Abstract
The problems that arise in businesses and institutions are currently immersed in a clear context of uncertainty. The solution to these problems is forever getting more difficult, if we are committed to the use of formal treatment valid for the sphere of certainty and in situations in which the required conditions are complied with for the use of probabilistic elements.
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References
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These ideas were expounded on in Gil Aluja, J.: “Towards a new paradigm of investment selection in uncertainly”. Fuzzy Sets and Systems. Vol. 84, number 2, December 9, 1996, pages 187–197.
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In all our examples on levels of degree in [0, 1] we have considered complementation in relation to truth - false.
We have simplified this statement here even at the risk of falling into certain errors, with the object of not excessively breaking the thread of our reasoning.
We are referring to the work of Zahed, L.: “Fuzzy Sets ”, Information and Control, June 8, 1965, pages 338–353 from which arose the so-called Theory of fuzzy sub-sets.
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See for example, Kaufmann A. and Gil Aluja, J.: Tecnicas especiales para la gestion de expertos. Ed. Milladoiro. Santiago de Compostela 1993, pages 151–175.
Let us recall that the concept of valuation is similar to a numerical assignment made subjectively. Subjectivity id the characteristic that differentiates it from measurement,which is an eminently objective characteristic.
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Gil-Aluja, J. (2001). Management problems in uncertainty. In: Gil-Aluja, J. (eds) Handbook of Management under Uncertainty. Applied Optimization, vol 55. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0285-8_2
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DOI: https://doi.org/10.1007/978-1-4613-0285-8_2
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