Commuting Probability Revisions: The Uniformity Rule

Commuting Probability Revisions: The Uniformity Rule: In Memoriam Richard Jeffrey, 1926-2002

A simple rule of probability revision ensures that the final result of a se? quence of probability revisions is undisturbed by an alteration in the temporal order of the learning prompting those revisions. This Uniformity Rule dictates that identical learning be reflected in identical ratios of certain new-to-old odds, and is grounded in the old Bayesian idea that such ratios represent what is ...

Probability Revision, the Uniformity Rule, and the Chan-Darwiche Metric

The author has proposed a rule of probability revision dictating that identical learning be reflected in identical ratios of new to old odds. Following this rule ensures that the final result of a sequence of probability revisions is undisturbed by an alteration in the temporal order of the learning prompting these revisions. There is also a close connection between this rule and an intriguing ...

Probability of Mutually Commuting N-Tuples in Some Classes of Compact Groups

Relative n-th non-commuting graphs of finite groups

‎Suppose $n$ is a fixed positive integer‎. ‎We introduce the relative n-th non-commuting graph $Gamma^{n} _{H,G}$‎, ‎associated to the non-abelian subgroup $H$ of group $G$‎. ‎The vertex set is $Gsetminus C^n_{H,G}$ in which $C^n_{H,G} = {xin G‎ : ‎[x,y^{n}]=1 mbox{~and~} [x^{n},y]=1mbox{~for~all~} yin H}$‎. ‎Moreover‎, ‎${x,y}$ is an edge if $x$ or $y$ belong to $H$ and $xy^{n}eq y^{n}x$ or $x...

Improvement of Rule Generation Methods for Fuzzy Controller

This paper proposes fuzzy modeling using obtained data. Fuzzy system is known as knowledge-based or rule-bases system. The most important part of fuzzy system is rule-base. One of problems of generation of fuzzy rule with training data is inconsistence data. Existence of inconsistence and uncertain states in training data causes high error in modeling. Here, Probability fuzzy system presents to...