A Theoretical Development of Distance Measure for Intuitionistic Fuzzy Numbers

Joint Authors

Guha, Debashree
Chakraborty, Debjani

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-25, 25 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-03-31

Country of Publication

Egypt

No. of Pages

25

Main Subjects

Mathematics

Abstract EN

The objective of this paper is to introduce a distance measure for intuitionistic fuzzy numbers.

Firstly the existing distance measures for intuitionistic fuzzy sets are analyzed and compared with the help of some examples.

Then the new distance measure for intuitionistic fuzzy numbers is proposed based on interval difference.

Also in particular the type of distance measure for triangle intuitionistic fuzzy numbers is described.

The metric properties of the proposed measure are also studied.

Some numerical examples are considered for applying the proposed measure and finally the result is compared with the existing ones.

American Psychological Association (APA)

Guha, Debashree& Chakraborty, Debjani. 2010. A Theoretical Development of Distance Measure for Intuitionistic Fuzzy Numbers. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-25.
https://search.emarefa.net/detail/BIM-510636

Modern Language Association (MLA)

Guha, Debashree& Chakraborty, Debjani. A Theoretical Development of Distance Measure for Intuitionistic Fuzzy Numbers. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-25.
https://search.emarefa.net/detail/BIM-510636

American Medical Association (AMA)

Guha, Debashree& Chakraborty, Debjani. A Theoretical Development of Distance Measure for Intuitionistic Fuzzy Numbers. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2010, no. 2010, pp.1-25.
https://search.emarefa.net/detail/BIM-510636

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-510636