2017•Unpublished venueRequires access

Some operations on strong intuitionistic fuzzy k-uniform hypergraphs

Qian Wang, Zengtai Gong

Abstract

Hypergraph is a useful tool to model complex systems and it could be considered as a natural generalizations of graphs. In this paper, the notion of strong intuitionistic fuzzy k-uniform hypergraph was applied and some operation of strong intuitionistic fuzzy k-uniform hypergraphs was defined, such as Cartesian product, normal product, strong product, lexicographic product, join, union. Further more, we proved if hypergraph H is formed by one of these operations, then this hypergraph is strong intuitionistic fuzzy k-uniform hypergraph.

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Available abstract

Key concepts: Hypergraph, Cartesian product, Mathematics, Join (topology), Product (mathematics), Lexicographical order, Discrete mathematics, Fuzzy logic