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On fuzzy convex lattice-ordered subgroups | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 11، دوره 10، شماره 3، شهریور 2013، صفحه 159-172 اصل مقاله (379.36 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2013.868 | ||
| نویسنده | ||
| Mahmood Bakhshi* | ||
| Department of Mathematics, Bojnord University, Bojnord, Iran | ||
| چکیده | ||
| In this paper, the concept of fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) of an ordered group (resp. lattice-ordered group) is introduced and some properties, characterizations and related results are given. Also, the fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) generated by a fuzzy subgroup (resp. fuzzy subsemigroup) is characterized. Furthermore, the Fundamental Homomorphism Theorem is established. Finally, it is proved that the class of all fuzzy convex lattice-ordered subgroups of a lattice-ordered group $G$ forms a complete Heyting sublattice of the lattice of fuzzy subgroups of $G$. | ||
| کلیدواژهها | ||
| Lattice-ordered group؛ Convex subgroup؛ Fuzzy convex subgroup | ||
| مراجع | ||
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[1] N. Ajmal and K. V. Thomas, Fuzzy lattices, Information Sciences, 79 (1994), 271{291. [2] J. M. Anthony and H. Sherwood, Fuzzy groups redened, J. Math. Anal. Appl., 69 (1979), 124{130. [3] J. M. Anthony and H. Sherwood, A characterization of fuzzy subgroups, Fuzzy Sets and Systems, 7 (1982), 297{305. [4] T. S. Blyth, Lattices and ordered algebraic structures, Springer-Verlag, London, 2005. [5] Y. Bo and W. Wangming, Fuzzy ideals on a distributive lattice, Fuzzy Sets and Systems, 35 (1990), 231{240. [6] P. S. Das, Fuzzy groups and level subgroups, J. Math. Anal. Appl., 84 (1981), 264{269. [7] D. S. Malik, J. N. Mordeson and P. S. Nair, Fuzzy generators and fuzzy direct sums of abelian groups, Fuzzy Sets and Systems, 50 (1992), 193{199. [8] J. N. Mordeson, K. R. Bhutani and A. Rosenfeld, Fuzzy group theory, Springer-Verlag, Netherlands, 2005. [9] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35 (1971), 512{517. [10] G. S. V. Satya Saibaba, Fuzzy lattice ordered groups, Southeast Asian Bull. Math., 32 (2008), 749{766. [11] U. M. Swamy and D. Viswanadha Raju, Fuzzy ideals and congruences of lattices, Fuzzy Sets and Systems, 95 (1998), 249{253. [12] Y. Yin, Y. B. Jun and Z. Yang, More general forms (; )-fuzzy ideals of ordered semigroups, Iranian Journal of Fuzzy Systems, 9(4) (2012), 99-113. [13] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338{353. | ||
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