Optimal solutions based on sustentation degree for problems of generalized Modus Ponens

doi:10.1360/jos182712

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	Optimal solutions based on sustentation degree for problems of generalized Modus Ponens
	Li, Jun 1,2; Wang, Guo-Jun 1
刊名	Ruan Jian Xue Bao/Journal of Software
	2007-11-01
卷号	18 期号:11 页码:2712-2718
关键词	Artificial intelligence Formal logic Optimization Semantics Collective generalized modus ponens problem Generalized modus ponens problem Optimal solution Sustentation degree Truth degree
ISSN号	10009825
DOI	10.1360/jos182712
英文摘要	In order to put fuzzy reasoning into the framework of logic and lays a solid logical foundation for fuzzy reasoning both syntactically and semantically, this paper transforms FMP (fuzzy modus ponens) into GMP (generalized modus ponens) by formalizing fuzzy reasoning and transplanting it into the classical propositional logic. Base on the concept of truth degrees of formulas, the sustentation degrees between formulas are put forward and a new kind of optimal solving mechanism is established for GMP and CGMP (collective generalized modus ponens). Existence theorems of optimal solutions are proved both for GMP and CGMP, and it is pointed out that there exists a completely similar reasoning mechanism between the classical propositional logic and the fuzzy logic. The graded method presented in this paper makes the algorithmic realization of solution procedure possible and serves as a guideline for the graded reasoning about knowledge.
语种	中文
出版者	Chinese Academy of Sciences, P.O. Box 8718, Beijing, 100080, China
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/112193]
专题	理学院
作者单位	1.College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China; 2.School of Science, Lanzhou University of Technology, Lanzhou 730050, China
推荐引用方式 GB/T 7714	Li, Jun,Wang, Guo-Jun. Optimal solutions based on sustentation degree for problems of generalized Modus Ponens[J]. Ruan Jian Xue Bao/Journal of Software,2007,18(11):2712-2718.
APA	Li, Jun,&Wang, Guo-Jun.(2007).Optimal solutions based on sustentation degree for problems of generalized Modus Ponens.Ruan Jian Xue Bao/Journal of Software,18(11),2712-2718.
MLA	Li, Jun,et al."Optimal solutions based on sustentation degree for problems of generalized Modus Ponens".Ruan Jian Xue Bao/Journal of Software 18.11(2007):2712-2718.