Technical Elements with Topological Support

  • Jaime Gil Aluja
  • Ana Maria Gil Lafuente
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 276)

A Topology Named Clan

With the aim of advancing in the construction of technical elements capable of being used in the solution of economics and management problems, we will begin with the already presented axiom of the topology which we reproduce in continuation:

  1. 1

    \(\O \in T(E)\)

  2. 2

    E ∈ T(E)

  3. 3

    (A j  ∈ T(E), A k ∈ T(E)) ⇒ (A j  ∩ A k ) ∈ T(E)

  4. 4

    (A j  ∈ T(E), A k ∈ T(E)) ⇒ (A j  ∪ A k ) ∈ T(E)

    If we add a fifth axiom to these four:

  5. 5

    (A j  ∈ T(E)) ⇒ \((\overline{A}_{j} \in T(E))\)



Topological Space Management Problem Fuzzy Subset Advance Modelling Technical Element 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Jaime Gil Aluja
    • Ana Maria Gil Lafuente

      There are no affiliations available

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