基于t-norm算子的模糊逻辑和模糊推理

Fuzzy Logic and Fuzzy Reasoning Based on Triangular Norms

LIU Yun-xiang^1,2, SUN Ji-gui¹

1. College of Computer Science and Technology, Jilin University, Changchun 130012, China;2. Department of Information Engineering, Changchun Institute of Technology, Changchun 130021, China

Received:2002-08-29 Revised:1900-01-01 Online:2003-01-26 Published:2003-01-26
Contact: LIU Yun-xiang

Abstract

Abstract: Fuzzy logic and its reasoning based on triangular norms are presented the properties and the method of triangular norms are introduced, and the conjunction is evaluated by means of t-norm and the implication by means of residuum, at the same time, biimplication, equality relation and the semantic of fuzzy sets are discussed too. The paper presents an explanation of vague environments by equality relation and several examples.

Key words: triangular norms, fuzzy logic, modus ponens, fuzzy equality

CLC Number:

O141.3

LIU Yun-xiang, SUN Ji-gui. Fuzzy Logic and Fuzzy Reasoning Based on Triangular Norms[J].J4, 2003, 41(01): 64-69.

[1]	CUI Yanli, LIANG Ying, WU Hongbo. Strong Congruence Relations and Deductive Systems in BL Propositional Logic System [J]. Journal of Jilin University Science Edition, 2018, 56(2): 237-241.
[2]	GONG Jia’an, WU Hongbo. Operator + of NBR₀Algebras and Its Properties [J]. Journal of Jilin University Science Edition, 2016, 54(01): 1-7.
[3]	QIAO Ximin, WU Hongbo. 〈∈,∈∪Q〉-Fuzzy Filter Characterization of the NoncommutativeResidual Lattices on the Interval Sets [J]. Journal of Jilin University Science Edition, 2015, 53(06): 1127-1133.
[4]	WANG Xiaxia, WU Hongbo. Co-annihilator Operator of BL-Algebras and Its Image of BL-Homomorphism [J]. Journal of Jilin University Science Edition, 2014, 52(06): 1112-1118.
[5]	ZHOU Jianren, WU Hongbo. A Weakened Form of BLAlgebra [J]. Journal of Jilin University Science Edition, 2014, 52(02): 231-236.
[6]	HONG Ning, TUN Hong-Bo. Implication Ideal with Derived Quotient Algebraof SWBR₀-Algebra [J]. J4, 2013, 51(01): 21-26.
[7]	ZHOU Jian-Ren, XIE Jing-Jing, TUN Hong-Bo. A Metric Structure and Its PropertiesBased on Metric Residual Lattice [J]. J4, 2012, 50(05): 897-901.
[8]	GAO Li-Gong, TUN Hong-Bo. QuasiBLAlgebras and Their Equivalence with BLAlgebras [J]. J4, 2011, 49(01): 41-46.
[9]	TUN Hong-Bo. A Form of R₀-Algebras on a Set with Binary Operators ,→ [J]. J4, 2009, 47(4): 661-666.
[10]	WANG Songxin. A Nonmonotonic and Numerical Extension of Fuzzy Logic [J]. J4, 2008, 46(01): 85-88.

Fuzzy Logic and Fuzzy Reasoning Based on Triangular Norms

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 10

Metrics

Comments

Recommended 10