Answers are grounded in this paper and cite their sources.
This paper addresses an extension of the concept of topological spaces to that of hesitant fuzzy spaces. The topology is established using a conjunction and disjunction operator on hesitant fuzzy sets whose properties are discussed in the beginning. Some examples are discussed before introducing the concepts of interior and closure of a hesitant fuzzy set. The properties of these operators are verified to justify the definitions. The concepts of a hesitant fuzzy subspace topology and continuous mappings on hesitant fuzzy sets are studied. The concepts of connectedness and compactness of hesitant fuzzy topological spaces are studied and various results regarding them are proved.
No takes yet. Share an insight, caveat, or question.
Deepak et al. (2019) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: