Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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${\epsilon}$-FUZZY EQUIVALENCE RELATIONS

  • Chon, Inheung (Department of Mathematics Seoul Women's University)
  • Received : 2006.03.14
  • Published : 2006.06.30
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Abstract

We find the ${\epsilon}$-fuzzy equivalence relation generated by the union of two ${\epsilon}$-fuzzy equivalence relations on a set, find the ${\epsilon}$-fuzzy equivalence relation generated by a fuzzy relation on a set, and find sufficient conditions for the composition ${\mu}{\circ}{\nu}$ of two ${\epsilon}$-fuzzy equivalence relations ${\mu}$ and ${\nu}$ to be the ${\epsilon}$-fuzzy equivalence relation generated by ${\mu}{\cup}{\nu}$. Also we study fuzzy partitions of ${\epsilon}$-fuzzy equivalence relations.

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