Continuous Pairwise Comparisons

• Autorzy: Saaty T. L.

Identyfikatory

DOI

0.3233/FI-2016-1330

• Języki publikacji: EN

Abstrakty

EN

One 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 that in evolution, little creatures had and now still have a "feeling" about the environment in which they find themselves by sensing many things at once. Through evolution, sensing has been transformed to thinking and to discrete comparisons. This paper presents some material from other works written about continuous comparisons.

Słowa kluczowe

EN

pairwise comparisons; continuous comparisons; system of equations; Fredholm’s equation of the second kind; eigenvectors; eigenfunctions

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2016
• Tom: Vol. 144, nr 3/4
• Strony: 213--221
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Saaty T. L.

• Distinguished University Professor, University of Pittsburgh, USA

Bibliografia

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• [2] Saaty T.L. The Neural Network Process (NNP); 2014. ISBN: 9781888603248.
• [3] Nedergaard M, Ransom B, S G. A New roles for astrocytes: Redefining the functional architecture of the brain. Trends in Neurosciences. 2003;26(10):523–530. PMID: 14522144. doi:10.1016/j.tins.2003.08.008.
• [4] Saaty T.L. Vargas LG. A Model of Neural Impulse Firing and Synthesis. Journal of Mathematical Psychology. 1993;3(2):200–219. doi:10.1006/jmps.1993.1013.
• [5] Aczel J.D. A Short Course on Functional Equations: Based upon Recent Applications to the Social and Behavioral Sciences. vol. 3 of Theory and Decision Library. Boston: Reidel-Kluwer; 1987. ISBN: 978-90-277-2377-2.