Shabir, N. Malik, T. Mahmood, On Interval Valued Fuzzy h-Ideals in Hemirings, East Asian Math. J. 28 (2012), 49–62. https://doi.org/10.7858/eamj.2012.28.1.049.
- T. Mahmood, Characterization of $h$-Hemiregular and $h$-Semiprime Hemiring by Interval Value $overline{varepsilon},overline{varepsilon}veeoverline{q}$-Fuzzy $h$-Ideals, The Nucleus 51 (2014), 19–27.
- V. Saravanan, D. Sivakumar, a Study on Intuitionistic Fuzzy Subsemiring of a Semiring, Elixir Appl. Math. 46 (2012), 8552–8556.
- N. Anitha, K. Arjuan, Notes on Intuitionistic Fuzzy Ideals of a Hemiring, Appl. Math. Sci. 5 (2011), 3393–3402.
- H. Hedayati, Intuitionistic $(S, T)$-Fuzzy $(1, 2)$-Ideals of Semigroups with Interval Valued Membership Functions, Int. J. Fuzzy Syst. 14 (2012/03), 154–159.
- J.Y. Ahn, K.S. Han, S.Y. Oh, C.D. Lee, An Application of Interval-Valued Intuitionistic Fuzzy Sets for Medical Diagnosis of Headache, Int. J. Innov. Comput. Inf. Control 7 (2011), 2755–2762.
- N. Yaqoob, M. Khan, M. Akram, A. Khan, Interval-Valued Intuitionistic $(overline{S}, overline{T})$-Fuzzy Ideals of Ternary Semigroups, Indian J. Sci. Technol. 6 (2013), 5418–5428.
- H. Hedayati, Equivalence Relations Induced by Interval Valued $(S, T)$-Fuzzy $h$-Ideals ($k$-Ideals) of Semirings, World Appl. Sci. J. 9 (2010), 1–13.