Basic operations on hypersoft sets and hypersoft point
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Date
Authors
Abbas, Mujahid
Murtaza, Ghulam
Smarandache, Florentin
Journal Title
Journal ISSN
Volume Title
Publisher
University of New Mexico
Abstract
The aim of this paper is to initiat formal study of hypersoft sets. We first, present basic
operations like union, intersection and difference of hypersoft sets; basic ingrediants for topological
structures on the collection of hypersoft sets. Moreover we introduce hypersoft points in different
envorinments like fuzzy hypersoft set, intuitionistic fuzzy hypersoft set, neutrosophic hypersoft,
plithogenic hypersoft set, and give some basic properties of hypersoft points in these
envorinments. We expect that this will constitue an appropriate framework of hypersoft functions
and the study of hypersoft function spaces. Examples are provided to explain the newly defined
concepts.
Description
Keywords
Soft set, Hypersoft set, Set operations on hypersoft sets, Hypersoft point, Fuzzy hypersoft set, Intuitionistic fuzzy hypersoft set, Neutrosophic hypersoft, Plithogenic hypersoft set
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Citation
Abbas, Mujahid; Ghulam Murtaza; and Florentin Smarandache. "Basic operations on hypersoft sets and
hypersoft point." Neutrosophic Sets and Systems 35, 1 (2020). https://digitalrepository.unm.edu/nss_journal/vol35/iss1/23.