Towards an Advanced Modelling of Complex Economic Phenomena

Pretopological and Topological Uncertainty Research Tools

  • Jaime Gil Aluja
  • Ana Maria Gil Lafuente

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 276)

Table of contents

  1. Front Matter
  2. From Pretopology to Uncertain Pretopological Axiomatics

    1. Front Matter
      Pages 1-1
    2. Jaime Gil Aluja, Ana Maria Gil Lafuente
      Pages 3-27
    3. Jaime Gil Aluja, Ana Maria Gil Lafuente
      Pages 29-68
  3. Towards an Idea of Uncertain Topological Space

    1. Front Matter
      Pages 69-69
    2. Jaime Gil Aluja, Ana Maria Gil Lafuente
      Pages 71-106
    3. Jaime Gil Aluja, Ana Maria Gil Lafuente
      Pages 107-183
  4. Operative Techniques for Economy and Management

    1. Front Matter
      Pages 185-185
    2. Jaime Gil Aluja, Ana Maria Gil Lafuente
      Pages 187-215
    3. Jaime Gil Aluja, Ana Maria Gil Lafuente
      Pages 217-266
  5. Back Matter

About this book


Little by little we are being provided with an arsenal of operative instruments of a non-numerical nature, in the shape of models and algorithms, capable of providing answers to the “aggressions” which our economics and management systems must withstand, coming from an environment full of turmoil.


In the work which we are presenting, we dare to propose a set of elements from which we hope arise focuses capable of renewing those structures of economic thought which are upheld by the geometrical idea.


The concepts of pretopology and topology, habitually marginalized in economics and management studies, have centred our interest in recent times.  We consider that it is not possible to conceive formal structures capable of representing the Darwinism concept of economic behaviour today without recurring to this fundamental generalisation of metric spaces.


In our attempts to find a solid base to the structures proposed for the treatment of economic phenomena, we have frequently resorted to the theory of clans and the theory of affinities with results which we believe to be satisfactory.  We would like to go further, establishing, if possible, the connection between their axiomatics at the same time as developing some uncertain pretopologies and topologies capable of linking previously unconnected theories, at the same time easing the creation of other new theories.


Fuzzy Clans Management Moore Closing Moore's Fuzzy Pretopology Pretopology Topology Uncertain Moore Pretopology Uncertain Pretopology Uncertain Topological Spaces

Authors and affiliations

  • Jaime Gil Aluja
    • 1
  • Ana Maria Gil Lafuente
    • 2
  1. 1.Royal Academy of Economic and Financial Sciences (RACEF)BarcelonaSpain
  2. 2.Department of Economics and Business Organization Faculty of Economics and BusinessUniversity of BarcelonaBarcelonaSpain

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag GmbH Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-642-24811-5
  • Online ISBN 978-3-642-24812-2
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site