Complex Vague Relation

被引:3
作者
Al-Husban, Rima [1 ]
Salleh, Abdul Razak [1 ]
机构
[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Ukm Bangi 43600, Selangor De, Malaysia
来源
INNOVATION AND ANALYTICS CONFERENCE AND EXHIBITION (IACE 2015) | 2015年 / 1691卷
关键词
FUZZY-SETS;
D O I
10.1063/1.4937060
中图分类号
O59 [应用物理学];
学科分类号
摘要
The present paper, introduces a complex vague relation (CVR) as a generalization of a vague relation by extending the range of truth-membership and false-membership functions from the closed unit interval [0, 1] to the unit circle in the complex plane. Then we introduce the basic operations on CVRs, namely complement, union and intersection. Some examples are given.
引用
收藏
页数:7
相关论文
共 15 条
[1]  
[Anonymous], 1995, Theory and applications
[2]   FUZZY COMPLEX NUMBERS [J].
BUCKLEY, JJ .
FUZZY SETS AND SYSTEMS, 1989, 33 (03) :333-345
[3]   FUZZY COMPLEX ANALYSIS-I - DIFFERENTIATION [J].
BUCKLEY, JJ ;
QU, YX .
FUZZY SETS AND SYSTEMS, 1991, 41 (03) :269-284
[4]   FUZZY COMPLEX ANALYSIS-II - INTEGRATION [J].
BUCKLEY, JJ .
FUZZY SETS AND SYSTEMS, 1992, 49 (02) :171-179
[5]  
Dubois and Prade, 1990, FUZZY SETS SYSTEMS T
[6]   VAGUE SETS [J].
GAU, WL ;
BUEHRER, DJ .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1993, 23 (02) :610-614
[7]  
Husban R., 2014, COMPLEX VAGUE SET
[8]  
Husban R., 2015, GLOBAL J PU IN PRESS
[9]   On the restudy of fuzzy complex analysis: Part II. The continuity and differentiation of fuzzy complex functions [J].
Qiu, JQ ;
Wu, CX ;
Li, FC .
FUZZY SETS AND SYSTEMS, 2001, 120 (03) :517-521
[10]  
Kandel A., 1986, FUZZY MATH TECHNIQUE