We prove that the space of intertwining operators associated with certain admissible modules over vertex operator algebras is isomorphic to a quotient vector conformal blocks on three-pointed rational curve defined by same data. This provides new proof and alternative version Frenkel Zhu's fusion rules theorem in terms dimension bimodules algebra, without assumption rationality.

In this paper we introduce two new DSm fusion conditioning rules with example, and as a generalization of them a class of DSm fusion conditioning rules, and then extend them to a class of DSm conditioning rules.

In this paper we introduce two new DSm fusion conditioning rules with example, and as a generalization of them a class of DSm fusion conditioning rules, and then extend them to a class of DSm conditioning rules.

Several unified optimal estimation/track fusion rules in the sense of best linear unbiased estimation (BLUE) and weighted least squares (WLS) have been presented in Part I [6] for centralized, distributed, and hybrid fusion architectures. This paper discusses their pros and cons, verifies these rules, and demonstrate via simulation examples how these fusion rules can be used in cases with eithe...

In this paper, we first present a general data model for discretized asynchronous multisensor systems and show that errors in the data model are correlated across sensors and with the state. This coupling renders most existing “optimal” linear fusion rules suboptimal. While our fusion rules of Part I are valid and optimal for this general model, we propose a general, exact technique to decouple...

Structured text is a general concept that is implicit in a variety of approaches to handling information. Syntactically, an item of structured text is a number of grammatically simple phrases together with a semantic label for each phrase. Items of structured text may be nested within larger items of structured text. Much information is potentially available as structured text including tagged ...

In this paper, we first present a general data model for discretized asynchronous multisensor systems and show that errors in the data model are correlated across sensors and with the state. This coupling renders most existing “optimal” linear fusion rules suboptimal. While our fusion rules presented in [16, 15] are valid and optimal for this general model, we propose a general, exact technique...

We note that there are some discrepancies in the results reported in the above titled paper. Our experiments indicate that the authors have considered only a subset of all possible fusion rules, contradicting the statement that all possible rules have been considered. Moreover, the authors state that only monotonic rules can be optimal and therefore all other rules can be ignored. However, our ...

In this paper one studies, within Dezert-Smarandache Theory (DSmT), the case when the sources of information provide imprecise belief functions/masses, and we generalize the DSm rules of combination (classic or hybrid rules) from scalar fusion to sub-unitary interval fusion and, more general, to any set of sub-unitary interval fusion. This work generalizes previous works available in literature...