Abstract
The new approaches we have been looking at up to now are causing changes in the contents of traditional operative research and to the notions of relation and assignment, that of grouping in also added, which now acquires a new sense. This change is fundamental in order to arrive at profound renewal of traditional studies into the theory of decision.
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References
Gil Aluja, J.: Les approches connexionistes dans le changement du paradigme de la théorie de la décision. 3ème Rencontre Internationale ACSEG, October 25, 1996.
Kaufmann, A. and Gil Aluja, J.: Selection of affinities by means of fuzzy relations and Galois Lattices. Proceedings of the XI Euro O. R. Congress, Aachen, 16-19 July, 1991.
Kaufmann, A. and Gil Aluja, J.: Técnicas de gestion de empresa. Previsiones, decisiones y estrategias. Ed. Pirâmide, Madrid, 1992, chap. 10. Kaufmann, A. and Gil Aluja, J.: Técnicas especiales para la gestion de expertos. Ed. Milladoiro, Santiago de Compostela, 1993, chap.13.
In this first study it is assumed (particular case) that the functional application M gives as a result elements of the same referential El. What this is then is an application of E, in E1.
S In this respect reference can be made to Dubreil, P.: Leçons d’algèbre moderne. Ed. Dunod, Paris, 1964, pages 177 and following.
In this structure the symbols A and V are not operators but they represent the extremes or limits.
For the process of grouping a hypothesis has been taken that all the characteristics or qualities C, j = 1, 2,…, 6, have the same importance. There is no particular problem in assigning different weights to each of them.
For greater ease in the nomenclature we will substitute P1, P2, P3, P4 for a, b, c, d as we did before.
Pichat, E.: Contribution a lalgorithmique non numerique dans les ensembles ordonnés. Science Doctoral Thesis. Grenoble University, 1970.
Gil Aluja, J.: MAPCLAN, model for assembling products by means of clans. Proceedings of the Third International Conference on modelling and simulation MS’97. Melbourne 29-31 October 1997, page 496 – 504
Courtillot, M.: Tructure cononique des fichiers A.I.E.R. - A.F.C.E.T. Vol. 7 January 1973, pages 2 – 15.
This case, applied to the sphere of investments, was presented in Gil Aluja, J.: Invertir en la incertidumbre. Ed. Pirâmide. Madrid 1997, page 115 – 12
We have limited ourselves to showing some of the mini-terms (obviously the non-vacant ones) in order not to lengthen this exposition phase too much.
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Gil-Aluja, J. (1999). Groupings. In: Elements for a Theory of Decision in Uncertainty. Applied Optimization, vol 32. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3011-1_4
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DOI: https://doi.org/10.1007/978-1-4757-3011-1_4
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