Unified forms of the CDR method of approximate reasoning on Antanassov's intuitionistic fuzzy sets and its property analysis

doi:10.1111/coin.12170

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	Unified forms of the CDR method of approximate reasoning on Antanassov's intuitionistic fuzzy sets and its property analysis
	Li, Jun; Xu, Xiaofu
刊名	Computational Intelligence
	2018-11-01
卷号	34 期号:4 页码:1101-1121
关键词	Clock and data recovery circuits (CDR circuits) Fuzzy sets Robustness (control systems) consequent dilation rule (CDR) continuity Implication operators Intuitionistic fuzzy reasonings Reductivity
ISSN号	08247935
DOI	10.1111/coin.12170
英文摘要	Two basic models of fuzzy reasoning are fuzzy modus ponens and fuzzy modus tollens. Correspondingly, the key point of intuitionistic fuzzy reasoning is to solve the problems of intuitionistic fuzzy modus ponens (IFMP) and intuitionistic fuzzy modus tollens (IFMT). In many important algorithms of fuzzy reasoning, the Consequent Dilation Rule (CDR) method possesses the virtue of unconditional reductivity. This paper proposed an intuitionistic CDR (ICDR) method for IFMP and IFMT problems by extending the CDR method to the intuitionistic fuzzy reasoning. It was proved that the intuitionistic CDR methods, both for IFMP and IFMT, are unconditionally reductive in the circumstance of using residual intuitionistic implication operators. At the same time, the continuity, approximation properties and robustness of the CDR method in Lukasiewicz intuitionistic fuzzy reasoning space have been studied by using the new defined average natural distance between intuitionistic fuzzy sets. © 2018 Wiley Periodicals, Inc.
WOS研究方向	Computer Science
语种	英语
出版者	Blackwell Publishing Inc.
WOS记录号	WOS:000449887900006
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/114185]
专题	理学院
作者单位	School of Science, Lanzhou University of Technology, Lanzhou, China
推荐引用方式 GB/T 7714	Li, Jun,Xu, Xiaofu. Unified forms of the CDR method of approximate reasoning on Antanassov's intuitionistic fuzzy sets and its property analysis[J]. Computational Intelligence,2018,34(4):1101-1121.
APA	Li, Jun,&Xu, Xiaofu.(2018).Unified forms of the CDR method of approximate reasoning on Antanassov's intuitionistic fuzzy sets and its property analysis.Computational Intelligence,34(4),1101-1121.
MLA	Li, Jun,et al."Unified forms of the CDR method of approximate reasoning on Antanassov's intuitionistic fuzzy sets and its property analysis".Computational Intelligence 34.4(2018):1101-1121.