Quantum Process Semantics

The paper describes a model of subjective goal-oriented semantics extending standard "view-from-nowhere" approach. Generalization is achieved by using a spherical vector structure essentially supplementing the classical bit with circular dimension, organizing contexts according to their subjective causal ordering. This structure, known in quantum theory as qubit, is shown to be universal representation of contextual-situated meaning at the core of human cognition. Subjective semantic dimension, inferred from fundamental oscillation dynamics, is discretized to six process-stage prototypes expressed in common language. Predicted process-semantic map of natural language terms is confirmed by the open-source word2vec data.

Pairwise Relative Distance (PRED) is an intuitive and robust metric for assessing vector similarity and class separability

Scientific studies often require assessment of similarity between ordered sets of values. Each set, containing one value for every dimension or class of data, can be conveniently represented as a vector. The commonly used metrics for vector similarity include angle-based metrics, such as cosine similarity or Pearson correlation, which compare the relative patterns of values, and distance-based metrics, such as the Euclidean distance, which compare the magnitudes of values. Here we evaluate a newly proposed metric, pairwise relative distance (PRED), which considers both relative patterns and magnitudes to provide a single measure of vector similarity. PRED essentially reveals whether the vectors are so similar that their values across the classes are separable. By comparing PRED to other common metrics in a variety of applications, we show that PRED provides a stable chance level irrespective of the number of classes, is invariant to global translation and scaling operations on data, has high dynamic range and low variability in handling noisy data, and can handle multi-dimensional data, as in the case of vectors containing temporal or population responses for each class. We also found that PRED can be adapted to function as a reliable metric of class separability even for datasets that lack the vector structure and simply contain multiple values for each class.

Extension of Monotonic Functions and Representation of Preferences

Consider a dominance relation (a preorder) ≿ on a topological space X, such as the greater than or equal to relation on a function space or a stochastic dominance relation on a space of probability measures. Given a compact set K ⊆ X, we study when a continuous real function on K that is strictly monotonic with respect to ≿ can be extended to X without violating the continuity and monotonicity conditions. We show that such extensions exist for translation invariant dominance relations on a large class of topological vector spaces. Translation invariance or a vector structure are no longer needed when X is locally compact and second countable. In decision theoretic exercises, our extension theorems help construct monotonic utility functions on the universal space X starting from compact subsets. To illustrate, we prove several representation theorems for revealed or exogenously given preferences that are monotonic with respect to a dominance relation.

Metrisable assessment of the course of stream-systemic processes in vector form in industry 4.0

The goal of this paper is to present an innovative conception how to use metrisable vector structure of a manufacturing process, based on quantitative relations between the activity of input streams, features of the product, and effect of losses; all of which are excellent practical solution for Industry 4.0, and in turn intelligent factories. This solution can be a usefull way in the process of building sustainable organization. A vector representation of manufacturing processes was formulated, one which is based in system engineering. Three manufacturing system state vectors were proposed. These are: input stream vector $${\upphi }$$ ϕ , product features vector $$\overrightarrow {{\text{ P}}}$$ P → which is also referred to as quality vector, and losses vector $$\overrightarrow {{\text{ S}}}$$ S → . Scalar, vector, and mixed products of these vectors may form constitutive equations of manufacturing processes. The relations between the vectors $$\upphi$$ ϕ , $$\overrightarrow {{\text{ P}}}$$ P → ,$$\overrightarrow {{\text{ S}}}$$ S → provide a possibility for a metrisable, complex analysis and assessment of a contemporary manufacturing process. The paper shows practical methods for defining the size of the vector values within the process. The demonstrated vector description of stream-systemic processes can also be applied to non-material manufacturing.

New paradigm of the Russian labor market in the context of the formation of an inclusive economy and a new gender order

The author considers the profound changes that have occurred in the Russian labor market during the transition from a transitive economy to an inclusive one and the expanding influence of the emerging gender order, the theoretical concept of which is the theory of gender neutrality. A new paradigm for the development of the Russian labor market is proposed, which meets the radically changed economic and social conditions for the development of socio-gender labor resources in the conditions of digitalization. According to the author, a new multi-vector structure has formed in the Russian economic space, consisting of four closely interrelated markets: labor, employment, professions, and educational services. The labor market and the employment market have become the epicenter of the development of social inclusion and an inclusive economy, which have presented qualitatively different requirements for socio-gender labor resources. The complex interrelations between the four segments of the new structuration are analyzed as deep structural changes and tectonic shifts in the formation of socio-gender labor resources, the implementation of their social functions, and the reformatting of social mechanisms for managing ongoing processes. The inertial view of the labor market as a single social space does not correspond to the realities of its modern development. The article reveals the essence of the new social structuration in the context of the theory of Giddens, its architectonics, logistics of development, dialectics, and social multidimensionality. The trends in the development of a new social structuration are evaluated through the standpoint of the formation of a new gender order and the theory of gender neutrality.

Multi-vector activity in the introduction of integrated administration of environmentally safe nature resources use

The purpose of the article is to build a multi-vector structure of integrated governing of environmentally safe nature resources use according to the principles of a circular economy approach. Based on the the method of mode indicators and the method of fuzzy logic, the index of environmental safety of nature management has been determined. The interpretation of the essence of integrated administration of environmentally safe nature management is given. The organizational and economic mechanism and its implementation has been displayed. The mechanism of integral management as a set of appropriate measures is considered. A multi-vectoral structure is built, which provides for the formation of a system of mechanisms with adequate levers and tools. The providing, adaptive, functional, effective-target subsystem is characterized. The indicators of environmental, economic and social efficiency are determined, which are targeted guidelines when implementing integrated management. The requirements of a systematic approach for a comprehensive implementation of integrated management of natural resource potential are taken into account.