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Article type: Research Article
Authors: Ishfaq, Muhammada | Al Ghour, Samerb | Mehmood, Arifc; * | Afzal, Farkhandad | Li, Zhongyane | Nordo, Giorgiof
Affiliations: [a] School of Control and Computer Engineering, North China Electric Power University, Beijing, China | [b] Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan | [c] Department of Mathematics, University of Science and Technology Bannu, Pakistan | [d] Department of Humanities and Basic Sciences, MCS, National University of Sciences and Technology, Islamabad, Pakistan | [e] School of Mathematics and Physics, North China Electric Power University, Beijing, China | [f] MIFT-Dipartimento di Scienze Matematiche e Informatiche, scienze Fisiche e scienze della Terra, Messina University, Messina, Italy
Correspondence: [*] Corresponding author. Arif Mehmood, Department of Mathematics, University of Science and Technology Bannu, Pakistan. E-mail: dr.arifmehmood.aims@gmail.com.
Abstract: In our work, we defined new operations in a new way in connection with vague hyper soft sets. These operations are vague hyper soft sets, vague hyper soft subsets, vague hyper soft complements, vague hyper soft null sets, vague hyper soft absolute sets, vague hyper soft union and vague hyper soft intersection. On the basis of these new operations vague hyper soft topology is defined. In addition, the concept of some generalized vague hyper soft open sets are reflected in vague hyper soft topology. Among these generalized vague hyper soft open sets vague hyper soft α-open set is selected to produce different structures. Finally, on the basis of this vague hyper soft α-open set some more results are addressed. Non-validity of some results are diffused with appropriate examples.
Keywords: Hyper soft sets, vague hyper soft sets, vague hyper soft union, vague hyper soft intersection, vague hyper soft topology, vague hyper soft α-open set
DOI: 10.3233/JIFS-212329
Journal: Journal of Intelligent & Fuzzy Systems, vol. 43, no. 3, pp. 3789-3803, 2022
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