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http://dx.doi.org/10.5831/HMJ.2016.38.2.403

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)
Publication Information
Honam Mathematical Journal / v.38, no.2, 2016 , pp. 403-423 More about this Journal
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;
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Times Cited By KSCI : 8  (Citation Analysis)
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