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FUZZY PSEUDOTOPOLOGICAL HYPERGROUPOIDS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 4، دوره 6، شماره 4، اسفند 2009، صفحه 11-19 اصل مقاله (196.86 K) | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2009.525 | ||
| نویسندگان | ||
| Irina Cristea1؛ Sarka Hoskova* 2 | ||
| 1DIEA, University of Udine, Via delle Scienze 206, 33100 DIEA, University of Udine, Via delle Scienze 206, 33100 Udine, Italy, Italy | ||
| 2Department of Mathematics and Physics, University of Defence Brno, Kounicova 65, 61200 Brno, Czech Republic | ||
| چکیده | ||
| On a hypergroupoid one can define a topology such that the hyperoperation is pseudocontinuous or continuous. In this paper we extend this concepts to the fuzzy case. We give a connection between the classical and the fuzzy (pseudo)continuous hyperoperations. | ||
| کلیدواژهها | ||
| Hypergroupoid؛ (Fuzzy) pseudocontinuous hyperoperation؛ (Fuzzy) continuous hyperoperation؛ Fuzzy topological space | ||
| مراجع | ||
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[1] R. Ameri, Topological (transposition) hypergroups, Ital. J. Pure Appl. Math., 13 (2003), 171-176. [2] C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 182-190. [3] P. Corsini, Prolegomena of hypergroup theory, Aviani Editore, 1993. [4] P. Corsini, Join spaces, power sets, fuzzy sets, Proc. Fifth International Congress on A.H.A., 1993, Ia¸si, Romania, Hadronic Press, (1994), 45-52. [5] P. Corsini, A new connection between hypergroups and fuzzy sets, Southeast Asian Bull. Math., 27 (2003), 221-229. [6] P. Corsini, Hyperstructures associated with fuzzy sets endowed with two membership functions, J. Comb. Inform. Syst. Sci., 31 (2006), 247-254. [7] P. Corsini and V. Leoreanu, Join spaces associated with fuzzy sets, J. Combin. Inform. Syst. Sci., 20(1-4) (1995), 293-303 [8] P. Corsini and I. Tofan, On fuzzy hypergroups, Pure Math. Appl., 8 (1997), 29-37. [9] P. Corsini and V. Leoreanu, Applications of hyperstructure theory, Kluwer Academic Publishers, Advances in Mathematics, 2003. [10] I. Cristea, A property of the connection between fuzzy sets and hypergroupoids, Ital. J. Pure Appl. Math., 21 (2007), 73-82. [11] I. Cristea, Hyperstructures and fuzzy sets endowed with two membership functions, Fuzzy Sets and Systems, 160 (2009), 1114-1124. [12] I. Cristea, About the fuzzy grade of the direct product of two hypergroupoids, Iran. J. Fuzzy Syst., to appear. [13] B. Davvaz, Fuzzy Hv-groups, Fuzzy Sets and Systems, 101 (1999), 191-195. [14] B. Davvaz, Fuzzy Hv-submodules, Fuzzy Sets and Systems, 117 (2001), 477-484. [15] B. Davvaz and W. A. Dudek, Intuitionistic Hv-ideals, Int. J. Math. Math. Sci., Art. ID 65921, (2006), 11. [16] B. Davvaz, W. A. Dudek and Y. B. Jun, Intuitionistic fuzzy Hv-submodules, Inform. Sci., 176 (2006), 285-300. [17] B. Davvaz, J. Zhan and K. P. Shum, Generalized fuzzy Hv-submodules endowed with interval valued membership functions, Inform. Sci., 178 (2008), 3147-315. [18] W. A. Dudek, J. Zhan and B. Davvaz, On intuitionistic (S, T)-fuzzy hypergroups, Soft Computing, 12 (2008), 1229-1238. [19] R. Engelking, General topology, PWN-Polish Scientific Publishers, Warszawa, (1977), 626. [20] D. H. Foster, Fuzzy topological groups, J. Math. Anal. Appl., 67 (1979), 549-564. [21] M. Ganster, D. N. Georgiou and S. Jafari, On fuzzy topological groups and fuzzy continuous functions, Hacet. J. Math. Stat., 34S (2005), 45-51 [22] S. Hoskova, Topological hypergroupoids, submitted. [23] J. Jantosciak, Transposition hypergroups: noncommutative join spaces, J. Algebra, 187 (1997), 97-19. [24] A. Kehagias and K. Serafimidis, The L-fuzzy Nakano hypergroup, Inform. Sci., 169 (2005), 305-327. [25] Y. M. Liu and M. K. Luo, Fuzzy topology, Advances in Fuzzy Systems-Applications and Theory, World Scientific, 9 (1997). [26] R. Lowen, Fuzzy topological spaces and fuzzy compactness, J. Math. Anal. Appl., 56 (1976), 621-633. [27] J. L. Ma and C. H. Yu, Fuzzy topological groups, Fuzzy Sets and Systems, 12 (1984), 289-299. [28] F. Marty, Sur une generalization de la notion de group, 8th Congress Math. Scandenaves, Stockholm, (1934), 45-49. [29] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35 (1971), 512-517. [30] M. S¸tef˘anescu and I. Cristea, On the fuzzy grade of hypergroups, Fuzzy Sets and Systems, 159(9) (2008), 1097-1106. [31] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353. [32] J. Zhan, B. Davvaz and K. P. Shum, On fuzzy isomorphism theorems of hypermodules, Soft Computing, 11 (2007), 1053-1057. [33] J. Zhan, B. Davvaz and K. P. Shum, A new view of fuzzy hypermodules, Acta Math. Sin. (Engl. Ser.), 23(8) (2007), 1345-1356. [34] J. Zhan, B. Davvaz and K. P. Shum, Isomorphism theorems of hypermodules, Acta Math. Sinica (Chin. Ser.), 50(4) (2007), 909-914. [35] J. Zhan, B. Davvaz and K. P. Shum, A new view of fuzzy hypernear-rings, Inform. Sci., 178(2) (2008), 425-438. [36] J. Zhan and W. A. Dudek, Interval valued intuitionistic (S, T)-fuzzy Hv-submodules, Acta Math. Sin. (Engl. Ser.), 22 (2006), 963-970. [37] J. Zhan, B. Davvaz and K. P. Shum, A new view of fuzzy hyperquasigroups, J. Intell. Fuzzy Systems, 20 (2009), 147-157. | ||
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