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

来源：

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS | 2015年 / 17卷 / 03期

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

页码：490 / 497

页数：8

共 16 条

[1]

[Anonymous], 2013, ARXIV13010456

[2]

[Anonymous], FUZZY SETS SYST

[3]

[Anonymous], 1978, MONOGR TXB PURE APPL

[4] Vague sets are intuitionistic fuzzy sets [J].

Bustince, H ;

Burillo, P .

FUZZY SETS AND SYSTEMS, 1996, 79 (03) :403-405

[5]

Dinda B., 2012, GEN MATH NOTES, V1, P74

[6] Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric [J].

Grzegorzewski, P .

FUZZY SETS AND SYSTEMS, 2004, 148 (02) :319-328

[7] Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance [J].

Hung, WL ;

Yang, MS .

PATTERN RECOGNITION LETTERS, 2004, 25 (14) :1603-1611

[8] Interval-valued intuitionistic fuzzy soft sets and their properties [J].

Jiang, Yuncheng ;

Tang, Yong ;

Chen, Qimai ;

Liu, Hai ;

Tang, Jianchao .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (03) :906-918

[9] DISTANCE AND SIMILARITY MEASURES FOR SOFT SETS [J].

Kharal, Athar .

NEW MATHEMATICS AND NATURAL COMPUTATION, 2010, 6 (03) :321-334

[10]

Maji PK., 2001, Journal of Computational and Applied Mathematics, V9, P589

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