Some operations on intuitionistic fuzzy sets

被引:478
作者
De, SK [1 ]
Biswas, R [1 ]
Roy, AR [1 ]
机构
[1] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India
关键词
fuzzy sets; intuitionistic fuzzy set (IFS); CON; DIL; NORM;
D O I
10.1016/S0165-0114(98)00191-2
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We define concentration, dilation and normalization of intuitionistic fuzzy sets. These definitions will be useful while dealing with various linguistic hedges like "very", "more or less", "highly", "very very" etc, involved in the problems under intuitionistic fuzzy environment. We also prove some propositions and present some examples in this context. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:477 / 484
页数:8
相关论文
共 18 条
[1]   INTUITIONISTIC FUZZY PROLOG [J].
ATANASSOV, K ;
GEORGIEV, C .
FUZZY SETS AND SYSTEMS, 1993, 53 (02) :121-128
[2]   NEW OPERATIONS DEFINED OVER THE INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1994, 61 (02) :137-142
[3]   MORE ON INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1989, 33 (01) :37-45
[4]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[5]  
ATANASSOV KT, 1990, DOKL BOLG AKAD NAUK, V43, P9
[6]   REMARKS ON THE INTUITIONISTIC FUZZY-SETS .3. [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1995, 75 (03) :401-402
[7]  
Biswas R., 1997, B ENS FLOUS APPL BUS, V70, P22
[8]  
Biswas R., 1997, NIFS, V3, P3
[9]   Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets [J].
Burillo, P ;
Bustince, H .
FUZZY SETS AND SYSTEMS, 1996, 78 (03) :305-316
[10]   Vague sets are intuitionistic fuzzy sets [J].
Bustince, H ;
Burillo, P .
FUZZY SETS AND SYSTEMS, 1996, 79 (03) :403-405