Dynamic equivalence relation on the fuzzy measure algebras

Authors

  • Roya Ghasemkhani Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran.
  • Uosef Mohammadi Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran.
Abstract:

The main goal of the present paper is to extend classical results from the measure theory and dynamical systems to the fuzzy subset setting. In this paper, the notion of  dynamic equivalence relation is introduced and then it is proved that this relation is an equivalence relation. Also, a new metric on the collection of all equivalence classes is introduced and it is proved that this metric is complete.

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Journal title

volume 06  issue 1

pages  19- 28

publication date 2017-04-01

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