Interval-Valued Fuzzy Congruences on Inverse Semigroups

Authors

  • F. M. Khan
  • N. H. Sarmin
  • M. Shabir
  • A. Khan

DOI:

https://doi.org/10.11113/matematika.v27.n.300

Abstract

We introduce a quotient semigroup $S/\overline{\delta}$ by an interval-valued fuzzy congruence relation $\overline{\delta}$ on a semigroup S, and present Homomorphism Theorems with respect to an interval-valued fuzzy congruence relation. In this paper, we introduce an idempotent-separating interval-valued fuzzy congruence, a group interval-valued fuzzy congruence on inverse semigroup, and some of their properties on inverse semigroups. Keywords: Interval-valued fuzzy congruence, Inverse semigroup, Idempotent-separating Interval-valued fuzzy congruence, Group Interval-valued fuzzy congruence. 2010 Mathematics Subject Classification 20M18; 18A32; 08A72.

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Published

01-11-2011

Issue

Volume 27 (December 2011)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Interval-Valued Fuzzy Congruences on Inverse Semigroups. (2011). MATEMATIKA, 27, 109-120. https://doi.org/10.11113/matematika.v27.n.300