Distance Measures and Operations in Intuitionistic and Interval-Valued Intuitionistic Fuzzy Soft Set Theory

被引:38
作者
Khalid, Asma [1 ]
Abbas, Mujahid [2 ]
机构
[1] Lahore Sch Econ, Ctr Math & Stat Sci, Lahore 53200, Pakistan
[2] Lahore Univ Management Sci, Sch Sci & Engn, Dept Math, Lahore, Pakistan
关键词
Hausdorff distance; Intuitionistic fuzzy soft set; Similarity measure;
D O I
10.1007/s40815-015-0048-x
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, a similarity measure between intuitionistic fuzzy soft sets based on Hausdorff distance is defined and a possible application of this measure in medical diagnosis is presented. Also, Hamming and Euclidean distances are defined for interval-valued fuzzy soft and interval-valued intuitionistic fuzzy soft sets.
引用
收藏
页码:490 / 497
页数:8
相关论文
共 16 条
[11]   SIMILARITY MEASURE OF SOFT SETS [J].
Majumdar, Pinaki ;
Samanta, S. K. .
NEW MATHEMATICS AND NATURAL COMPUTATION, 2008, 4 (01) :1-12
[12]   Soft set theory - First results [J].
Molodtsov, D .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 37 (4-5) :19-31
[13]  
RAJARAJESWARI P, 2012, J MATH, V4, P27
[14]  
Szmidt E., 2011, Acta Universitatis Matthiae Belii, Ser. Math., V19, P53
[15]  
Szmidt E, 2009, PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE, P1416
[16]   Combination of interval-valued fuzzy set and soft set [J].
Yang, Xibei ;
Lin, Tsau Young ;
Yang, Jingyu ;
Li, Yan ;
Yu, Dongjun .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (03) :521-527