This paper introduces two new paradoxes for standard deontic logic (SDL). They are importantly related to, but distinct from Ross' paradox. These SDL the simple weakening paradox and complex Both of these arise in virtue underlying consequences fact that incorporates principle known as weakening. then show has counter-intuitive implications to disjunctive obligations decisions concerning how di...

In this paper we generalize the notion of Semi-continuity and MS-continuity and go on to study Semi-compactness, Semi-cocompactness, Semi-stability and Semi-costability in a ditopological texture space. We also extends the notion of Semi-compactness and Semi-cocompactness to a ditopological texture space modulo an ideal [13].

A mixture preorder is a on space (such as convex set) that compatible with the mixing operation. In decision theoretic terms, it satisfies central expected utility axiom of strong independence. We consider when has multi-representation consists real-valued, mixture-preserving functions. If does, must satisfy continuity Herstein and Milnor (1953). Mixture sufficient for dimension countable, but ...

Business processes are increasingly being expressed in declarative terms, as business rules which express obligations concerning conduct, action, practice or procedure regarding a particular business activity or sphere of operation. However, the leading standard for business rules, Semantics for Business Vocabulary and Business Rules (SBVR), leaves certain decisions concerning the precise synta...

1. Introduction Operation of water distribution systems requires a variety of decisions to be made. There are system development decisions: where, when and what new elements of the distribution system need to be built. There are system management decisions concerning the regulatory measures such as water pricing principles, effluent standards, legislative measures etc.. There are operational de...

The continuity of the mapping which associates a J-spectral factor to a spectral density is analyzed. For the class of essentially bounded functions on the imaginary axis that are bounded away from zero it is well known that this mapping, even for the scalar case, is not continuous. In this paper three results concerning the continuity of the mapping which associates a J-spectral factor to a sp...

The operation of the banking sector in 2020 was determined by outbreak coronavirus pandemic and, connection with this, maintenance business continuity and safe operation. Due to pandemic, losses appeared different forms operations, some which are classified as operational risk losses. Through a quantitative qualitative analysis Hungarian banks linked this study shows that despite high nominal l...