Papers
This section presents a collection of AHP/ANP papers. Whether you are a student, academic and/or professional in the field of decision making, you can help us expand this collection by sharing your papers on decision making with the Analytic Hierarchy Process (AHP) and the Analytic Network Process (ANP).
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Paper results for keyword: Fredholm’s equationNeurons the decision makers, Part I: The firing function of a single neuron
Thomas SaatyJournal: Neural Networks This paper is concerned with understanding synthesis of electric signals in the neural system based on making pairwise comparisons. Fundamentally, every person and every animal are born with the talent to compare stimuli from things that share properties in space or over time. Comparisons always ...
Read MoreContinuous pairwise comparisons
Thomas SaatyJournal: Fundamenta InformaticaeOne often assumes that comparisons are discrete and carried out in a matrix of numbers. However, our eyes and other senses perform comparisons in a continuous way by making many simultaneously. Here the mathematics of pairwise comparisons is generalized to the continuous case. It is more likely t...
Read MoreNeural synthesis of firing decisions in the brain
Thomas SaatyJournal: Istanbul University Journal of the School of Business, The brain generally miniaturizes its perceptions into what may be regarded as a model of what happens outside. We experience the world according to the capacity of our nervous system to register the stimuli we receive. In order to understand and control the environment there needs to be proportio...
Read MoreStimulus-response with reciprocal kernels: The rise and fall of sensation
Thomas Saaty, Luis VargasJournal: Journal of Mathematical PsychologyThe paper presents a theory for constructing response scales based on the reciprocal property of paired comparisons of stimuli from the same sensory continuum. Reciprocal paired comparisons define the pair estimator function K(s, t), the kernel of a Fredholm integral equation of the second kind. ...
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Neurons the decision makers, Part I: The firing function of a single neuron
Thomas SaatyJournal: Neural Networks This paper is concerned with understanding synthesis of electric signals in the neural system based on making pairwise comparisons. Fundamentally, every person and every animal are born with the talent to compare stimuli from things that share properties in space or over time. Comparisons always ...
Read MoreContinuous pairwise comparisons
Thomas SaatyJournal: Fundamenta InformaticaeOne often assumes that comparisons are discrete and carried out in a matrix of numbers. However, our eyes and other senses perform comparisons in a continuous way by making many simultaneously. Here the mathematics of pairwise comparisons is generalized to the continuous case. It is more likely t...
Read MoreNeural synthesis of firing decisions in the brain
Thomas SaatyJournal: Istanbul University Journal of the School of Business, The brain generally miniaturizes its perceptions into what may be regarded as a model of what happens outside. We experience the world according to the capacity of our nervous system to register the stimuli we receive. In order to understand and control the environment there needs to be proportio...
Read MoreStimulus-response with reciprocal kernels: The rise and fall of sensation
Thomas Saaty, Luis VargasJournal: Journal of Mathematical PsychologyThe paper presents a theory for constructing response scales based on the reciprocal property of paired comparisons of stimuli from the same sensory continuum. Reciprocal paired comparisons define the pair estimator function K(s, t), the kernel of a Fredholm integral equation of the second kind. ...
Read More