CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS

Document Type: Research Paper

Authors

1 Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

2 Department of Mathematics, Imam Ali Military University, Tehran, Iran

Abstract

In this note by considering a complete lattice L, we define the
notion of an L-Fuzzy hyperrelation on a given non-empty set X. Then we
define the concepts of (POM)L-Fuzzy graph, hypergraph and subhypergroup
and obtain some related results. In particular we construct the categories of
the above mentioned notions, and give a (full and faithful) functor form the
category of (POM)L-Fuzzy subhypergroups ((POM)L-Fuzzy graphs) into the
category of (POM)L-Fuzzy hypergraphs. Also we show that for each finite
objects in the category of (POM)L-Fuzzy graphs, the coproduct exists, and
under a suitable condition the product also exists.

Keywords


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