Abstract
For some time now, economy and management researchers have been attempting to find a new course for their anxieties to resolve the serious problems that social, economic and business systems are causing as a consequence of the situation of uncertainty which is characteristic of our day and age. Emerging thus, within scientific spheres, are a large number of proposals which, in different senses, are converging to give new treatment both to old problems as well as to those which arise from the complex framework of economic-financial relations.
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References
J.Gil Aluja: <<La incertidumbre en la economÃa y gestión de empresas>>, Proceedings of the IVth. Congress of the Spanish Association on Technology and Fuzzy Logic, Blanes, September 14, 1994, pages 9–14.
R. Barre: Prologue of the work by A. Kaufmann and J. Gil Aluja: Técnicas operativas de gestión para el tratamiento de la incertidumbre, IIispano Europea, Barcelona, 1987.
These ideas were expounded upon in J. Gil Aluja: <<Towards a new paradigm of investment selection in uncertainty>>. Fuzzy Sets and Systems.Vol 84, number 2, December 9, 1996, pages 187–197.
K. Popper: La lógica de la investigación cientifica, Tecnos, Madrid, 1971. The first edition of this work dates from 1934 and in it he inaugurates his philosophy of science, by formulating the well-known theory of falsibility.
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Observe the at least apparent contradiction which exists between the use of the term probability (even in the event of it being a subjective probability) with its strict axiomatic and the estimate of economic magnitudes which it is hoped appear in later periods.
See the work by F. Insolera: Curso de matemática financiera y actuarial, Aguilar, Madrid, 1950. The original Italian edition (2nd.ed) was published in 1937 under the title of: Corso di matemática finanziaria, although his first work on this subject dates from 1916.
We would like to point out, relative to this aspect, the works of A. RodrÃguez, among which is found: Matemática de la inversión, Romargraf, Barcelona, 1983.
We should mention among these E. Schneider: TeorÃa de la inversión, Cácello de economicidad. The first edition in German, entitled: Wirtschaftlichkeitsrehnung, dates from 1951. The Spanish edition is by Ateneo, Buenos Aires, 1956.
The words in italics are ours.
H. Boulding: Análisis económico, Rev. de Occidente, Madrid 1962, second edition page 81. The fragment written in italics is ours.
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For effects of simplification we have substituted m a 1 b 1 for m 11; μ a 1 b 2 for m 12,…
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E. Pichat: Algorithm for finding the maximal elements of a finite universal algebra, Inform Processing 68 Publ., North Holland, 1969.
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M. Demoocrom: Work submitted to Compagnie de Machines Bull, 1964.
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Gil-Aluja, J. (1999). Investments in the company. In: Investment in Uncertainty. Applied Optimization, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5328-7_2
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