Representations of interval-valued fuzzy J-equivalence relations

被引:0
作者
Zhang, Hongying [1 ]
Dong, Minggao [2 ]
Qi, Jianjun [3 ]
Zhang, Wenxiu [1 ]
机构
[1] Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R China
[2] Xian Shiyou Univ, Sch Econ & Management, Xian 710065, Peoples R China
[3] Xidian Univ, Sch Comp Sci & Technol, Xian 71071, Peoples R China
来源
INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL | 2011年 / 14卷 / 01期
基金
中国国家自然科学基金;
关键词
Interval-valued fuzzy J-similarity relations; J-transitivity; Interval-valued fuzzy logical operators; INTUITIONISTIC FUZZY; SIMILARITY MEASURES; SET-THEORY; DISTANCE; ENTROPY; SYSTEMS;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper proposes a representation theorem for an arbitrary interval-valued 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 interval-valued fuzzy subsets. Then some interval-valued fuzzy J-equivalence relations are presented.
引用
收藏
页码:51 / 63
页数:13
相关论文
共 40 条
[1]   INTERVAL VALUED INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, K ;
GARGOV, G .
FUZZY SETS AND SYSTEMS, 1989, 31 (03) :343-349
[2]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[3]  
BEZDEK JC, 1996, FUZZY SETS SYSTEMS, V84, P143
[4]  
BOUCONMEUNIER B, 1992, FUZZY SETS SYSTEMS, V51, P147
[5]   Indicator of inclusion grade for interval-valued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets [J].
Bustince, H .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2000, 23 (03) :137-209
[6]   Mathematical analysis of interval-valued fuzzy relations: Application to approximate reasoning [J].
Bustince, H ;
Burillo, P .
FUZZY SETS AND SYSTEMS, 2000, 113 (02) :205-219
[7]   A COMPARISON OF SIMILARITY MEASURES OF FUZZY VALUES [J].
CHEN, SM ;
YEH, MS ;
HSIAO, PY .
FUZZY SETS AND SYSTEMS, 1995, 72 (01) :79-89
[8]   Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application [J].
Cornelis, C ;
Deschrijver, G ;
Kerre, EE .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2004, 35 (01) :55-95
[9]   Transitivity-preserving fuzzification schemes for cardinality-based similarity measures [J].
De Baets, B ;
De Meyer, H .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2005, 160 (03) :726-740
[10]   On the composition of intuitionistic fuzzy relations [J].
Deschrijver, G ;
Kerre, EE .
FUZZY SETS AND SYSTEMS, 2003, 136 (03) :333-361