ALGORITHMS FOR ORDERLY STRUCTURING OF FINANCIAL "OBJECTS"

Jaime Gil-Aluja
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Jaime Gil-Aluja: University of Barcelona, Barcelona, Spain

Chapter 1 in Fuzzy Sets in Management, Economics and Marketing, 2001, pp 3-17 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractUncertainty, which is all the time becoming more obvious within social life, economy and management, makes it progressively more difficult to use numerical mathematics for arrivng at a solution to the multiple problems of decision appearing in financial activities. The attempt to incorporate non numerical mathematics in order to be able to establish a new theory of decision in uncertainty [1] has opened up for research in the different areas of knowledge, such as, banking knowledge. The reformulation of concepts such a relation, assignment, grouping and order have been the starting out point for new lines of research which we feel will be most fruitful. In conjunction with Professor Kaufmann [4] we have worked, for many years, in order to construct a body, as homogenious as possible, able to allow optimum groupings of physical or mental objects. For this we drew up what, over the years, has become to be known as the theory of affinities. In this theory, and as a culmination, we introduced the Galois lattices, a simple and elegant means of presenting, in a wholly structured manner, those groups which had been previously found. On this occasion what we intend to do is to present certain algorithms that are capable of generalising the latticed schemes by means of configurations that do not require the conditions of a lattice. In this way we feel that financial decisions will be made easier by the presence of structured and ordered information in a manner that is adequate for the requirements of the decision subject.

Date: 2001
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