Affiliations: [a] Department of Mathematics, Art and Science Faculty, Harran University, Sanliurfa, Turkey
| [b] Department of Mathematics, Yazd University, Yazd, Iran
Correspondence:
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Corresponding author. Gulay Oguz, Department of Mathematics, Art and Science Faculty, Harran University, Sanliurfa, Turkey. E-mail: [email protected].
Abstract: Molodtsov proposed the theory of soft sets which can be considered as a recent mathematical tool to deal with uncertainties. The main purpose of this paper is to give the definition of soft topological hypergrupoid by examining the concept of hypergrupoid which is one of the hyperystructures with soft set theory from the topological point of view. Also, the relation between soft topological hypergroupoids and soft hypergroupoids is examined and some theoretical results are obtained. By introducing the concept of soft good topological homomorphism, the category of soft topological hypergrupoids is constructed. At last, the definition of soft topological subhypergrupoid is presented and some related properties are studied.
