Representations of interval-valued fuzzy J-equivalence relations

Hongying Zhang; Minggao Dong; Jianjun Qi; Wenxiu Zhang

Representations of interval-valued fuzzy J-equivalence relations

Hongying Zhang
, Minggao Dong
, Jianjun Qi
, Wenxiu Zhang

数学与统计学院

Xi'an Shiyou University
Xidian University
Xi'an Jiaotong University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

This paper proposes a representation theorem for an arbitrary intervalvalued fuzzy J-equivalence relations. Firstly, we present a note on representations of fuzzy T-equivalence relations in which the representation theorem should be applied to a fuzzy similarity measure better. Secondly, an representation theorem is proposed that the interval-valued fuzzy J-equivalence relations can be generated by a family of similar intervalvalued fuzzy subsets. Then some interval-valued fuzzy J-equivalence relations are presented.

源语言	英语
页（从-至）	51-63
页数	13
期刊	Information (Japan)
卷	14
期	1
出版状态	已出版 - 1月 2011

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引用此

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N2 - This paper proposes a representation theorem for an arbitrary intervalvalued fuzzy J-equivalence relations. Firstly, we present a note on representations of fuzzy T-equivalence relations in which the representation theorem should be applied to a fuzzy similarity measure better. Secondly, an representation theorem is proposed that the interval-valued fuzzy J-equivalence relations can be generated by a family of similar intervalvalued fuzzy subsets. Then some interval-valued fuzzy J-equivalence relations are presented.

AB - This paper proposes a representation theorem for an arbitrary intervalvalued fuzzy J-equivalence relations. Firstly, we present a note on representations of fuzzy T-equivalence relations in which the representation theorem should be applied to a fuzzy similarity measure better. Secondly, an representation theorem is proposed that the interval-valued fuzzy J-equivalence relations can be generated by a family of similar intervalvalued fuzzy subsets. Then some interval-valued fuzzy J-equivalence relations are presented.

KW - Interval-valued fuzzy J-similarity relations

KW - Interval-valued fuzzy logical operators

KW - J-transitivity

UR - https://www.scopus.com/pages/publications/84860164923

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Representations of interval-valued fuzzy J-equivalence relations

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