Intuitionistic fuzzy G-Congruences on a Lattice

  • Latha S Nair Mar Athanasius College Kothamangalam
DOI: https://doi.org/10.53555/m.v2i1.1573
Keywords: reflexivity, fuzzy, G-congruence, (IFL

Abstract

The definition of reflexivity of a intuitionistic fuzzy relation R on a set S is
generalized. Intuitionistic fuzzy equivalence relations on a given set and intuitionistic fuzzy
congruence relation on a lattice are studied under this generalized setting. We prove that
the set of all intuitionistic fuzzy G-congruence relations on a lattice L forms a lattice, and
also we study modularity of a special class of this lattice.
Keywords: Lattice, modular lattice, intuitionistic fuzzy lattice (IFL), intuitionistic fuzzy
relation (IFR), Intuitionistic fuzzy equivalence relations, Intuitionistic fuzzy congruence
relations

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Author Biography

Latha S Nair, Mar Athanasius College Kothamangalam

Dept. Of Mathematics,Mar Athanasius College
Kothamangalam, Kochi, Kerala

Published
2016-01-31
How to Cite
Nair, L. S. (2016). Intuitionistic fuzzy G-Congruences on a Lattice. IJRDO -JOURNAL OF MATHEMATICS, 2(1), 11-24. https://doi.org/10.53555/m.v2i1.1573
Issue
Vol. 2 No. 1 (2016): IJRDO-Journal of Mathematics
Section
Articles

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