JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2013, Vol. 43 ›› Issue (2): 101-104.

• Articles • Previous Articles     Next Articles

Uncertainty degree and falsity degree accumulation theoremin two-valued propositional logic system

HUI Xiao-jing, ZHENG Feng-xian, REN Pan-long, GAO Qing-qing   

  1. College of Mathematics and Computer Science, Yan’an University, Yan’an 716000, China
  • Received:2012-12-05 Online:2013-04-20 Published:2012-12-05

PDF (PC)

1390

Abstract:

The falsity degree of a formular was defined according to the randomized truth degree of a formular in two-valued propositional logic, and the falsity degree accumulation theorem was proved by using the  deduction theorem, that was, the falsity degree of the conclusion was not more than the falsity degrees of the premises in valid reasoning, and thus the accumulation theorem could give the truth degree relations between premises and conclusions. Finally, the uncertainty degree accumulation theorem was compared with the falsity degree accumulation theorem, and the results showed that  the two theorems were different  expression forms.

Key words: two-valued propositional logic system, valid reasoning, probability, randomized truth degree, falsity degree

CLC Number: 

  • O141
[1] Bo WANG,Buwei WANG,Ming YANG,Yuanchun ZHAO,Wenli ZHU. Imprecise conditional probability prediction of wind power ramp events [J]. Journal of Shandong University(Engineering Science), 2020, 50(1): 82-94.
[2] Dong YANG,Shiwen WANG,Yong WANG,Bo CHEN,Tianru ZHENG,Ning ZHOU,Tian XIAO,Yawen ZHAO. Optimal complementary photovoltaic capacity configuration for grid-connected wind farms expansion [J]. Journal of Shandong University(Engineering Science), 2019, 49(5): 44-51.
[3] LIU Zhiqing, GAO Haohan, AN Molin, ZHANG Xuekai. Project schedule optimization based on critical chain method with modified completion probability [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(1): 104-111.
[4] PEI Xiaobing, CHEN Huifen, ZHANG Baizhan, CHEN Menghui. Improved bi-variables estimation of distribution algorithms for multi-objective permutation flow shop scheduling problem [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(4): 25-30.
[5] ZHAO Jianfeng, LI Hongyi, LIU Suwen. Seismic performance of RC pier with reinforcement corrosion [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(3): 112-118.
[6] LIU Yingxia, WANG Xichang, TANG Xiaoli, CHANG Faliang. Object detection algorithm based on Bayesian probability estimation in wavelet domain [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(2): 63-70.
[7] ZHANG Yuling, YIN Chuanhuan. Android malware detection based on SVM [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(1): 42-47.
[8] LIU Xiaoming, NIU Xinsheng, ZHANG Yi, CAO Benqing, SHI Xiaohan,ZHANG Youquan, ZHANG Jie, AN Peng, WANG Yuan. Analysis of spatial and temporal distribution of wind power output and variation characteristics based on NASA observation data [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2016, 46(4): 111-116.
[9] WANG Xiaochu, WANG Shitong, BAO Fang. Image classification algorithm based on minimax probability machine with regularized probability density concensus [J]. Journal of Shandong University(Engineering Science), 2015, 45(5): 13-21.
[10] XU Lingwei, ZHANG Hao, GULLIVER T A. Performance analysis of TAS/SEC system under N-Nakagami fading channels [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2015, 45(4): 84-90.
[11] SHI Hai-dong, HU Dong-mei, WANG Xiao-dong. Statistical analysis of delay spread in distributed antenna systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2012, 42(1): 133-142.
[12] ZHANG Xin-ming, MAO Wen-tao, LI Zhen-yun. Two-dimensional Otsu image thresholding based on second order generalized probability [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2012, 42(1): 25-33.
[13] WANG Shou-qiang1, ZHU Da-ming2, SHI Shi-ying1. Improved approximation Algorithm for the k-means Clustering Problem [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2011, 41(4): 125-132.
[14] DIAO Wen-Zhong, SHI Jun. Study of power system probability security assessment incomplex power injection space [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(6): 135-138.
[15] GAO Qing-zheng,CHEN Chuan-xiang,XIE Xue-jun . Output-feedback adaptive control for a class of stochastic nonlinear time varying delay systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(5): 11-18 .
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] ZHANG Yong-hua,WANG An-ling,LIU Fu-ping . The reflected phase angle of low frequent inhomogeneous[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(2): 22 -25 .
[2] SHI Lai-shun,WAN Zhong-yi . Synthesis and performance evaluation of a novel betaine-type asphalt emulsifier[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(4): 112 -115 .
[3] SUN Cong-zheng,GUAN Cong-sheng,QIN Jing-yu,CHENG Chuan . The structure and performances of the electroless Ni-P alloy coating on aluminum alloy[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(5): 108 -112 .
[4] HU Tian-liang,LI Peng,ZHANG Cheng-rui,ZUO Yi . Design of a QEP decode counter based on VHDL[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(3): 10 -13 .
[5] . [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 104 -107 .
[6] WANG Shan,LI Tian-ze . A new method for the control of a wound-rotor induction machine[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(3): 86 -89 .
[7] LI Shan-ping,ZHAO Yu-xiao,QIAO Peng,FENG Zheng-zhi . Cultivation of aerobic granular sludge and the kinetics of substrate degradation and biomass growth[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(3): 95 -98 .
[8] LI Shijin, WANG Shengte, HUANG Leping. Change detection with remote sensing images based on forward-backward heterogenicity[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(3): 1 -9 .
[9] SUN Zong-yao,LIU Yun-gang . Adaptive output feedback stabilization for a class of second-dimensional uncertain nonlinear systems[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(5): 34 -39 .
[10] SHI Wen-Hua, LIU Wei-Dong, SUN Yong-Fu. Research of 1／3 dam breach simulation and personnel evacuation scenario based on digital elevation model DEM in a quake lake[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(5): 144 -148 .
Copyright 2018 © Editorial office of Journal of Shandong University (Engineering Science)
Supported by Beijing Magtech Co.Ltd