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广义凸模糊子格
引用本文:朱熙,樊旭辉,刘维国. 广义凸模糊子格[J]. 昆明理工大学学报(自然科学版), 2010, 35(6): 119-121. DOI: 10.3969/j.issn.1007-855x.2010.06.025
作者姓名:朱熙  樊旭辉  刘维国
作者单位:武警工程学院基础部,陕西西安710086
摘    要:利用模糊点和模糊子集关系引入了(珔β,α珔)-凸模糊子格及R-凸模糊子格,建立了(珔β,α珔)-凸模糊子格与几种R-凸模糊子格之间的联系及若R满足一定条件,则在保序映射下R-凸模糊子格的像仍是R-凸模糊子格

关 键 词:模糊子格  凸子格  (β^-,α^-)-凸模糊子格  R-凸模糊子格

Generalized Convex Fuzzy Sublattice
ZHU Xi,FAN Xu-hui,LIU Wei-guo. Generalized Convex Fuzzy Sublattice[J]. Journal of Kunming University of Science and Technology(Natural Science Edition), 2010, 35(6): 119-121. DOI: 10.3969/j.issn.1007-855x.2010.06.025
Authors:ZHU Xi  FAN Xu-hui  LIU Wei-guo
Affiliation:(Department of Basic Courses,Armed Police Engineering College,Xi′an 710086,China)
Abstract:In the paper,by the use of the relations between fuzzy points and fuzzy sets,we first gave the definition of(β^-,α^-)-convex fuzzy sublattice and R-convex fuzzy sublattice.Then,we discussed the relations between the(β^-,α^-)-convex fuzzy sublattice and R-convex fuzzy sublattice.Finally,If Rsatisefies some conditions,then in isotone mapping,the image of R-convex fuzzy sublattice is also R-convex fuzzy sublattice.
Keywords:Convex sublattice  fuzzy sublattice  (β^-,α^-)-convex fuzzy sublattice  R-convex fuzzy sublattice
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