On IV-(∈,∈∨q)-fuzzy lattice implication sub-algebras

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (26): 39-43.

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On IV-(∈,∈∨q)-fuzzy lattice implication sub-algebras

LIU Chunhui

Department of Elementary Education, Chifeng University, Chifeng, Nei Mongol 024001, China

Online:2012-09-11 Published:2012-09-21

关于IV-(∈,∈∨q)模糊格蕴涵子代数

刘春辉

赤峰学院初等教育学院，内蒙古赤峰 024001

Abstract

Abstract: It studies the concept of IV-(∈,∈∨q)-fuzzy lattice implication sub-algebras by using the ideas of interval valued fuzzy sets. Some new properties and characterizations of IV-(∈,∈∨q)-fuzzy lattice implication sub-
algebras are given. The conditions for the images and inverse images of IV-(∈,∈∨q)-fuzzy lattice implication sub-algebras to be IV-[(∈,∈∨q)]-fuzzy lattice implication sub-algebras are obtained. The direct product features of IV-(∈,∈∨q)-fuzzy lattice implication sub-algebras are discussed.

Key words: lattice implication algebras, IV-fuzzy sets, IV-(∈,∈∨q)-fuzzy lattice implication sub-algebras, direct product

摘要： 运用区间值模糊集的思想对IV-[(∈,∈∨q)]-模糊格蕴涵子代数概念作进一步研究。给出了IV-[(∈,∈∨q)]-模糊格蕴涵子代数的若干新的性质与刻画；获得了IV-[(∈,∈∨q)]-模糊格蕴涵子代数的象与原象成为IV-[(∈,∈∨q)]-模糊格蕴涵子代数的条件；讨论了IV-[(∈,∈∨q)]-模糊格蕴涵子代数的直积特征。

关键词: 格蕴涵代数, IV-模糊集, IV-[(&isin, &isin, &or, q)]-模糊格蕴涵子代数, 直积

LIU Chunhui. On IV-(∈,∈∨q)-fuzzy lattice implication sub-algebras[J]. Computer Engineering and Applications, 2012, 48(26): 39-43.

刘春辉. 关于IV-(∈,∈∨q)模糊格蕴涵子代数[J]. 计算机工程与应用, 2012, 48(26): 39-43.

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On IV-(∈,∈∨q)-fuzzy lattice implication sub-algebras

关于IV-(∈,∈∨q)模糊格蕴涵子代数

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