The concept of Hukuhara Derivative and Aumann Integrals for Intuitionistic fuzzy number valued functions
In this paper we have frstly defned a metric in intuitionistic fuzzy environment and studied its properties.Then we have proved that the metric spaceof fuzzy number valued functions is complete under this metric. We havestudied the concept of Aumann integration for intuitionistic fuzzy numbervalued...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Kyrgyz Turkish Manas University
2018-12-01
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| Series: | MANAS: Journal of Engineering |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/604856 |
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| Summary: | In this paper we have frstly defned a metric in intuitionistic fuzzy environment and studied its properties.Then we have proved that the metric spaceof fuzzy number valued functions is complete under this metric. We havestudied the concept of Aumann integration for intuitionistic fuzzy numbervalued functions in terms of α and β cuts. We have given the relationbetween Hukuhara derivative and Aumann integral for intuitionistic fuzzyvalued functions by using the fundamental theorem of calculus. |
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| ISSN: | 1694-7398 |