We study the quantum ( $$C^*$$ ) convexity structure of normalized positive operator valued measures (POVMs) on measurable spaces. In particular, it is seen that unlike extreme points under classical convexity, -extreme POVMs countable spaces (in particular for finite sets) are always spectral (normalized projection measures). More generally shown atomic spectral. A Krein–Milman type theorem ha...

Angell’s logic of analytic containment AC has been shown to be characterized by a 9-valued matrix NC Ferguson, and 16-valued Fine. It is that the former image surjective homomorphism from latter, i.e., an epimorphic image. Some candidate 7-valued matrices are ruled out as characteristic AC. Whether with fewer than 9 values exist remains open question. The results were obtained help MUltlog syst...

in this paper, the notions of $(t,s)$-composition matrix and$(t,s)$-interval-valued intuitionistic fuzzy equivalence matrix areintroduced where $(t,s)$ is a dual pair of triangular module. theyare the generalization of composition matrix and interval-valuedintuitionistic fuzzy equivalence matrix. furthermore, theirproperties and characterizations are presented. then a new methodbased on $tilde{...