A new approach for operations on neutrosophic soft sets based on the novel norms for constructing topological structures
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F22%3A10251965" target="_blank" >RIV/61989100:27240/22:10251965 - isvavai.cz</a>
Result on the web
<a href="http://www.aimspress.com/article/doi/10.3934/math.2022534" target="_blank" >http://www.aimspress.com/article/doi/10.3934/math.2022534</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/math.2022534" target="_blank" >10.3934/math.2022534</a>
Alternative languages
Result language
angličtina
Original language name
A new approach for operations on neutrosophic soft sets based on the novel norms for constructing topological structures
Original language description
Neutrosophic sets have recently emerged as a tool for dealing with imprecise, indeterminate, inconsistent data, while soft sets may have the potential to deal with uncertainties that classical methods cannot control. Combining these two types of sets results in a unique hybrid structure, a neutrosophic soft set (NS-set), for working effectively in uncertain environments. This paper focuses on determining operations on NS-sets through two novel norms. Accordingly, the min-norm and max-norm are well-defined here for the first time to construct the intersection, union, difference, AND, OR operations. Then, the topology, open set, closed set, interior, closure, regularity concepts on NS-sets are introduced based on these just constructed operations. All the properties in the paper are stated in theorem form, which is proved convincingly and logically. In addition, we also elucidate the relationship between the topology on NS-sets and the fuzzy soft topologies generated by the truth, indeterminacy, falsity degrees by theorems and counterexamples.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
AIMS Mathematics
ISSN
2473-6988
e-ISSN
2473-6988
Volume of the periodical
7
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
24
Pages from-to
9603-9626
UT code for WoS article
000771919300004
EID of the result in the Scopus database
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