A Fuzzy Petri-Nets Model for Computing With Words

被引:34
作者
Cao, Yongzhi [1 ,2 ]
Chen, Guoqing [3 ]
机构
[1] Peking Univ, Sch Elect Engn & Comp Sci, Beijing 100871, Peoples R China
[2] Peking Univ, Inst Software, Key Lab High Confidence Software Technol, Beijing 100871, Peoples R China
[3] Tsinghua Univ, Sch Econ & Management, Beijing 100084, Peoples R China
基金
中国国家自然科学基金;
关键词
Computing with words (CWs); fuzzy automata; fuzzy Petri nets (FPNs); fuzzy reasoning; granular computing; REPRESENTATION MODEL; UNCERTAINTY; SYSTEMS;
D O I
10.1109/TFUZZ.2009.2035816
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Motivated by Zadeh's paradigm of computing with words (CWs) rather than numbers, several formal models of CWs have recently been proposed. These models are based on automata and, thus, are not well suited for concurrent computing. In this paper, we incorporate the well-known model of concurrent computing, which is called the Petri net, together with fuzzy-set theory and, thereby, establish a concurrency model of CWs-fuzzy Petri nets for CWs (FPNCWs). The new feature of such fuzzy Petri nets is that the labels of transitions are some special words modeled by fuzzy sets. By employing the methodology of fuzzy reasoning, we give a faithful extension of an FPNCW that makes computing with more words possible. The language expressiveness of the two formal models of CWs, i.e., fuzzy automata for CWs as well as FPNCWs, is compared. A few small examples are provided to illustrate the theoretical development.
引用
收藏
页码:486 / 499
页数:14
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