Bibliographic Details
| Title: |
Fuzzy Locating Code and Dominating Sets for Optimized Sensor Deployment in Uncertain Environments. |
| Authors: |
Shanmugapriya, R.1 spriyasathish11@gmail.com, Amuthini, D.2 damuthini@gmail.com |
| Source: |
IAENG International Journal of Applied Mathematics. Mar2026, Vol. 56 Issue 3, p1117-1122. 6p. |
| Subjects: |
Fuzzy graphs, Dominating set, Sensor networks, Mathematical optimization, Fuzzy sets, Graph theory |
| Abstract: |
In this work, we use fuzzy graph theory to introduce the concept of a fuzzy locating dominating set. Let fG(V, σ, μ) be simple, connected fuzzy graphs. Consider a nonempty fuzzy subset D ⊆ V (fG) of vertices. For each vertex v ∈ V\D, its relationship with the vertices of D is described by a strength vector formed using the maximum strength of connectedness to the vertices in D. The set D is called a fuzzy locating dominating set (FLDS) if it satisfies two conditions: first, every vertex in the graph is strongly dominated by at least one vertex in D second, any two vertices outside D can be distinguished by their strength vectors with respect to D. The minimum possible size of such a set is defined as the fuzzy locating domination number, denoted by γL(fG). [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
