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Algebraic Properties of Intuitionistic Fuzzy Residuated Lattices | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 7، دوره 13، شماره 2، تیر 2016، صفحه 95-109 اصل مقاله (424.7 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2361 | ||
| نویسندگان | ||
| Farnaz Ghanavizi Maroof1؛ Esfandiar Eslami* 2 | ||
| 1Department of Mathematics, Faculty of Mathematics and Compute, Shahid Bahonar University of Kerman, 76169-14111, Kerman, Iran | ||
| 2Department of Mathematics, Faculty of Mathematics and Com- pute, Shahid Bahonar University of Kerman, 76169-14111, Kerman, Iran | ||
| چکیده | ||
| In this paper, we investigate more relations between the symmetric residuated lattices $L$ with their corresponding intuitionistic fuzzy residuated lattice $tilde{L}$. It is shown that some algebraic structures of $L$ such as Heyting algebra, Glivenko residuated lattice and strict residuated lattice are preserved for $tilde{L}$. Examples are given for those structures that do not remain the same. Also some special subsets of $tilde{L}$ such as regular elements $Rg(tilde{L})$, dense elements $D(tilde{L})$, infinitesimal elements $Inf(tilde{L})$, boolean elements $B(tilde{L})$ and $Rad_{BL}(tilde{L})$ are characterized. The relations between these and corresponding sets in $L$ will be investigated. | ||
| کلیدواژهها | ||
| Intuitionstic fuzzy residuated lattice؛ Heyting algebra؛ Relative Stone lattice؛ Glivenko residuated lattice؛ MV (MTL؛ SRL)-algebra | ||
| مراجع | ||
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