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Congruence relation in fuzzy partial hyperalgebras | ||
| Journal of Hyperstructures | ||
| دوره 14، شماره 1، 2025، صفحه 16-24 اصل مقاله (1.6 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2025.16534.1070 | ||
| نویسندگان | ||
| Tahere Nozari* 1؛ Elham Sadat Hoseini2؛ Reza Ameri3؛ Naimeh Onagh2 | ||
| 1Department of mathematics. Faculty of sciences. Golestan university. Gorgan. Iran | ||
| 2Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran | ||
| 3School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, Tehran, Iran | ||
| چکیده | ||
| In this paper, we begin by introducing the concept of fuzzy partial hyperalgebra and exploring the relationships between congruence relations and strong congruence relations within this framework. We then construct an embedding of any fuzzy partial hyperalgebra into a fuzzy hyperalgebra, ensuring that all congruence relations on the embedded fuzzy partial hyperalgebra can be simultaneously extended to the corresponding fuzzy hyperalgebra. | ||
| کلیدواژه‌ها | ||
| Compatible relation؛ fuzzy hyperalgebra؛ fuzzy partial hyperalgebra | ||
| مراجع | ||
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[1] M. Al-Tahan and B. Davvaz, N-ary hyperstructures associated to the genotypes of F2-offspring, International Journal of Biomathematics, 10 (2017), 1750118. [2] R. Ameri and I.G. Rosenberg, Congruences of multialgebras, Journal of Multiple-Valued Logic and Soft Computing, 15 (2009), 525–536. [3] R. Ameri and M.M. Zahedi, Hyperalgebraic systems, Italian Journal of Pure and Applied Mathematics, 6 (1999), 21–32. [4] R. Ameri and T. Nozari, Fuzzy hyperalgebras, Computers and Mathematics with Applications, 61 (2011), 149–154. [5] P. Corsini and V. Leoreanu, Application of hyperstructure theory, Springer, 2003. [6] P. Corsini and I. Tofan, On fuzzy hypergroups, PU.M.A, 8 (1997), 29–37. [7] B. Davvaz and I. Cristea, Fuzzy Algebraic Hyperstructures, Studies in Fuzziness and Soft Computing, 321 (2015), 38–46. [8] G. Gr¨atzer and G.H. Wenzel, On the concept of congruence relation in partial algebras, Mathematica Scandinavica, 20 (1967), 275–280. [9] V. Leorenu-Fotea and B. Davvaz, Fuzzy hyperrings, Fuzzy Sets and Systems, 160 (2008), 2366–2378. [10] V. Leorenu-Fotea, Fuzzy hypermodules, Computers and Mathematics with Applications, 57 (2009), 466–475. [11] C. G. Massouros and G. G. Massouros, An overview of the foundations of the hypergroup theory, Mathematics, 9 (2021), 1014. [12] F. Marty, Sur une generalization de la notion de groupe, in: 8th Congress Math. Scandinaves, Stockholm (1934), 45–49. [13] M. Nov´ak, n-ary hyperstructures constructed from binary quasi-ordered semigroups, Analele Universitatii Ovidius Constanta - Seria Matematica, 22 (2022), 147–168. [14] D. Schweigert, Congruence relations of multialgebras, Discrete Mathematics, 53 (1985), 249–253. [15] M.K. Sen, R. Ameri and G. Chowdhury, Fuzzy hypersemigroups, Soft Comput, 12 (2008), 891–900. [16] A. Sonea and I. Cristea, Euler’s totient function applied to complete hypergroups, AIMS Mathematics, 8 (2023), 7731–7746. [17] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338–353 | ||
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