Jaccard index with yager class t-norm for ranking fuzzy numbers / Nazirah Ramli, Nurul Haziqah Mohamad, Marina Mohamad and Fairuz Shohaimay

This study proposes a new method for ranking fuzzy numbers based on Jaccard similarity measure index and Yager class t-norm. The procedure of this new ranking method involves six phases which are determining fuzzy maximum and fuzzy minimum, intersection and union of fuzzy numbers, scalar cardinality...

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Main Authors: Mohamad, Nurul Haziqah, Mohamad, Marina, Shohaimay, Fairuz
Format: Article
Language:English
Published: Faculty of Business Management 2013
Online Access:https://ir.uitm.edu.my/id/eprint/8753/1/AJ_NAZIRAH%20RAMLI%20IJUS%2013.pdf
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author Mohamad, Nurul Haziqah
Mohamad, Marina
Shohaimay, Fairuz
author_facet Mohamad, Nurul Haziqah
Mohamad, Marina
Shohaimay, Fairuz
author_sort Mohamad, Nurul Haziqah
collection UITM
description This study proposes a new method for ranking fuzzy numbers based on Jaccard similarity measure index and Yager class t-norm. The procedure of this new ranking method involves six phases which are determining fuzzy maximum and fuzzy minimum, intersection and union of fuzzy numbers, scalar cardinality of fuzzy numbers, fuzzy evidence, fuzzy total evidence and pairwise ranking. The result shows that for certain conditions, the ranking is affected by the values of w and has improved some of the previous results that cannot discriminate the ranking of the fuzzy numbers. Results from this study can be of practical significance to fuzzy decision-making in real situations.
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spelling oai:ir.uitm.edu.my:87532019-03-18T06:39:43Z https://ir.uitm.edu.my/id/eprint/8753/ Jaccard index with yager class t-norm for ranking fuzzy numbers / Nazirah Ramli, Nurul Haziqah Mohamad, Marina Mohamad and Fairuz Shohaimay Mohamad, Nurul Haziqah Mohamad, Marina Shohaimay, Fairuz This study proposes a new method for ranking fuzzy numbers based on Jaccard similarity measure index and Yager class t-norm. The procedure of this new ranking method involves six phases which are determining fuzzy maximum and fuzzy minimum, intersection and union of fuzzy numbers, scalar cardinality of fuzzy numbers, fuzzy evidence, fuzzy total evidence and pairwise ranking. The result shows that for certain conditions, the ranking is affected by the values of w and has improved some of the previous results that cannot discriminate the ranking of the fuzzy numbers. Results from this study can be of practical significance to fuzzy decision-making in real situations. Faculty of Business Management 2013 Article NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/8753/1/AJ_NAZIRAH%20RAMLI%20IJUS%2013.pdf Jaccard index with yager class t-norm for ranking fuzzy numbers / Nazirah Ramli, Nurul Haziqah Mohamad, Marina Mohamad and Fairuz Shohaimay. (2013) International Journal of Undergraduates Studies <https://ir.uitm.edu.my/view/publication/International_Journal_of_Undergraduates_Studies/>, 2 (3). pp. 9-14. ISSN 2289-4242
spellingShingle Mohamad, Nurul Haziqah
Mohamad, Marina
Shohaimay, Fairuz
Jaccard index with yager class t-norm for ranking fuzzy numbers / Nazirah Ramli, Nurul Haziqah Mohamad, Marina Mohamad and Fairuz Shohaimay
title Jaccard index with yager class t-norm for ranking fuzzy numbers / Nazirah Ramli, Nurul Haziqah Mohamad, Marina Mohamad and Fairuz Shohaimay
title_full Jaccard index with yager class t-norm for ranking fuzzy numbers / Nazirah Ramli, Nurul Haziqah Mohamad, Marina Mohamad and Fairuz Shohaimay
title_fullStr Jaccard index with yager class t-norm for ranking fuzzy numbers / Nazirah Ramli, Nurul Haziqah Mohamad, Marina Mohamad and Fairuz Shohaimay
title_full_unstemmed Jaccard index with yager class t-norm for ranking fuzzy numbers / Nazirah Ramli, Nurul Haziqah Mohamad, Marina Mohamad and Fairuz Shohaimay
title_short Jaccard index with yager class t-norm for ranking fuzzy numbers / Nazirah Ramli, Nurul Haziqah Mohamad, Marina Mohamad and Fairuz Shohaimay
title_sort jaccard index with yager class t norm for ranking fuzzy numbers nazirah ramli nurul haziqah mohamad marina mohamad and fairuz shohaimay
url https://ir.uitm.edu.my/id/eprint/8753/1/AJ_NAZIRAH%20RAMLI%20IJUS%2013.pdf
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