Strong incidence domination in fuzzy incidence graphs

Abstract

Fuzzy Incidence graph (FIG) is one of the most suitable ways to model real life problems when there is an influence of the vertices on the edges. Domination in FIG is a novel concept which has many applications. The study aims to introduce a new concept of domination in fuzzy incidence graphs using strong pairs and define strong incidence domination number (SIDN) using weight of strong pairs. Minimal strong incidence dominating set (MSIDS) is defined and some of its properties are discussed. Bounds for the SIDN and the properties of strong incidence dominating sets (SIDS) of some FIGs are investigated. Also a social application of the SIDN is obtained.