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THE DIRECT AND THE INVERSE LIMIT OF HYPERSTRUCTURES ASSOCIATED WITH FUZZY SETS OF TYPE 2 | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 9، دوره 5، شماره 3، دی 2008، صفحه 89-94 اصل مقاله (162.81 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2008.350 | ||
| نویسنده | ||
| Violeta Leoreanu Fotea | ||
| Faculty of Mathematics, ”Al.I.Cuza” University, 6600 Iasi, Romania | ||
| چکیده | ||
| In this paper we study two important concepts, i.e. the direct and the inverse limit of hyperstructures associated with fuzzy sets of type 2, and show that the direct and the inverse limit of hyperstructures associated with fuzzy sets of type 2 are also hyperstructures associated with fuzzy sets of type 2. | ||
| کلیدواژهها | ||
| Hyperstructure؛ Hypergroup؛ Fuzzy set of type 2؛ Direct limit؛ Inverse limit | ||
| مراجع | ||
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[1] J. Adamek, H. Herrlich and G. Strecker, Abstract and concrete categories, Wiley Interscience, 1990. [2] P. Corsini, Fuzzy sets of type 2 and hyperstructures, Proceedings of the 8th Int. Congress of Algebraic Hyperstructures and Applications, 2002, Samothraki, Hadronic Press, 2003. [3] P. Corsini and V. Leoreanu, Applications of hyperstruycture theory, Kluwer Academic Publishers, Boston/ Dordrecht/ London, 2003. [4] M. M. Ebrahimi, A. Karimi and M. Mahmoudi, Limits and colimits in universal hyperalgebra, Algebras Groups and Geometries, 22 (2005), 169–182. [5] G. Gr¨atzer, Universal algebra, Second Edition, Springer–Verlag, New York, Inc., 1979. [6] V. Leoreanu Fotea, Direct limit and inverse limit of join spaces associated with fuzzy sets, PU. M. A., 11 (2000). [7] F. Marty, Sur une g´en´eralization de la notion de groupe, IV Congr`es des Math´ematiciens Scandinaves, Stockholm, 1934. [8] C. Pelea, On the direct limit of a direct system of complete multialgebras, Stud. Univ. Babes- Bolyai, Math., 49(1) (2004), 63–68. [9] G. Romeo, Limite diretto di semi–ipergruppi e ipergruppi di associativit`a, Riv. Mat. Univ. Parma, 1982. [10] D. Rutkovska and Y. Hayashi, Fuzzy inferenceneural networks with fuzzy parameters, Task Quarterly, 1 (2003). [11] L. A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning, Inform. Sci., I.8 (1975). | ||
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