A Model of Information Influences on the Base of Rectangular Stochastic Matrices in Chains of Reasoning with Possible Contradictions

Abstract
A way of implementing the model "state-probability of choice", which describes probabilities of making a choice between certain alternatives, into chains of uncertain reasoning has been suggested. That means associating a special matrix, called rectangular stochastic matrix, with each node of the reasoning chain, whereas a node corresponds either to a given fact or to a rule of inference, maybe uncertain. A binary case, when a resolution has to be either rejected or accepted, has been regarded. A situation of a dynamic equilibrium, which means that none of these alternatives has advantage over the other, and possible ways of how agents of influence can break such a situation, have been demonstrated. Some ways of resolving conflicts between contradictory sources of evidence have been suggested.
Description
Keywords
dynamic equilibrium of alternatives, chain of reasoning, contradictory evidence, rectangular stochastic matrices, agents of influence, conference materials
Citation
Oletsky O. A Model of Information Influences on the Base of Rectangular Stochastic Matrices in Chains of Reasoning with Possible Contradictions / Oleksiy Oletsky // 8th International Scientific Conference "Information Technology and Implementation" Workshop, IT and I-WS 2021 Kyiv, 1-3 December. - 2021. - Vol. 3179. - P. 354-361.