Base axioms and Subbase axioms in M-fuzzifying convex spaces

Zhen Yu Xiu; Bin Pang

doi:10.22111/ijfs.2018.3760

Base axioms and Subbase axioms in M-fuzzifying convex spaces

Zhen Yu Xiu, Bin Pang^*

^*此作品的通讯作者

数学学院

Chengdu University of Information Technology

科研成果: 期刊稿件 › 文章 › 同行评审

92 引用（Scopus）

摘要

Based on a completely distributive lattice M, base axioms and subbase axioms are introduced in M-fuzzifying convex spaces. It is shown that a mapping B (resp. φ) with the base axioms (resp. subbase axioms) can induce a unique M -fuzzifying convex structure with B (resp. φ) as its base (resp. subbase). As applications, it is proved that bases and subbases can be used to characterize CP mappings and CC mappings between M-fuzzifying convex spaces.

源语言	英语
页（从-至）	75-87
页数	13
期刊	Iranian Journal of Fuzzy Systems
卷	15
期	2
DOI	https://doi.org/10.22111/ijfs.2018.3760
出版状态	已出版 - 1 3月 2018

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Xiu, Z. Y., & Pang, B. (2018). Base axioms and Subbase axioms in M-fuzzifying convex spaces. Iranian Journal of Fuzzy Systems, 15(2), 75-87. https://doi.org/10.22111/ijfs.2018.3760

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AB - Based on a completely distributive lattice M, base axioms and subbase axioms are introduced in M-fuzzifying convex spaces. It is shown that a mapping B (resp. φ) with the base axioms (resp. subbase axioms) can induce a unique M -fuzzifying convex structure with B (resp. φ) as its base (resp. subbase). As applications, it is proved that bases and subbases can be used to characterize CP mappings and CC mappings between M-fuzzifying convex spaces.

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Base axioms and Subbase axioms in M-fuzzifying convex spaces

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