ผู้วิจัย
Warud Nakkhasen1,∗, Onnalin Yangnok1, Kewarin Chaidet1, Wichayaporn Jantanan
บทคัดย่อ
Abstract. The fuzzy relation Rµ on µ, where µ is a fuzzy set of a set X, is called a strongest fuzzy relation on X if Rµ(x,y) = min{µ(x),µ(y)}, for all x,y ∈ X. The notion of strongest fuzzy relations will be applied in our investigation on ternary Γ-semigroups. In order to achieve this, we will define the concepts of strongest fuzzy ternary Γ-subsemigroups, strongest fuzzy Γ-ideals (resp. left, right, and lateral), and strongest fuzzy bi-Γ-ideals on ternary Γ-semigroups. Then, we study the connections and characterizations of these concepts in ternary Γ-semigroups.
บรรณานุกรม
References [1] A. Ali, M. Y. Abbasi, and S. Ali Khan. A note on generalized po-bi-quasi Γ-ideals in po-bi-ternary Γ-semigroups. AIP Conference Proceedings, 2061:02005, 2019. [2] Y. Bhargavi, T. Eswarlal, and S. Ragamayi. Cartesian product on fuzzy ideals of a ternary Γ-semigroup. Advance in Mathematics: Scientific Journal, 9(3):1197–1203, 2020. [3] P. Bhattacharya and N. P. Mukherjee. Fuzzy relations and fuzzy groups. Information Sciences, 36(3):267–282, 1985. [4] B. L. Derseh, B. A. Alaba, and Y. G. Wondifraw. On homomorphism and cartesian product of intuitionistic fuzzy pms-subalgebras of a pms-algebra. Bulletin of the Section of Logic, 52(1):19–38, 2023. [5] S. M. Mostafa, M. A. Abd-Elnaby, and M. M. M. Yousef. Fuzzy ideals of ku-algebras. International Mathematical Forum, 6(63):3139–3149, 2011. [6] D. Madhusudhana Rao, M. Vasantha, and M. Venkateswara Rao. Structure and study of elements in ternary Γ-semigroups. International Journal of Engineering Research, 4(4):197–202, 2015. REFERENCES 1428 [7] M. Venkateswara Rao, M. Vasantha, and D. Madhusudhana Rao. A study on pseudo integral ternary Γ-semigroups. Asian Journal of Mathematics and Computer Re search, 10(2):196–202, 2016. [8] M. Vasantha and D. Madhusudhana Rao. Properties of prime ternary Γ-semigroups. Global Journal of Pure and Applied Mathematics, 11(6):4255–4271, 2015. [9] M. Vasantha, D. Madhusudhana Rao, P. S. Prasad, B. S. Kunmar, and T. Satish. On Γ-ts-acts over ternary Γ-semigroups. International Journal of Engineering & Technology, 7(4.10):812–815, 2018. [10] M. Vasantha, D. Madhusudhana Rao, and M. Venkateswara Rao. Structure of sim ple ternary Γ-semigroup. American International Journal of Research in Science, Technology, Engineering & Mathematics, 10(1):79–84, 2015. [11] M. Vasantha, D. Madhusudhana Rao, and T. Satish. On trio ternary Γ-semigroups. International Journal of Engineering & Technology, 7(3.31):157–159, 2018. [12] C. Yamini and S. Kailasavalli. Fuzzy b-ideals on b-algebras. International Journal of Mathematical Archive, 5(2):227–233, 2014. [13] L. Zadeh. Fuzzy sets. Information and Control, 8(3):338–353, 1965
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