Testing with Axioms in C++ 2011

Some separation axioms via modified θ-open sets

On bD-Sets and Associated Separation Axioms

BASE AXIOMS AND SUBBASE AXIOMS IN M-FUZZIFYING CONVEX SPACES

Based on a completely distributive lattice $M$, base axioms and subbase axioms are introduced in $M$-fuzzifying convex spaces. It is shown that a mapping $mathscr{B}$ (resp. $varphi$) with the base axioms (resp. subbase axioms) can induce a unique $M$-fuzzifying convex structure with  $mathscr{B}$ (resp. $varphi$) as its base (resp. subbase). As applications, it is proved that bases and subbase...

Reusability and Adaptivity of a Web-based Boolean Axioms Application

A Web-based application, called Virtual Instrument, concerning Boolean axioms, is presented in the article. The instrument can be used for self-education and for self-testing, both in three languages: Bulgarian, German and English. In the self-education mode it possesses adaptivity – the process of self-education last shorter, when the user knows more and learns quickly and last longer, if the ...

The Money Pump as a Measure of Revealed Preference Violations

We introduce a measure of the severity of violations of the revealed preference axioms, which we call the money pump index (MPI). The measure is based on the idea that a consumer who violates the axioms is subject to being exploited as a money pump. The MPI has a simple interpretation as the certain dollar amount that can be extracted from a consumer who behaves irrationally. We carry out an em...