A Theoretical Development of Distance Measure for Intuitionistic Fuzzy Numbers
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 b...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/949143 |
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| _version_ | 1832552388938956800 |
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| author | Debashree Guha Debjani Chakraborty |
| author_facet | Debashree Guha Debjani Chakraborty |
| author_sort | Debashree Guha |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c730dceb3c0747dc87bd6d6067606542 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c730dceb3c0747dc87bd6d60676065422025-02-03T05:58:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/949143949143A Theoretical Development of Distance Measure for Intuitionistic Fuzzy NumbersDebashree Guha0Debjani Chakraborty1Department of Mathematics, IIT-Kharagpur, Kharagpur 721302, IndiaDepartment of Mathematics, IIT-Kharagpur, Kharagpur 721302, IndiaThe 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.http://dx.doi.org/10.1155/2010/949143 |
| spellingShingle | Debashree Guha Debjani Chakraborty A Theoretical Development of Distance Measure for Intuitionistic Fuzzy Numbers International Journal of Mathematics and Mathematical Sciences |
| title | A Theoretical Development of Distance Measure for Intuitionistic Fuzzy Numbers |
| title_full | A Theoretical Development of Distance Measure for Intuitionistic Fuzzy Numbers |
| title_fullStr | A Theoretical Development of Distance Measure for Intuitionistic Fuzzy Numbers |
| title_full_unstemmed | A Theoretical Development of Distance Measure for Intuitionistic Fuzzy Numbers |
| title_short | A Theoretical Development of Distance Measure for Intuitionistic Fuzzy Numbers |
| title_sort | theoretical development of distance measure for intuitionistic fuzzy numbers |
| url | http://dx.doi.org/10.1155/2010/949143 |
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