Convex structures via convex L-subgroups of an L-ordered group

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LIU H.; FAN W.; WANG S.

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Journal Paper

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Journal: Iranian Journal of Fuzzy Systems Year:2019 | Volume:16 | Issue:6 Page(s): 75-87

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Information Journal Paper

Title

Convex structures via convex L-subgroups of an L-ordered group

Author(s)

LIU H. | FAN W. | WANG S. | Issue Writer Certificate

Keywords

LQ2

ordered groupQ2

convex LQ2

subgroupQ2

LQ2

convex structureQ2

convex LQ2

subgroup degreeQ2

LQ2

fuzzy convex structureQ2

Abstract

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.

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APA: Copy

LIU, H., FAN, W., & WANG, S.. (2019). Convex structures via convex L-subgroups of an L-ordered group. IRANIAN JOURNAL OF FUZZY SYSTEMS, 16(6 ), 75-87. SID. https://sid.ir/paper/381447/en

Vancouver: Copy

LIU H., FAN W., WANG S.. Convex structures via convex L-subgroups of an L-ordered group. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2019;16(6 ):75-87. Available from: https://sid.ir/paper/381447/en

IEEE: Copy

H. LIU, W. FAN, and S. WANG, “Convex structures via convex L-subgroups of an L-ordered group,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 16, no. 6 , pp. 75–87, 2019, [Online]. Available: https://sid.ir/paper/381447/en

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