**4. Conclusions**

In this research paper, we have applied the powerful technique of fuzziness to generalize the notion of competition hypergraphs and fuzzy competition graphs. Fuzzy models give more precision, flexibility and compatibility to the system as compared to the crisp models. We have mainly discussed the construction methods of various types of fuzzy hypergraphs using open and closed neighbourhoods, strong hyperedges, *k*th strength of competition and symmetric properties. We have also established strong relations among fuzzy *k*-competition hypergraphs and underlying fuzzy graphs along with fuzzy digraphs having loops at vertices. We have applied fuzzy competition hypergraphs to real-world problems for representation of fuzziness in different domains including identification of predator–prey relations, competitions in the business market and social networks which motivate the idea introduced in this research paper. We have designed certain algorithms to solve these decision-making problems.

**Author Contributions:** M.S., M.A. and N.O.A. conceived and designed the experiments; M.S. and N.O.A. wrote the paper.

**Conflicts of Interest:** The authors declare no conflict of interest.
