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Convex structures via convex $L$-subgroups of an $L$-ordered group | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 16، شماره 6، بهمن و اسفند 2019، صفحه 75-87 اصل مقاله (210.58 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2019.5021 | ||
| نویسندگان | ||
| H. Liu* 1؛ W. Fan2؛ S. Wang1 | ||
| 1School of Science, Shandong Jianzhu University, Jinan 250101, P.R.China | ||
| 2School of surveying and Geo-Informatics, Shandong Jianzhu University, Jinan 250101, P.R.China | ||
| چکیده | ||
| In this paper, we first characterize the convex $L$-subgroup of an $L$-ordered group by means of four kinds of cut sets of an $L$-subset. Then we consider the homomorphic preimages and the product of convex $L$-subgroups. After that, we introduce an $L$-convex structure constructed by convex $L$-subgroups. Furthermore, the notion of the degree to which an $L$-subset of an $L$-ordered group is a convex $L$-subgroup is proposed and characterized. An $L$-fuzzy convex structure which results from convex $L$-subgroup degree is imported naturally, and its $L$-fuzzy convexity preserving mappings investigated. | ||
| کلیدواژهها | ||
| $L$-ordered group؛ convex $L$-subgroup؛ $L$-convex structure؛ convex $L$-subgroup degree؛ $L$-fuzzy convex structure | ||
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آمار تعداد مشاهده مقاله: 844 تعداد دریافت فایل اصل مقاله: 558 |
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