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INTERVAL-VALUED FUZZY GROUP CONGRUENCES

  • Lee, Jeong Gon (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University) ;
  • Hur, Kul (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University) ;
  • Lim, Pyung Ki (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
  • Received : 2014.12.22
  • Accepted : 2015.11.17
  • Published : 2016.06.25

Abstract

We introduce the concepts of interval-valued fuzzy complete inner-unitary subsemigroups and interval-valued fuzzy group congruences on a semigroup. And we investigate some of their properties. Also, we prove that there is a one to one correspondence between the interval-valued fuzzy complete inner-unitary subsemigroups and the interval-valued fuzzy group congruences on a regular semigroups.

Keywords

interval-valued fuzzy set;interval-valued fuzzy congruence;interval-valued fuzzy (complete) inner-unitary subsemigorup;interval-valued fuzzy group congruence

Acknowledgement

Supported by : Wonkwang University

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