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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Main Authors: Reza Ghanbari, Khatere Ghorbani-Moghadam, Nezam Mahdavi-Amiri
Format: Article
Language:English
Published: Wiley 2018-01-01
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.
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id doaj-art-3b064a00618345d68d2bc71b05208606
institution Kabale University
issn 1687-7101
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language English
publishDate 2018-01-01
publisher Wiley
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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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