Interval valued (∈,∈∨ q)-fuzzy filters of lattice implication algebras

被引：0
作者：
Peng Jiayin [1 ,2 ]
机构：
[1] Neijiang Normal Univ, Key Lab Numer Simulatioin Sichuan Provice, Neijiang 641112, Sichuan, Peoples R China
[2] Neijiang Normal Univ, Sch Math & Informat Sci, Neijiang 641112, Sichuan, Peoples R China
来源：
2010 THE 3RD INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND INDUSTRIAL APPLICATION (PACIIA2010), VOL IV | 2010年
关键词：
lattice implication algebra; quasi-coincidence; fuzzy interval value; (is an element of; is an element of boolean OR q)-fuzzy filter; interval valued fuzzy filter with thresholds;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The concept of quasi-coincidence of a fuzzy point with a fuzzy set is extended to the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, the notions of interval valued (is an element of,is an element of boolean OR q)-fuzzy filters in lattice implication algebras which is a generalization of ordinary fuzzy filters of lattice implication algebras, is defined, and their related properties and equivalent description are given. In particular, the concept of a fuzzy subgroup with thresholds is generalized to the concept of an interval valued fuzzy filter with thresholds in lattice implication algebras.
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页码：224 / 227
页数：4
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