Abstract
In this paper, we study linguistic fuzzy graph properties which consist of fuzzy paths, cut vertex and bridge. We use hedge algebra and linguistic variables for modeling to reduce complexity in computation. Modeling the Illegal immigration problem is also introduced.
Highlights
PreliminariesThis section presents basic concepts of hedge algebra (HA) and some important knowledge used in the paper.In everyday life, people use natural language (NL)for analyzing, reasoning, and make their decisions
Computing with words (CWW) [9] is a mathematical solution of computational problems stated in an NL
CWW based on fuzzy set and fuzzy logic, introduced by L
Summary
We present basic concepts of HA and some important knowledge used in the paper. Fuzzy graph (FG) has a lots of applications in both modeling and reasoning fuzzy knowledge such as Human trafficking, internet routing, illegal immigration [3] on interval [0,1] but not in linguistic values, many applications cannot model in numerical domain [9], for example, linguistic summarization problems [10]. To solve this problem, in the paper, we use an abstract algebra, called hedge algebra (HA) as a tool for computing with words. An vertex w ∈ V is called fuzzy cut vertex if deleting w and adjacent edges to (or from w) from LG reduces the strength between some pair of vertices
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