Convex structures via convex L-subgroups of an L-ordered group
Publish place: Iranian Journal of Fuzzy Systems، Vol: 16، Issue: 6
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-16-6_008
تاریخ نمایه سازی: 30 خرداد 1400
Abstract:
In this paper, we first characterize the convex L-subgroup of an L-ordered group by means of fourkinds 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.
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