南方科技大学知识苑(SUSTech KC): Fundamental relations and identities of fuzzy hyperalgebras

题名	Fundamental relations and identities of fuzzy hyperalgebras
作者	Firouzkouhi, Narjes 1; Amini, Abbas 2,3; Cheng, Chun4 ; Soleymani, Mehdi 5; Davvaz, Bijan 6
通讯作者	Amini, Abbas
发表日期	2021
DOI	10.3233/JIFS-210994
发表期刊	JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 影响因子和分区
ISSN	1064-1246
EISSN	1875-8967
卷号	41 期号:1页码:2265-2274
摘要	Inspired by fuzzy hyperalgebras and fuzzy polynomial function (term function), some homomorphism properties of fundamental relation on fuzzy hyperalgebras are conveyed. The obtained relations of fuzzy hyperalgebra are utilized for certain applications, i.e., biological phenomena and genetics along with some elucidatory examples presenting various aspects of fuzzy hyperalgebras. Then, by considering the definition of identities (weak and strong) as a class of fuzzy polynomial function, the smallest equivalence relation (fundamental relation) is obtained which is an important tool for fuzzy hyperalgebraic systems. Through the characterization of these equivalence relations of a fuzzy hyperalgebra, we assign the smallest equivalence relation alpha(i1i2), on a fuzzy hyperalgebra via identities where the factor hyperalgebra is a universal algebra. We extend and improve the identities on fuzzy hyperalgebras and characterize the smallest equivalence relation alpha(j) on the set of strong identities.
关键词	Fuzzy hyperalgebra fuzzy polynomial function identity fundamental relation universal algebra homomorphism
相关链接	[来源记录]
收录类别	SCI ; EI
语种	英语
学校署名	其他
WOS研究方向	Computer Science
WOS类目	Computer Science, Artificial Intelligence
WOS记录号	WOS:000685896700139
出版者	IOS PRESS
EI入藏号	20213410805816
EI主题词	Equivalence classes ; Set theory
EI分类号	Mathematics:921 ; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4
ESI学科分类	COMPUTER SCIENCE
来源库	Web of Science
引用统计	被引频次[WOS]：1
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/244951
专题	工学院_材料科学与工程系
作者单位	1.Golestan Univ, Dept Math, Gorgan, Golestan, Iran 2.Australian Coll Kuwait, Dept Mech Engn, Safat 13015, Kuwait 3.Western Sydney Univ, Ctr Infrastruct Engn, Penrith, NSW 2751, Australia 4.Southern Univ Sci & Technol, Dept Mat Sci & Engn, Shenzhen 518055, Peoples R China 5.Univ Auckland, Dept Stat, Auckland, New Zealand 6.Yazd Univ, Dept Math, Yazd, Iran
推荐引用方式 GB/T 7714	Firouzkouhi, Narjes,Amini, Abbas,Cheng, Chun,et al. Fundamental relations and identities of fuzzy hyperalgebras[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS,2021,41(1):2265-2274.
APA	Firouzkouhi, Narjes,Amini, Abbas,Cheng, Chun,Soleymani, Mehdi,&Davvaz, Bijan.(2021).Fundamental relations and identities of fuzzy hyperalgebras.JOURNAL OF INTELLIGENT & FUZZY SYSTEMS,41(1),2265-2274.
MLA	Firouzkouhi, Narjes,et al."Fundamental relations and identities of fuzzy hyperalgebras".JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 41.1(2021):2265-2274.