A Direct Method to Compare Bipolar LR Fuzzy Numbers
We propose a new method for ordering bipolar fuzzy numbers. In this method, for comparison of bipolar LR fuzzy numbers, we use an extension of Kerre’s method being used in ordering of unipolar fuzzy numbers. We give a direct formula to compare two bipolar triangular fuzzy numbers in O(1) operations,...
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Format: | Article |
Language: | English |
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Wiley
2018-01-01
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Series: | Advances in Fuzzy Systems |
Online Access: | http://dx.doi.org/10.1155/2018/9578270 |
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author | Reza Ghanbari Khatere Ghorbani-Moghadam Nezam Mahdavi-Amiri |
author_facet | Reza Ghanbari Khatere Ghorbani-Moghadam Nezam Mahdavi-Amiri |
author_sort | Reza Ghanbari |
collection | DOAJ |
description | We propose a new method for ordering bipolar fuzzy numbers. In this method, for comparison of bipolar LR fuzzy numbers, we use an extension of Kerre’s method being used in ordering of unipolar fuzzy numbers. We give a direct formula to compare two bipolar triangular fuzzy numbers in O(1) operations, making the process useful for many optimization algorithms. Also, we present an application of bipolar fuzzy number in a real life problem. |
format | Article |
id | doaj-art-3b064a00618345d68d2bc71b05208606 |
institution | Kabale University |
issn | 1687-7101 1687-711X |
language | English |
publishDate | 2018-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Fuzzy Systems |
spelling | doaj-art-3b064a00618345d68d2bc71b052086062025-02-03T01:09:32ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2018-01-01201810.1155/2018/95782709578270A Direct Method to Compare Bipolar LR Fuzzy NumbersReza Ghanbari0Khatere Ghorbani-Moghadam1Nezam Mahdavi-Amiri2Faculty of Mathematical Sciences, Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, IranFaculty of Mathematical Sciences, Sharif University of Technology, Tehran, IranFaculty of Mathematical Sciences, Sharif University of Technology, Tehran, IranWe propose a new method for ordering bipolar fuzzy numbers. In this method, for comparison of bipolar LR fuzzy numbers, we use an extension of Kerre’s method being used in ordering of unipolar fuzzy numbers. We give a direct formula to compare two bipolar triangular fuzzy numbers in O(1) operations, making the process useful for many optimization algorithms. Also, we present an application of bipolar fuzzy number in a real life problem.http://dx.doi.org/10.1155/2018/9578270 |
spellingShingle | Reza Ghanbari Khatere Ghorbani-Moghadam Nezam Mahdavi-Amiri A Direct Method to Compare Bipolar LR Fuzzy Numbers Advances in Fuzzy Systems |
title | A Direct Method to Compare Bipolar LR Fuzzy Numbers |
title_full | A Direct Method to Compare Bipolar LR Fuzzy Numbers |
title_fullStr | A Direct Method to Compare Bipolar LR Fuzzy Numbers |
title_full_unstemmed | A Direct Method to Compare Bipolar LR Fuzzy Numbers |
title_short | A Direct Method to Compare Bipolar LR Fuzzy Numbers |
title_sort | direct method to compare bipolar lr fuzzy numbers |
url | http://dx.doi.org/10.1155/2018/9578270 |
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