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
	2018-11-01
发表期刊	Computational Intelligence
ISSN	08247935
卷号	34 期号:4 页码:1101-1121
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.
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
DOI	10.1111/coin.12170
收录类别	EI ; SCIE
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Artificial Intelligence
WOS记录号	WOS:000449887900006
出版者	Blackwell Publishing Inc.
EI入藏号	20181304965637
EI主题词	Fuzzy inference
EI分类号	703.1 Electric Networks - 721.1 Computer Theory, Includes Formal Logic, Automata Theory, Switching Theory, Programming Theory - 731.1 Control Systems
来源库	Compendex
分类代码	703.1 Electric Networks - 721.1 Computer Theory, Includes Formal Logic, Automata Theory, Switching Theory, Programming Theory - 731.1 Control Systems
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/114185
专题	理学院
通讯作者	Li, Jun; Xu, Xiaofu
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
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.