Overview on fuzzy fractional coloring

In data science, there are still a variety of uncertainty attributes of objects which can’t be accurately represented numerically, under which case, fuzzy mathematics provides technologies and theoretical guarantee for the representations of their uncertain attributes. So far, fuzzy representation a...

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Main Authors: Wei Gao, Weifan Wang
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2021-06-01
Series:International Journal of Cognitive Computing in Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666307421000255
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author Wei Gao
Weifan Wang
author_facet Wei Gao
Weifan Wang
author_sort Wei Gao
collection DOAJ
description In data science, there are still a variety of uncertainty attributes of objects which can’t be accurately represented numerically, under which case, fuzzy mathematics provides technologies and theoretical guarantee for the representations of their uncertain attributes. So far, fuzzy representation and fuzzy set theory have been widely used in decision support systems and fuzzy reasoning, and fuzzy graph is an effective approach for the structured representation of fuzzy data. The coloring of fuzzy graph plays an irreplaceable role in task allocation and conflict coordination. This work summarizes various existing definitions of fuzzy coloring, analyzes the extant fuzzy fractional coloring which is currently proposed, and gives a new definition of fuzzy fractional coloring in terms of a different version of fuzzy coloring.
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spelling doaj.art-cdb092ef12c140d9b02c19116820693c2022-12-27T04:37:21ZengKeAi Communications Co., Ltd.International Journal of Cognitive Computing in Engineering2666-30742021-06-012196201Overview on fuzzy fractional coloringWei Gao0Weifan Wang1Corresponding author.; School of Information Science and Technology, Yunnan Normal University, Kunming 650500, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaIn data science, there are still a variety of uncertainty attributes of objects which can’t be accurately represented numerically, under which case, fuzzy mathematics provides technologies and theoretical guarantee for the representations of their uncertain attributes. So far, fuzzy representation and fuzzy set theory have been widely used in decision support systems and fuzzy reasoning, and fuzzy graph is an effective approach for the structured representation of fuzzy data. The coloring of fuzzy graph plays an irreplaceable role in task allocation and conflict coordination. This work summarizes various existing definitions of fuzzy coloring, analyzes the extant fuzzy fractional coloring which is currently proposed, and gives a new definition of fuzzy fractional coloring in terms of a different version of fuzzy coloring.http://www.sciencedirect.com/science/article/pii/S266630742100025505C72
spellingShingle Wei Gao
Weifan Wang
Overview on fuzzy fractional coloring
International Journal of Cognitive Computing in Engineering
05C72
title Overview on fuzzy fractional coloring
title_full Overview on fuzzy fractional coloring
title_fullStr Overview on fuzzy fractional coloring
title_full_unstemmed Overview on fuzzy fractional coloring
title_short Overview on fuzzy fractional coloring
title_sort overview on fuzzy fractional coloring
topic 05C72
url http://www.sciencedirect.com/science/article/pii/S2666307421000255
work_keys_str_mv AT weigao overviewonfuzzyfractionalcoloring
AT weifanwang overviewonfuzzyfractionalcoloring