Boolean Models and Simultaneous Inequalities
S. S. Kutateladze
TL;DR
This paper explores the use of Boolean models to develop operator versions of the Farkas Lemma, enhancing the theoretical framework for solving systems of simultaneous linear inequalities.
Contribution
It introduces Boolean models as a novel approach to derive operator versions of the Farkas Lemma, extending classical results in linear inequalities.
Findings
Operator versions of Farkas Lemma derived using Boolean models
Enhanced theoretical understanding of simultaneous inequalities
Potential applications in optimization and linear algebra
Abstract
Boolean models are applied to deriving operator versions of the classical Farkas Lemma in the theory of simultaneous linear inequalities.
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Taxonomy
TopicsAdvanced Algebra and Logic · Rough Sets and Fuzzy Logic · Bayesian Modeling and Causal Inference