Abstract The existing Fisher’s exact test has been widely applied for investigating whether the difference between observed frequencies is significant or not. can be only when are in determinate form and no vogues information. In practice, due to complicity production process, it not always possible have form. Therefore, use of may mislead industrial engineers. paper presents modification using...

let r be an associative ring with unity. an element a in r is said to be r-clean if a = e+r, where e is an idempotent and r is a regular (von neumann) element in r. if every element of r is r-clean, then r is called an r-clean ring. in this paper, we prove that the concepts of clean ring and r-clean ring are equivalent for abelian rings. further we prove that if 0 and 1 are the only idempotents...

let r be an associative ring with unity. an element a in r is said to be r-clean if a = e+r, where e is an idempotent and r is a regular (von neumann) element in r. if every element of r is r-clean, then r is called an r-clean ring. in this paper, we prove that the concepts of clean ring and r-clean ring are equivalent for abelian rings. further we prove that if 0 and 1 are the only idempotents...

Explicit density-dependence differs from density-vagueness in the sort of regulation imposed on populations. Explicit density-dependence implies regulation toward a central equilibrium point, whereas density-vagueness implies population change away from the two extremes of extinction and immense densities. Density-vagueness does not much concern regulation within the broad range of medial densi...

This paper deals with the generation of definite (i.e., uniquely referring) descriptions containing semantically vague expressions ('large', 'small', etc.). Firstly, the paper proposes a semantic analysis of vague descriptions that does justice to the contextdependent meaning of the vague expressions in them. Secondly, the paper shows how this semantic analysis can be implemented using a modifi...

In this paper, we investigated concept of TL-vague module and obtained some basic properties of this concept.

This paper deals with the generation of deenite (i.e., uniquely referring) descriptions containing semantically vague expressions (`large', `small', etc.). Firstly, the paper proposes a semantic analysis of vague descriptions that does justice to the context-dependent meaning of the vague expressions in them. Secondly, the paper shows how this semantic analysis can be implemented using a modiic...

In many online shopping applications, traditional Association Rule (AR) mining has limitations as it only deals with the items that are sold but ignores the items that are almost sold. For example, those items that are put into the basket but not checked out. We say that those almost sold items carry hesitation information since customers are hesitating to buy them. The hesitation information o...

in this work, we investigate the transfer of some homological properties from a ring $r$ to its amalgamated duplication along some ideal $i$ of $r$ $rbowtie i$, and then generate new and original families of rings with these properties.